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Name:_____________________________ Date:__________

MCAS Math – Geometry (Set 1): you can use a calculator. Show all your work. No work means no credit. Drawing pictures would be a good idea to help you solve the problem.

1. A square has a side of length 12 centimeters. Which of the following is closest to the length of a diagonal of the square?

A. 12cm B. 17cm C. 21cm D. 24cm

2. The coordinates of four points are given to the left. Which of the A (3, 3) A’ (-3, 3)

following transformations maps [pic] to [pic]? B (4, -4) B’ (4, 4)

A. 180° counterclockwise rotation about the origin B. reflection across the y-axis

C. 90° counterclockwise rotation about the origin D. reflection across the x-axis

3. Which of the following is an equation for a line that is not parallel to the line with the equation

–x + 4y – 8 = 0?

A. y = ¼x – 1 B. y = ¼x + 21 C. −2x + 4y − 8 = 0 D. −x + 4y + 8 = 0

4. A kite has perpendicular diagonals with the measures shown in the drawing here.

What is the perimeter, in inches, of the kite?

A. 130 B. 165

C. 260 D. 310

5. In the figures shown below, ΔABC is similar to ΔXYZ. What is the length of [pic]?

A. 2.0 cm B. 4.5 cm

C. 12.5 cm D. 22.5 cm

6. [pic]has one endpoint at A(2, 5), and its midpoint is at (4, 0). What are the coordinates of B, the other endpoint of [pic]?

A. (2, −5) B. (3, 2.5) C. (6, −5) D. (6, 2.5)

7. What is the measure of [pic]B in the figure to the right?

A. 34° B. 56°

C. 62° D. 68°

8. A landscaper's scale model of a patio is shown on the coordinate plane below. All of the corners of the patio form right angles, and the patio has both a horizontal and a vertical line of symmetry. The coordinates of some of the vertices are shown.

[pic]

a. What is the total perimeter of the patio, in yards? Show or explain how you got your answer.

b. What is the total area of the patio, in square yards? Show or explain how you got your answer.

c. A circular fountain will be placed in the center of the patio at the point where the patio’s lines of symmetry intersect. What are the coordinates of the point that shows where the center of the fountain will be placed? Show or explain how you got your answer.

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