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Math AIMS Blitz. Geometric Concepts Thursday, March 25 Those interested in taking the on-line test. Period 1. reflection isosceles scalene equilateral triangle acute triangle. Define or draw. midpoint perimeter bisect dilation rotation. Period 1 ANSWERS. Define.

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Math AIMS Blitz

Geometric Concepts

Thursday, March 25

Those interested in taking the on-line test

Period 1
• reflection
• isosceles
• scalene
• equilateral triangle
• acute triangle

Define or draw.

• midpoint
• perimeter
• bisect
• dilation
• rotation
Period 1 ANSWERS

Define.

• midpoint point which cuts a segment in half
• perimeter distance around a figure
• bisect cut something into half (2 equal parts)
• dilation to make smaller or larger
• rotation spin
• reflectionmirror image
• isoscelestwo equal sides
• scaleneno equal sides
• equilateral triangletriangle with all equal sides (equal angles, too)
• acute triangletriangle with all angles less than 90 degrees
Period 2
• decagon
• rhombus
• acute angle
• obtuse angle
• right angle

Define or draw.

• quadrilateral
• trapezoid
• hexagon
• pentagon
• octagon
Period 2 ANSWERS

Define.

• quadrilateral 4-sided polygon (closed shape with straight lines)
• trapezoid quadrilateral with only one pair of parallel sides
• hexagon 6-sided polygon
• pentagon 5-sided polygon
• octagon 8-sided polygon

6. decagon 10-sided polygon

7. rhombus quadrilateral with all equal sides

• acute angle angle measuring less than 90 degrees
• obtuse angle angle measuring more than 90 degrees
• right angle angle measuring 90 degrees
Period 3

1. Look at the triangle. 5 4 What is not a possible value of x? x + 2

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

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

a. 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  ∆MHT

a. Side-Side-Side b. Angle-Side-Angle A T H

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

Period 3

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

1. Look at the triangle. 5 4 What is not a possible value of x? x + 2

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

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

a. 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  ∆MHT

a. Side-Side-Side b. Angle-Side-Angle A T H

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

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

Distance between two points:

Midpoint between two points:

Period 4
• 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?

1. The coordinates (2,2) and (-3, 1) are two of the vertices of the figure on the coordinate plane.

Distance between two points:

Midpoint between two points:

Period 4 ANSWERS
• 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?

1. The coordinates (2,2) and (-3, 1) are two of the vertices of the figure on the coordinate plane.

N Q

S

M R

P

• 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

1. 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

• 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 5 ANSWERS

1. 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

Period 6

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 long

c. 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

• 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

Period 6 ANSWERS
• 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 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? Since area is 2 dimensional, find the square root of the area.

a. 2 times as long b. 4 times as long

c. 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