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100 200 300 400 6.3 Parallel Lines and Angles 6.4 Triangle Sum Theorem 6.5 Isoscele s Triangle s 6.6 Parallelog rams Secondary Math 2 6.1/6.2 Angles Pairs 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 Credits 6.7 Special Parallelog rams 100 200 300 400 500 600
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100 200 300 400 6.3 Parallel Lines and Angles 6.4 Triangle Sum Theorem 6.5 Isosceles Triangles 6.6 Parallelograms Secondary Math 2 6.1/6.2 Angles Pairs.

Jan 01, 2016

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Page 1: 100 200 300 400 6.3 Parallel Lines and Angles 6.4 Triangle Sum Theorem 6.5 Isosceles Triangles 6.6 Parallelograms Secondary Math 2 6.1/6.2 Angles Pairs.

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6.3Parallel Lines

and Angles

6.4 Triangle Sum Theorem

6.5 Isosceles Triangles

6.6Parallelograms

Secondary Math 2 6.1/6.2Angles Pairs

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600

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600

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600

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600

Credits

6.7Special

Parallelograms

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Page 2: 100 200 300 400 6.3 Parallel Lines and Angles 6.4 Triangle Sum Theorem 6.5 Isosceles Triangles 6.6 Parallelograms Secondary Math 2 6.1/6.2 Angles Pairs.

6.1/6.2 - 100

Answer

Solve for x:

5x60

Page 3: 100 200 300 400 6.3 Parallel Lines and Angles 6.4 Triangle Sum Theorem 6.5 Isosceles Triangles 6.6 Parallelograms Secondary Math 2 6.1/6.2 Angles Pairs.

6.1/6.2 - 200

Answer

If <1 and <2 form a linear pair and m<2=96°, find m<1.

Page 4: 100 200 300 400 6.3 Parallel Lines and Angles 6.4 Triangle Sum Theorem 6.5 Isosceles Triangles 6.6 Parallelograms Secondary Math 2 6.1/6.2 Angles Pairs.

6.1/6.2 - 300

Answer

(4x)(5x – 27)

Solve for x:

Page 5: 100 200 300 400 6.3 Parallel Lines and Angles 6.4 Triangle Sum Theorem 6.5 Isosceles Triangles 6.6 Parallelograms Secondary Math 2 6.1/6.2 Angles Pairs.

6.1/6.2 - 400

Answer

Solve for x:

Page 6: 100 200 300 400 6.3 Parallel Lines and Angles 6.4 Triangle Sum Theorem 6.5 Isosceles Triangles 6.6 Parallelograms Secondary Math 2 6.1/6.2 Angles Pairs.

6.1/6.2 - 500

Answer

Given the angles are complementary, find mA, if mA = (7x + 4) and mB = (4x + 9).

 

Page 7: 100 200 300 400 6.3 Parallel Lines and Angles 6.4 Triangle Sum Theorem 6.5 Isosceles Triangles 6.6 Parallelograms Secondary Math 2 6.1/6.2 Angles Pairs.

6.1/6.2 - 600

Answer

Two angles are supplementary. One angle is 3 times bigger than the other. Find the measure of each angle.

Page 8: 100 200 300 400 6.3 Parallel Lines and Angles 6.4 Triangle Sum Theorem 6.5 Isosceles Triangles 6.6 Parallelograms Secondary Math 2 6.1/6.2 Angles Pairs.

6.1/6.2 - 100 Answer

Answer: x = 12

Solve for x:

5x60

Page 9: 100 200 300 400 6.3 Parallel Lines and Angles 6.4 Triangle Sum Theorem 6.5 Isosceles Triangles 6.6 Parallelograms Secondary Math 2 6.1/6.2 Angles Pairs.

6.1/6.2 - 200 Answer

Answer: 84º

If <1 and <2 form a linear pair and m<2=96°, find m<1.

Page 10: 100 200 300 400 6.3 Parallel Lines and Angles 6.4 Triangle Sum Theorem 6.5 Isosceles Triangles 6.6 Parallelograms Secondary Math 2 6.1/6.2 Angles Pairs.

