Cumulative Exam — Cumulative exam Answers

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Pentagon ABCDE is dilated according to the ruleDO,3(x,y) to create the image pentagon A'B'C'D'E', which is shown on the graph.

(-1, 1)

(-1, 2)

(-9, 6)

(-9, 18)

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If a triangle is equilateral, then the triangle must also be isosceles.

If a triangle is isosceles, then the triangle must also be equilateral.

If a triangle is isosceles, then the triangle will never also be equilateral.

If a triangle is equilateral, then the triangle will not always be isosceles.

Two parallel lines are crossed by a transversal.

61.8°

81.8°

118.2°

128.2°

What additional information could be used to prove ΔABC ≅ ΔMQR using SAS? Select two options.

m∠A = 64° and AB = MQ = 31 cm

CB = MQ = 29 cm

m∠Q = 56° and CB ≅ RQ

m∠R = 60° and AB ≅ MQ

AB = QR = 31 cm

A line contains the following points left to right: R, T, U, S. The space between R and T is 12 units. The space between R and S is 24 units.

SU + UT = RT

RT + TU = RS

RS + SU = RU

TU + US = RS

What is the contrapositive of the statement?All squares are rectangles.

If a figure is a square, then it is a rectangle.

If a figure is a rectangle, then it is a square.

If a figure is not a square, then it is not a rectangle.

If a figure is not a rectangle, then it is not a square.

Ricardo has a square hot tub. He wants to build a square pool next to it that is a dilation of the hot tub using a scale factor of 5.

4 ft

4.8 ft

6 ft

7.2 ft

A right angle intersects a line at point M.

They are congruent.

They are right angles.

They are complementary.

They are supplementary.

Given that D is the midpoint of AB and B is the midpoint of AC, which statement must be true?

AD = AC

AC = 4DB

AB + DC = AC

BK = KC

Angle KLM and angle MLN are a linear pair.

Angles RLN and MLK would be vertical angles.

Angles RLN and MLN would be vertical angles.

Angles RLN and KLM would be a linear pair.

Angles RLN and KLN would be a linear pair.

Triangle DEF is an isosceles, so DEF DFE.

105°

125°

150°

165°

Triangle ABC was reflected over line m, then dilated by a scale factor between 0 and 1. Which diagram illustrates these transformations?

Triangle A B C is reflected across line m and then is dilated to form smaller triangle A double-prime B double-prime C double-prime

Triangle A B C is rotated about line m and then dilated to form smaller triangle A double-prime B double-prime C double-prime

Triangle A B C is reflected across line m and then is dilated to form larger triangle A double-prime B double-prime C double-prime

Triangle A B C is rotated about line m and then dilated to form larger triangle A double-prime B double-prime C double-prime

Triangles C B A and R Q P are shown. The length of C B is 10, the length of B A is 10, and the length of A C is 14. The length of R Q is y, the length of Q P is 6, and the length of P R is 28.

A line segment has endpoints at (3, 2) and (2, –3). Which reflection will produce an image with endpoints at (3, –2) and (2, 3)?

a reflection of the line segment across the x-axis

a reflection of the line segment across the y-axis

a reflection of the line segment across the line y = x

a reflection of the line segment across the line y = –x

Triangles A B C and E F D are shown. The lengths of sides A B and E D are congruent. Angles C A B and E D F are 33 degrees. Angle A C B is 88 degrees and angle D E F is 58 degrees.