Outcome F Quadrilaterals Flash Card Review. Question 1 What is the sum of the interior angles of a hexagon? Hint: how many sides does a hexagon have?

Outcome F QuadrilateralsFlash Card Review

Question 1

What is the sum of the interior angles of a hexagon?

Hint: how many sides does a hexagon have?

Answer 1

What is the sum of the interior angles of a hexagon?

Hint: how many sides does a hexagon have?

• Hexagon has 6 sides. • n = 6

Question 2

What is the sum of the exterior angles of a hexagon?

Hint: how many sides does a hexagon have?

Answer 2

What is the sum of the exterior angles of a hexagon?

Hint: how many sides does a hexagon have?

The sum of the exterior angles of any polygon is 360°

Used to find the measure of 1 ext. angle

Measure of 1 ext. angle

Number of sides

Question 3

Find the measure of one exterior and one interior angle of a regular decagon.

Hint: how many sides does a decagon have?

Answer 3

Find the measure of one exterior and one interior angle of a regular decagon.

Question 4

Answer 4

Question 5

Determine if the following figure is a parallelogram.

Hint: Tests for Parallelograms

Answer 5

Determine if the following figure is a parallelogram.

Hint: Tests for Parallelograms

Yes, a pair of opposite sides are both congruent AND parallel.

Question 6

Determine if the following figure is a parallelogram.

Hint: Tests for Parallelograms

Answer 6

Determine if the following figure is a parallelogram.

Hint: Tests for Parallelograms

No, only have one pair of parallel lines and another pair of congruent sides.

Question 7

Determine if the following figure is a parallelogram.

Hint: Tests for Parallelograms

120°

Answer 7

Determine if the following figure is a parallelogram.

Hint: Tests for Parallelograms

120°

No, only given on pair of congruent sides and one interior angle measure. Not given enough information

Question 8

What are the four ways to prove that quadrilaterals are parallelograms on a coordinate plane?

Hint: Tests for Parallelograms

Answer 8

What are the four ways to prove that quadrilaterals are parallelograms on a coordinate plane?

Hint: Tests for Parallelograms

1. Slope Formula: both pairs of opposite sides have to be PARALLEL

2. Distance Formula: Both pairs of opposite sides have to be CONGRUENT

3. Midpoint Formula: DIAGONALS need to intersect at the same MIDPOINT

4. Distance & Slope Formula: One pair of opposite sides has to be PARALLEL and CONGRUENT

Question 9

A B

CD

E

35°37°

Hint: Consecutive angles of a parallelogram are supplementary

Answer 9

A B

CD

E

35°37°

Hint: Consecutive angles of a parallelogram are supplementary

180 – (37 + 35) = 108

Question 10

Find the length of DB if AM = 2x + 1 and DM = 5x – 5 in rectangle ABCD

M

D C

BA

Answer 10

M

D C

BA2x + 1 = 5x – 5

6 = 3x2 = x

DM = 5(2) – 5DM = 5

DB = 5(2) = 10

Find the length of DB if AM = 2x + 1 and DM = 5x – 5 in rectangle ABCD

Question 11

M A

T R

S

Answer 11

M A

T R

S

4x + 5 + 9x + 20 = 9013x + 25 = 90

13x = 65x = 13

Question 12

M

D C

BA

Given the m CAB = ∠ 30° and BC = 17 in rectangle ABCD, find AB.

Hint: Special Right Triangles

Answer 12

M

D C

BA

Given the m CAB = ∠ 30° and BC = 17 in rectangle ABCD, find AB.

C

A B30°

17

Question 13

T E

A M

If TA =16 in square TEAM, find MA.

Hint: Special Right Triangles

Answer 13

T E

A M

If TA =16 in square TEAM, find MA.

Hint: Special Right Triangles

Question 14

Solve for x and y. Find the most descriptive name for parallelogram UVWX.

Answer 14

Solve for x and y. Find the most descriptive name for parallelogram UVWX.

4x + 1 = 2x + 52x = 4x = 2

5y + 4 = 3y + 62y = 2y = 1

UV = 9 WX = 9UX = 9 VW = 9

Square: diagonals are congruent and all 4 sides are

congruent.

Question 15

A

DB

C

E

In rhombus ABCD, find BD if AB = 5 and AC = 8

Answer 15

In rhombus ABCD, find BD if AB = 5 and AC = 8

A

DB

C

E

54

4

3 3

Question 16

A

DB

C

E

Answer 16

Question 17

Determine whether the figure with vertices A(8, -1), B(6, 5), C(-7, 2), D(-5, -4) is a parallelogram.

Answer 17

Determine whether the figure with vertices A(8, -1), B(6, 5), C(-7, 2), D(-5, -4) is a parallelogram.

Question 18

Determine whether the parallelogram with vertices A(1, 3), B(-3, 1), C(-1, -3), and D(3, -1) is a rectangle, a rhombus, a square or none of these. List all that apply

Answer 18

Determine whether the parallelogram with vertices A(1, 3), B(-3, 1), C(-1, -3), and D(3, -1) is a rectangle, a rhombus, a square or none of these. List all that apply

Square