6.1/6.2 - 300 Answer

Answer: x = 23

(4x)(5x – 27)

Solve for x:

Page 11: 100 200 300 400 6.3 Parallel Lines and Angles 6.4 Triangle Sum Theorem 6.5 Isosceles Triangles 6.6 Parallelograms Secondary Math 2 6.1/6.2 Angles Pairs.

6.1/6.2 - 400 Answer

Answer: x = 9

Solve for x:

Page 12: 100 200 300 400 6.3 Parallel Lines and Angles 6.4 Triangle Sum Theorem 6.5 Isosceles Triangles 6.6 Parallelograms Secondary Math 2 6.1/6.2 Angles Pairs.

6.1/6.2 - 500 Answer

Answer: 53º

Given the angles are complementary, find mA, if mA = (7x + 4) and mB = (4x + 9).

 

Page 13: 100 200 300 400 6.3 Parallel Lines and Angles 6.4 Triangle Sum Theorem 6.5 Isosceles Triangles 6.6 Parallelograms Secondary Math 2 6.1/6.2 Angles Pairs.

6.1/6.2- 600 Answer

Answer: 45° and 135°

Two angles are supplementary. One angle is 3 times bigger than the other. Find the measure of each angle.

Page 14: 100 200 300 400 6.3 Parallel Lines and Angles 6.4 Triangle Sum Theorem 6.5 Isosceles Triangles 6.6 Parallelograms Secondary Math 2 6.1/6.2 Angles Pairs.

6.3 - 100

Answer

1 2

3 4

5 6

7 8

What kind of angles are <6 and <3?

Page 15: 100 200 300 400 6.3 Parallel Lines and Angles 6.4 Triangle Sum Theorem 6.5 Isosceles Triangles 6.6 Parallelograms Secondary Math 2 6.1/6.2 Angles Pairs.

6.3 - 200

Answer

1 2

3 4

5 6

7 8

What kind of angles are <1and <5?

Page 16: 100 200 300 400 6.3 Parallel Lines and Angles 6.4 Triangle Sum Theorem 6.5 Isosceles Triangles 6.6 Parallelograms Secondary Math 2 6.1/6.2 Angles Pairs.

6.3 - 300

Answer

Page 17: 100 200 300 400 6.3 Parallel Lines and Angles 6.4 Triangle Sum Theorem 6.5 Isosceles Triangles 6.6 Parallelograms Secondary Math 2 6.1/6.2 Angles Pairs.

6.3 - 400

Answer

a

b

Find x so that a is parallel to b.

x

115°

Page 18: 100 200 300 400 6.3 Parallel Lines and Angles 6.4 Triangle Sum Theorem 6.5 Isosceles Triangles 6.6 Parallelograms Secondary Math 2 6.1/6.2 Angles Pairs.

6.3 - 500

Answer

a

b

Find x so that a is parallel to b.

3x105°

Page 19: 100 200 300 400 6.3 Parallel Lines and Angles 6.4 Triangle Sum Theorem 6.5 Isosceles Triangles 6.6 Parallelograms Secondary Math 2 6.1/6.2 Angles Pairs.

6.3 - 600

Answer

a

b

Find x so that a is parallel to b.

8x + 4

14x – 2

Page 20: 100 200 300 400 6.3 Parallel Lines and Angles 6.4 Triangle Sum Theorem 6.5 Isosceles Triangles 6.6 Parallelograms Secondary Math 2 6.1/6.2 Angles Pairs.

6.3 - 100 Answer

Answer: Alternate Interior Angles

1 2

3 4

5 6

7 8

What kind of angles are <6 and <3?

Page 21: 100 200 300 400 6.3 Parallel Lines and Angles 6.4 Triangle Sum Theorem 6.5 Isosceles Triangles 6.6 Parallelograms Secondary Math 2 6.1/6.2 Angles Pairs.

6.3 - 200 Answer

Answer: Corresponding Angles

1 2

3 4

5 6

7 8

What kind of angles are <1and <5?

Page 22: 100 200 300 400 6.3 Parallel Lines and Angles 6.4 Triangle Sum Theorem 6.5 Isosceles Triangles 6.6 Parallelograms Secondary Math 2 6.1/6.2 Angles Pairs.

