Free Printable MCAS Geometry Released Questions 2018-2023

Worksheets

MCAS Geometry Released Questions 2018-2023

Total questions: 41

Worksheet time: 52mins

Name

Class

Date

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?

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?

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.

4 lines

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.

4 lines

10.

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.

4 lines

11.

On this coordinate plane, triangle ABC will be rotated 90° clockwise about the origin to form its image, triangle A'B'C'.

Select the correct orientation of triangle A'B'C'.

(on the MCAS test you will have to drag and drop this option onto the graph correctly.)

12.

Triangle JKL is shown on the coordinate plane. A
student will reflect triangle JKL across the y-axis.

Plot the vertices of the image of triangle JKL after
the reflection.

Select (DRAW) the locations on the coordinate plane to plot the vertices.

13.

A transformation of triangle HJK resulted in its image, triangle H'J'K', as shown on this coordinate plane.

Determine which transformation of triangle HJK resulted in its image, triangle H'J'K'. Select from the drop-down menus to correctly complete the sentences.

Triangle HJK can be (a) to form triangle H'J'K'.

Triangle HJK is (b) to triangle H'J'K'

Choose from the below words

reflected over the x-axis

translated 4 units to the right

rotated 90 degrees clockwise about the origin

reflected over the y-axis

congruent

not congruent

14.

Part A: Pentagon L will be reflected over the y-axis. Which of the following must be true about the image of pentagon L?

Each of the coordinates of its vertices is negative.

It intersects both the x-axis and the y-axis.

Its area is larger than the area of pentagon L.

Its perimeter is equal to the perimeter of pentagon L.

15.

Part B Triangle T will be translated 5 units up and 3 units to the left. Which of the following must be true about the image of triangle T?

It intersects the x-axis.

It is a reflection of triangle T

Its area is equal to the area of triangle T.

Each of the coordinates of its vertices is positive.

16.

What is the measure, in degrees, of ∠ JMK? Show or explain how you got your answer.

4 lines

17.

What is the sum of the measures, in degrees, of ∠ JMK and ∠ KML? Show or explain how you got your answer.

4 lines

18.

What is the measure, in degrees, of ∠ MKL? Show or explain how you got your answer.

4 lines

19.

Is triangle JKL similar to triangle KML? Explain your reasoning.

4 lines

20.

Which statement about the squares is true?

The sum of the areas of square A and square C is equal to the area of square B.

The sum of the areas of square A and square B is equal to the area of square C.

The sum of the areas of square A and square C is less than the area of square B.

The sum of the areas of square A and square B is greater than the area of square C.

21.

What is the volume, in cubic centimeters, of the cone?

30 $\pi$

150 $\pi$

450 $\pi$

600 $\pi$

22.

Lines m and n are parallel lines cut by transversal t, as shown.

The measure of $\angle1$ is $120\degree$ . What is the measure of $\angle2$ ?

$30\degree$

$60\degree$

$90\degree$

$120\degree$

23.

A rectangle and one of its diagonals are shown in this diagram.

Based on the dimensions in the diagram, what is the value of x?

17.5

37.5

24.

A candle is in the shape of a cylinder. The candle has a diameter of 6 inches and a height of 5 inches.

What is the volume of the candle? (Use 3.14 for π.)

94.2 cubic inches

141.3 cubic inches

150.7 cubic inches

188.4 cubic inches

25.

Aaron drew a map showing the locations of two cities, Oden and Lundy, on a grid.

The map and its scale are shown.

Aaron drew a straight line from Oden to Lundy. Which of the following is closest to the distance between Oden and Lundy along the straight line?

8 miles

10 miles

12 miles

14 miles

26.

A student bought a piece of hard candy that is in the shape of a sphere. The candy has a radius of 3 centimeters.

Which of the following is closest to the volume of the piece of candy? (Use 3.14 for π.)

14.13 cubic centimeters

37.68 cubic centimeters

113.04 cubic centimeters

904.32 cubic centimeters

27.

