MCAS Geometry Released Questions 2018-2023

Trevor drew the design shown on this coordinate plane.

Then, he rotated his design 180° clockwise about the origin. Which of the following is the image of Trevor’s design after he rotated it?

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Two rectangles and some of their dimensions are shown.

The rectangles are similar. What is r, the length in feet of the smaller rectangle?

(a)  

Laura drew a triangle with the dimensions shown.

Which of the following triangles is congruent to Laura’s triangle?

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Right triangle JAZ has a base of 5 centimeters and a height of 8 centimeters, as shown.

Which of the following pairs of dimensions could
represent a triangle that is similar to triangle JAZ?

• base = 9 cm      height = 12 cm

• base = 8 cm      height = 11 cm

• base = 10 cm   height = 8 cm

• base = 15 cm   height = 24 cm

Triangle XYZ and some of its measurements are shown.

Triangle MNO, not shown, is similar to triangle XYZ. What is the measure, in degrees, of ∠N?

• 30°

• 45°

• 60°

• 90°

Trapezoid DEFG is shown on this coordinate plane.

Trapezoid DEFG will be reflected over the x-axis. What
will be the coordinates of the image of point E?

• (3,-4)

• (4,-3)

• (-3,-4)

• (-4,-3)

Line segment UV is shown on this coordinate plane.

Point W, not shown, lies on line segment UV. The coordinates (x,y) represent point W.

Line segment UV will be reflected over the y-axis. After the reflection, what will be the coordinates of the image of point W?

• (-y,x)

• (y,-x)

• (x,-y)

• (-x,y)

Parallelogram EFGH was transformed to create its image, parallelogram E'F'G'H', as shown on this coordinate plane.

Part A: Describe the transformation that was performed on parallelogram EFGH to create parallelogram E'F'G'H'. Show or explain how you got your answer.

Enter your answer and your work or explanation in the space provided.

Part B: Is parallelogram EFGH congruent to parallelogram E'F'G'H'? Explain your reasoning.

Enter your answer and your explanation in the space provided.

Part C: Parallelogram E'F'G'H' will be reflected over the x-axis to create its image, parallelogram E''F''G''H''.

Will parallelogram E''F''G''H'' be congruent to parallelogram EFGH? Explain your reasoning.

Enter your answer and your explanation in the space provided.