6.3 - 300 Answer

Answer: x = 20

Page 23: 100 200 300 400 6.3 Parallel Lines and Angles 6.4 Triangle Sum Theorem 6.5 Isosceles Triangles 6.6 Parallelograms Secondary Math 2 6.1/6.2 Angles Pairs.

6.3 - 400 Answer

Answer: x = 65

a

b

Find x so that a is parallel to b.

x

115°

Page 24: 100 200 300 400 6.3 Parallel Lines and Angles 6.4 Triangle Sum Theorem 6.5 Isosceles Triangles 6.6 Parallelograms Secondary Math 2 6.1/6.2 Angles Pairs.

6.3 - 500 Answer

Answer: x = 35

a

b

Find x so that a is parallel to b.

3x105°

Page 25: 100 200 300 400 6.3 Parallel Lines and Angles 6.4 Triangle Sum Theorem 6.5 Isosceles Triangles 6.6 Parallelograms Secondary Math 2 6.1/6.2 Angles Pairs.

6.3 - 600 Answer

Answer: x = 1

a

b

Find x so that a is parallel to b.

8x + 4

14x – 2

Page 26: 100 200 300 400 6.3 Parallel Lines and Angles 6.4 Triangle Sum Theorem 6.5 Isosceles Triangles 6.6 Parallelograms Secondary Math 2 6.1/6.2 Angles Pairs.

Answer

Classify the triangle below using sides and angles:

Page 27: 100 200 300 400 6.3 Parallel Lines and Angles 6.4 Triangle Sum Theorem 6.5 Isosceles Triangles 6.6 Parallelograms Secondary Math 2 6.1/6.2 Angles Pairs.

Answer

Solve for x:

50

70

x

Page 28: 100 200 300 400 6.3 Parallel Lines and Angles 6.4 Triangle Sum Theorem 6.5 Isosceles Triangles 6.6 Parallelograms Secondary Math 2 6.1/6.2 Angles Pairs.

Answer

Solve for x:

Page 29: 100 200 300 400 6.3 Parallel Lines and Angles 6.4 Triangle Sum Theorem 6.5 Isosceles Triangles 6.6 Parallelograms Secondary Math 2 6.1/6.2 Angles Pairs.

Answer

x

(2x +21)

Solve for x:

Page 30: 100 200 300 400 6.3 Parallel Lines and Angles 6.4 Triangle Sum Theorem 6.5 Isosceles Triangles 6.6 Parallelograms Secondary Math 2 6.1/6.2 Angles Pairs.

Answer

Solve for x.

Page 31: 100 200 300 400 6.3 Parallel Lines and Angles 6.4 Triangle Sum Theorem 6.5 Isosceles Triangles 6.6 Parallelograms Secondary Math 2 6.1/6.2 Angles Pairs.

Answer

Solve for x:

Page 32: 100 200 300 400 6.3 Parallel Lines and Angles 6.4 Triangle Sum Theorem 6.5 Isosceles Triangles 6.6 Parallelograms Secondary Math 2 6.1/6.2 Angles Pairs.

Answer: right and scalene

Classify the triangle below using sides and angles:

Page 33: 100 200 300 400 6.3 Parallel Lines and Angles 6.4 Triangle Sum Theorem 6.5 Isosceles Triangles 6.6 Parallelograms Secondary Math 2 6.1/6.2 Angles Pairs.

Answer: 60°

Solve for x:

50

70

x

Page 34: 100 200 300 400 6.3 Parallel Lines and Angles 6.4 Triangle Sum Theorem 6.5 Isosceles Triangles 6.6 Parallelograms Secondary Math 2 6.1/6.2 Angles Pairs.

Answer: x = 58

Solve for x:

Page 35: 100 200 300 400 6.3 Parallel Lines and Angles 6.4 Triangle Sum Theorem 6.5 Isosceles Triangles 6.6 Parallelograms Secondary Math 2 6.1/6.2 Angles Pairs.

Answer: x = 23

x

(2x +21)

Solve for x:

Page 36: 100 200 300 400 6.3 Parallel Lines and Angles 6.4 Triangle Sum Theorem 6.5 Isosceles Triangles 6.6 Parallelograms Secondary Math 2 6.1/6.2 Angles Pairs.