This diagram shows a cylinder that has a radius of 3 inches and a height of 5 inches.

What is the valume, in cubic inches, of the cylinder?

$15\pi$

$30\pi$

$45\pi$

$60\pi$

28.

Triangle PTU is shown on this coordinate plane.

What is the length, to the nearest unit, of $\overline{TU}$ ?

29.

Parallel lines j and k are cut by transversal line p, creating the angles shown. Select all the numbered angles that must be congruent to angle x.

30.

Drag an drop a number into each box so that the numbers represent the side lengths of the right triangle shown.

Width: (a) in.

Hypotenuse: (b) in.

Choose from the below words

31.

Rectangle MNPQ is drawn on a coordinate plane.

Determine whether the transformations of rectangle MNPQ described in the table would create an image that is congruent to rectangle MNPQ.

For each transformation, select "Congruent" or "Similar but Not Congruent".

32.

Parallel lines q and r are intersected by transversal line c.

Determine the measures of angles FGV, JGP, and GPT.

Drag and drop an angle measure into each box to correctly show the measures of the angles. Each angle measure may be used once, more than once, or not at all.

Box #1: (a)

Box #2: (b)

Box #3: (c)

Choose from the below words

$67\degree$

$140\degree$

$40\degree$

73\degree

107\degree

33.

A ladder is placed against the outside wall of a building, as shown.

Create an equation to show the relationship between the height of the building, the length of the ladder, and the distance between the building and the bottom of the ladder.

Drag and drop a number into each box to complete the equation.

Each number may be used once or not at all.

(a) ²+ (b) ² = (c) ²

Choose from the below words

7.2

9.6

4.8

15.4

34.

Line segment GH is graphed on this coordinate plane.

Line segment GH has a length of k units.

Drag and drop a number or letter into each box to create an equation that can be used to determine k, the length in units of line segment GH

. Each number or letter may be used once, more than once, or not at all.

(a) ²+ (b) ² = (c) ²

Choose from the below words

35.

A right circular cylinder and some of its dimensions are shown in this diagram.

Which of the following is the volume, in cubic inches, of the cylinder?

$27\pi$

$54\pi$

$81\pi$

$324\pi$

36.

A student performed three sequences of transformations on triangle ABC on a coordinate plane. Determine whether the resulting image after each sequence of transformations is congruent to triangle ABC.

Select “Congruent” or “Not Congruent” for each sequence of transformations in this table.

37.

A slide has a ladder that is 13 feet long. This diagram shows the ladder, the slide, and some dimensions.

What is the length, in feet, of the slide?

12.0 feet

15.0 feet

15.8 feet

19.1 feet

38.

One side of a right triangle has a length of 5 centimeters. Another side of the triangle has a length of 10 centimeters.

Which of the following could represent the length, in centimeters, of the third side of the triangle?

Select the two correct answers.

$\sqrt[]{50}$

$\sqrt[]{75}$

$\sqrt[]{125}$

39.

Corine drew line segment ST on a coordinate plane, as shown.

Corine will translate line segment ST 4 units to the right and then

4 units down. After the transformations, what will be the length, in units, of the image of line segment ST?

Enter your answer in the box.

(a) units.

40.

Isosceles triangle EFG and one of its angle measures are shown in this diagram.

Triangle RST, not shown, is congruent to triangle EFG. What are the measures, in degrees, of the interior angles of triangle RST?

Drag and drop a number into each box to complete the equations. Each number may be used once, more than once, or nat at all.

$m\angle R=$ (a) $\degree$

$m\angle S=$ (b) $\degree$

$m\angle T=$ (c) $\degree$

Choose from the below words

41.

Quadrilateral TUVW is shown on this coordinate plane.

Quadrilateral TUVW will be rotated 180 degrees clockwise about the origin. What will the coordinates of the image of point V after the rotation?

(

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MCAS Geometry Released Questions 2018-2023

Total questions: 41

Worksheet time: 52mins

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.

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

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

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