Name:_____________________________



Name:_____________________________ Date:__________

MCAS Math – Geometry (Set 2): you can NOT use a calculator. Show all your work. No work means no credit. Drawing your own pictures might help you solve these.

1. Which of the following must be true for the rhombus shown here?

A. m[pic]DAB = m[pic]ABC B. m[pic]DAB + m[pic]ABC = 90°

C. m[pic]DAC + m[pic]BAC = 90° D. m[pic]DAC = m[pic]BAC

2. In the figure shown below, triangle TUV is formed by

joining the midpoints of the sides of equilateral triangle QRS.

Triangle WYZ is formed by joining the midpoints of the sides

of triangle TUV. If the area of triangle QRS is 64 square inches,

what is the area of triangle WYZ?

A. 1 square inch B. 4 square inches

C. 8 square inches D. 16 square inches

3. As the result of a transformation, the image of the point (-1,3)

is (-3,1). This is an example of a reflection across the…

A. line y = x B. line y = –x

C. x-axis D. y-axis

4. In Oak Park, a picnic table is located 70 feet from the water fountain and 90 feet from the swings. What is the longest possible distance that the water fountain could be from the swings?

5. In the figure shown below, [pic]is parallel to [pic], and [pic]intersects [pic]at Q. What is the measure of [pic]?

6. Runways A and B are parallel to each other

and perpendicular to Runway C. If Runway

D makes a 35° angle with Runway A as shown

in the diagram, what is the measure of the angle

marked in the diagram between Runways C and D?

7. The length of the hypotenuse of a right triangle is 13 centimeters, and the length of one leg is 12 centimeters. What is the area of the triangle?

8. The graph of square ABCD is shown to the right.

a. What is the slope of diagonal[pic]of the square?

Show or explain how you got your answer.

b. What is the slope of diagonal[pic]of the square?

Show or explain how you got your answer.

c. What is the equation of the line containing diagonal[pic]of the square? Show or explain how you got your answer.

d. What is the equation of the line containing diagonal[pic]of the square? Show or explain how you got your answer.

e. What is the relationship between the line containing diagonal[pic]and the line containing diagonal[pic]of the square? Explain your answer.

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