Answer: x = 51

Solve for x.

Page 37: 100 200 300 400 6.3 Parallel Lines and Angles 6.4 Triangle Sum Theorem 6.5 Isosceles Triangles 6.6 Parallelograms Secondary Math 2 6.1/6.2 Angles Pairs.

Answer: x = 40

Solve for x:

Page 38: 100 200 300 400 6.3 Parallel Lines and Angles 6.4 Triangle Sum Theorem 6.5 Isosceles Triangles 6.6 Parallelograms Secondary Math 2 6.1/6.2 Angles Pairs.

6.5 – 100

Answer

Find the value of x:

Page 39: 100 200 300 400 6.3 Parallel Lines and Angles 6.4 Triangle Sum Theorem 6.5 Isosceles Triangles 6.6 Parallelograms Secondary Math 2 6.1/6.2 Angles Pairs.

6.5 - 200

Answer

Find the value of x:

Page 40: 100 200 300 400 6.3 Parallel Lines and Angles 6.4 Triangle Sum Theorem 6.5 Isosceles Triangles 6.6 Parallelograms Secondary Math 2 6.1/6.2 Angles Pairs.

6.5 – 300

Answer

If the vertex of an isosceles triangle is 30º, what is the measure of one of the base angles?

Page 41: 100 200 300 400 6.3 Parallel Lines and Angles 6.4 Triangle Sum Theorem 6.5 Isosceles Triangles 6.6 Parallelograms Secondary Math 2 6.1/6.2 Angles Pairs.

6.5 - 400

Answer

If one base angle of an isosceles triangle is 30º, what is the measure of one of the vertex angle?

Page 42: 100 200 300 400 6.3 Parallel Lines and Angles 6.4 Triangle Sum Theorem 6.5 Isosceles Triangles 6.6 Parallelograms Secondary Math 2 6.1/6.2 Angles Pairs.

6.5 - 500

Answer

Given that ∆ABC is isosceles with AC BC , solve for x.

6x 2x+12

5x+8 A B

C

Page 43: 100 200 300 400 6.3 Parallel Lines and Angles 6.4 Triangle Sum Theorem 6.5 Isosceles Triangles 6.6 Parallelograms Secondary Math 2 6.1/6.2 Angles Pairs.

6.5 - 600

Answer

Given <D = <F, find the value(s) of x:

Page 44: 100 200 300 400 6.3 Parallel Lines and Angles 6.4 Triangle Sum Theorem 6.5 Isosceles Triangles 6.6 Parallelograms Secondary Math 2 6.1/6.2 Angles Pairs.

6.5 - 100 Answer

Answer: 7

Find the value of x:

Page 45: 100 200 300 400 6.3 Parallel Lines and Angles 6.4 Triangle Sum Theorem 6.5 Isosceles Triangles 6.6 Parallelograms Secondary Math 2 6.1/6.2 Angles Pairs.

6.5 - 200 Answer

Answer: 75°

Page 46: 100 200 300 400 6.3 Parallel Lines and Angles 6.4 Triangle Sum Theorem 6.5 Isosceles Triangles 6.6 Parallelograms Secondary Math 2 6.1/6.2 Angles Pairs.

6.5 - 300 Answer

Answer: 75º

If the vertex of an isosceles triangle is 30º, what is the measure of one of the base angles?

Page 47: 100 200 300 400 6.3 Parallel Lines and Angles 6.4 Triangle Sum Theorem 6.5 Isosceles Triangles 6.6 Parallelograms Secondary Math 2 6.1/6.2 Angles Pairs.

6.5 - 400 Answer

Answer: 120º

If one base angle of an isosceles triangle is 30º, what is the measure of one of the vertex angle?

Page 48: 100 200 300 400 6.3 Parallel Lines and Angles 6.4 Triangle Sum Theorem 6.5 Isosceles Triangles 6.6 Parallelograms Secondary Math 2 6.1/6.2 Angles Pairs.

6.5 - 500 Answer

Answer: x = 3

Given that ∆ABC is isosceles with AC BC , solve for x.

