Math AIMS Blitz

Math AIMS Blitz

Geometric ConceptsThursday, March 25

Those interested in taking the on-line test

Period 1Define or draw.

1. midpoint

2. perimeter

3. bisect

4. dilation

5. rotation

6. reflection

7. isosceles

8. scalene

9. equilateral triangle

10. acute triangle

Period 1 ANSWERSDefine.

1. midpoint point which cuts a segment in half

2. perimeter distance around a figure

3. bisect cut something into half (2 equal parts)

4. dilation to make smaller or larger

5. rotation spin

6. reflection mirror image

7. isosceles two equal sides

8. scalene no equal sides

9. equilateral triangle triangle with all equal sides (equal angles, too)

10. acute triangle triangle with all angles less than 90 degrees

Period 2Define or draw.

1. quadrilateral2. trapezoid3. hexagon4. pentagon5. octagon

5. decagon

6. rhombus

8. acute angle

9. obtuse angle

10. right angle

Period 2 ANSWERSDefine.

1. quadrilateral 4-sided polygon (closed shape with straight lines)

2. trapezoid quadrilateral with only one pair of parallel sides

3. hexagon 6-sided polygon

4. pentagon 5-sided polygon

5. octagon 8-sided polygon

6. decagon 10-sided polygon

7. rhombus quadrilateral with all equal sides

8. acute angle angle measuring less than 90 degrees

9. obtuse angle angle measuring more than 90 degrees

10. right angle angle measuring 90 degrees

Period 31. Look at the triangle. 5 4

What is not a possible value of x? x + 2

a. 0 b. 3 c. 5 d. 7

2. In the diagram, RT intersects QU at point S. Q Which postulate should be used to prove that T ∆RQS ∆TUS

R Sa. Side-Side-Side b. Angle-Side-Angle U

c. Angle-Side-Side d. Side-Angle-Side

3. In the diagram, MT bisects AH at point T. M Which postulate should be used to prove that

∆MAT ∆MHTa. Side-Side-Side b. Angle-Side-Angle A T H

c. Angle-Side-Side d. Side-Angle-Side

Period 31. Look at the triangle. 5 4

What is not a possible value of x? x + 2

a. 0 b. 3 c. 5 d. 7

2. In the diagram, RT intersects QU at point S. Q Which postulate should be used to prove that T ∆RQS ∆TUS

R Sa. Side-Side-Side b. Angle-Side-Angle U

c. Angle-Side-Side d. Side-Angle-Side

3. In the diagram, MT bisects AH at point T. M Which postulate should be used to prove that

∆MAT ∆MHTa. Side-Side-Side b. Angle-Side-Angle A T H

c. Angle-Side-Side d. Side-Angle-Side

x+2 has to be less than 5 + 4 and greater than 5-4

A S A A S A

Mark what is given as A for Angle or S for Side and then compare to answers.

S S

S

S S

S

Period 41. The coordinates (2,2) and (-3, 1)

are two of the vertices of the figure on the coordinate plane.

25.85.5.7. DCBA

2. Points ( 4, 9) and (1, 5) lie on a coordinate plane. What is the distance between the two points?

3. Points ( -1, 5) and (1, -4) lie on a coordinate plane. What is the distance between the two points?

2.

2int

)()(

2121

212

212

yyxxMidpo

yyxxST

Distance between two points:

Midpoint between two points:25.85.

5.7.

DC

BA

Period 4 ANSWERS1. The coordinates (2,2) and

(-3, 1) are two of the vertices of the figure on the coordinate plane.

25.85.5.7. DCBA

2. Points ( 4, 9) and (1, 5) lie on a coordinate plane. What is the distance between the two points?

3. Points ( -1, 5) and (1, -4) lie on a coordinate plane. What is the distance between the two points?

2.

2int

)()(

2121

212

212

yyxxMidpo

yyxxST

Distance between two points:

Midpoint between two points:25.85.

5.7.

DC

BA

Period 51. Look at circle M. 4 8

What is the value of x? x

6 M

a. 4 b. 8 c. 9 d. 12

N Q

S

M R

P

2. Chords NP and MQ intersect at point S in circle R. If MS = 3, NS = 6, and SQ = 8, what is the length of SP?

a. 9 b. 12 c. 14 d. 4

Period 5 ANSWERS1. Look at circle M. 4 8

What is the value of x? x

6 x 8 = 4 x what number? 6 M

a. 4 b. 8 c. 9 d. 12

N Q

S

M R

P

2. Chords NP and MQ intersect at point S in circle R. If MS = 3, NS = 6, and SQ = 8, what is the length of SP?

3 x 8 = 6 x what number?

a. 9 b. 12 c. 14 d. 4

Period 61. How much greater is the volume of a cube when

the length of each side is multiplied by 3?

a. 3 times as great b. 6 times as great

c. 9 times as great d. 27 times as great

2. The area of a larger square is 16 times the area of a smaller square. How many times as long is the base of the larger square than the base of the smaller square?a. 2 times as long b. 4 times as longc. 8 times as longs d. 16 times as long

3. Figure EFGH has a perimeter of 40 cm and an area of 96 cm2. It is dilated by a factor of ¼ to create figure E’F’G’H’. What statement about the perimeter (P) and the area (A) of figure E’F’G’H’ is true?a. P = 10 cm; A = 6 cm2 b. P = 10 cm; A = 24 cm2

c. P = 160 cm; A = 102 cm2 d. P = 160 cm; A = 384 cm2

Period 6 ANSWERS1. How much greater is the volume of a cube when the length

of each side is multiplied by 3? Since volume is 3 dimensional, take the amount multiplied by itself 3 times.

a. 3 times as great b. 6 times as greatc. 9 times as great d. 27 times as great

2. The area of a larger square is 16 times the area of a smaller square. How many times as long is the base of the larger square than the base of the smaller square? Since area is 2 dimensional, find the square root of the area.

a. 2 times as long b. 4 times as longc. 8 times as longs d. 16 times as long

3. Figure EFGH has a perimeter of 40 cm and an area of 96 cm2. It is dilated by a factor of ¼ to create figure E’F’G’H’. What statement about the perimeter (P) and the area (A) of figure E’F’G’H’ is true? The factor is ¼… divide the dimensions by 4 and the area (2 dimension) by 42 or 16.

a. P = 10 cm; A = 6 cm2 b. P = 10 cm; A = 24 cm2

c. P = 160 cm; A = 102 cm2 d. P = 160 cm; A = 384 cm2