6x 2x+12

5x+8 A B

C

Page 49: 100 200 300 400 6.3 Parallel Lines and Angles 6.4 Triangle Sum Theorem 6.5 Isosceles Triangles 6.6 Parallelograms Secondary Math 2 6.1/6.2 Angles Pairs.

6.5 - 600 Answer

Answer: x = 10 or 1

Page 50: 100 200 300 400 6.3 Parallel Lines and Angles 6.4 Triangle Sum Theorem 6.5 Isosceles Triangles 6.6 Parallelograms Secondary Math 2 6.1/6.2 Angles Pairs.

Answer

The opposite sides of a parallelogram are __________ and __________.

Page 51: 100 200 300 400 6.3 Parallel Lines and Angles 6.4 Triangle Sum Theorem 6.5 Isosceles Triangles 6.6 Parallelograms Secondary Math 2 6.1/6.2 Angles Pairs.

Answer

A B

CD

M

Given parallelogram ABCD, if AM = 8in find AC.

Page 52: 100 200 300 400 6.3 Parallel Lines and Angles 6.4 Triangle Sum Theorem 6.5 Isosceles Triangles 6.6 Parallelograms Secondary Math 2 6.1/6.2 Angles Pairs.

Answer

Solve for x and y.

70

x

y

Page 53: 100 200 300 400 6.3 Parallel Lines and Angles 6.4 Triangle Sum Theorem 6.5 Isosceles Triangles 6.6 Parallelograms Secondary Math 2 6.1/6.2 Angles Pairs.

Answer

A B

CD

M

In parallelogram ABCD, DB = 20 cm, find DM.

Page 54: 100 200 300 400 6.3 Parallel Lines and Angles 6.4 Triangle Sum Theorem 6.5 Isosceles Triangles 6.6 Parallelograms Secondary Math 2 6.1/6.2 Angles Pairs.

Answer

A B

CD

M

In parallelogram ABCD if <MCD = 42° and <MCB = 68° find m<ABC.

Page 55: 100 200 300 400 6.3 Parallel Lines and Angles 6.4 Triangle Sum Theorem 6.5 Isosceles Triangles 6.6 Parallelograms Secondary Math 2 6.1/6.2 Angles Pairs.

Answer

Determine if the quadrilateral is a parallelogram. Support your answer.

70°

110°

Page 56: 100 200 300 400 6.3 Parallel Lines and Angles 6.4 Triangle Sum Theorem 6.5 Isosceles Triangles 6.6 Parallelograms Secondary Math 2 6.1/6.2 Angles Pairs.

Answer: parallel and congruent

The opposite sides of a parallelogram are __________ and __________.

Page 57: 100 200 300 400 6.3 Parallel Lines and Angles 6.4 Triangle Sum Theorem 6.5 Isosceles Triangles 6.6 Parallelograms Secondary Math 2 6.1/6.2 Angles Pairs.

Answer : 16

A B

CD

M

Given parallelogram ABCD, if AM = 8in find AC.

Page 58: 100 200 300 400 6.3 Parallel Lines and Angles 6.4 Triangle Sum Theorem 6.5 Isosceles Triangles 6.6 Parallelograms Secondary Math 2 6.1/6.2 Angles Pairs.

Answer: x = 70, y = 110

Solve for x and y.

70

x

y

Page 59: 100 200 300 400 6.3 Parallel Lines and Angles 6.4 Triangle Sum Theorem 6.5 Isosceles Triangles 6.6 Parallelograms Secondary Math 2 6.1/6.2 Angles Pairs.

Answer: 10

A B

CD

M

In parallelogram ABCD, DB = 20 cm, find DM.

Page 60: 100 200 300 400 6.3 Parallel Lines and Angles 6.4 Triangle Sum Theorem 6.5 Isosceles Triangles 6.6 Parallelograms Secondary Math 2 6.1/6.2 Angles Pairs.

Answer: 70°

A B

CD

M

In parallelogram ABCD if <MCD = 42° and <MCB = 68° find m<ABC.

Page 61: 100 200 300 400 6.3 Parallel Lines and Angles 6.4 Triangle Sum Theorem 6.5 Isosceles Triangles 6.6 Parallelograms Secondary Math 2 6.1/6.2 Angles Pairs.

Answer: NO, one pair of opposite side is parallel while the other pair is congruent. This does not prove the quadrilateral is a parallelogram.

Determine if the quadrilateral is a parallelogram. Support your answer.

70°

110°

Page 62: 100 200 300 400 6.3 Parallel Lines and Angles 6.4 Triangle Sum Theorem 6.5 Isosceles Triangles 6.6 Parallelograms Secondary Math 2 6.1/6.2 Angles Pairs.

6.7 – 100

Answer

Identify the parallelogram as a rectangle, rhombus, square, or none of these.

Page 63: 100 200 300 400 6.3 Parallel Lines and Angles 6.4 Triangle Sum Theorem 6.5 Isosceles Triangles 6.6 Parallelograms Secondary Math 2 6.1/6.2 Angles Pairs.

6.7 – 200

Answer

Page 64: 100 200 300 400 6.3 Parallel Lines and Angles 6.4 Triangle Sum Theorem 6.5 Isosceles Triangles 6.6 Parallelograms Secondary Math 2 6.1/6.2 Angles Pairs.

6.7 – 300

Answer

Given ABCD is a rectangle, if AC = 16 find BD.

A B

CD

Page 65: 100 200 300 400 6.3 Parallel Lines and Angles 6.4 Triangle Sum Theorem 6.5 Isosceles Triangles 6.6 Parallelograms Secondary Math 2 6.1/6.2 Angles Pairs.

6.7 – 400

Answer

Given WXYZ is a rhombus, solve for a.

W

X

Y

Z

3a

Page 66: 100 200 300 400 6.3 Parallel Lines and Angles 6.4 Triangle Sum Theorem 6.5 Isosceles Triangles 6.6 Parallelograms Secondary Math 2 6.1/6.2 Angles Pairs.

6.7 -500

Answer

T U

VW

O

If TU = 22 find the perimeter of rhombus TUVW

Page 67: 100 200 300 400 6.3 Parallel Lines and Angles 6.4 Triangle Sum Theorem 6.5 Isosceles Triangles 6.6 Parallelograms Secondary Math 2 6.1/6.2 Angles Pairs.

6.7 - 600

Answer

If 5 5AG x and 11DG x find BD

Page 68: 100 200 300 400 6.3 Parallel Lines and Angles 6.4 Triangle Sum Theorem 6.5 Isosceles Triangles 6.6 Parallelograms Secondary Math 2 6.1/6.2 Angles Pairs.

6.7 -100 Answer

Answer: rhombus

Identify the parallelogram as a rectangle, rhombus, square, or none of these.

Page 69: 100 200 300 400 6.3 Parallel Lines and Angles 6.4 Triangle Sum Theorem 6.5 Isosceles Triangles 6.6 Parallelograms Secondary Math 2 6.1/6.2 Angles Pairs.

6.7 - 200 Answer

Answer: 5 2

Page 70: 100 200 300 400 6.3 Parallel Lines and Angles 6.4 Triangle Sum Theorem 6.5 Isosceles Triangles 6.6 Parallelograms Secondary Math 2 6.1/6.2 Angles Pairs.

6.7 - 300 Answer

Answer: 16

Page 71: 100 200 300 400 6.3 Parallel Lines and Angles 6.4 Triangle Sum Theorem 6.5 Isosceles Triangles 6.6 Parallelograms Secondary Math 2 6.1/6.2 Angles Pairs.

6.7 – 400 Answer

Answer: 30

Page 72: 100 200 300 400 6.3 Parallel Lines and Angles 6.4 Triangle Sum Theorem 6.5 Isosceles Triangles 6.6 Parallelograms Secondary Math 2 6.1/6.2 Angles Pairs.

6.7 – 500 Answer

Answer: 88

Page 73: 100 200 300 400 6.3 Parallel Lines and Angles 6.4 Triangle Sum Theorem 6.5 Isosceles Triangles 6.6 Parallelograms Secondary Math 2 6.1/6.2 Angles Pairs.

6.7 – 600 Answer

Answer: 30