GRIDDED RESPONSE

13. What is the value of x for which p ∥ q ? p parallel to q question mark

    

14. What is the measure of ∠ H ? angle h question mark

    

15. What is the area of the square, in square units, in the figure below?

    

16. In ▱ white parallelogram PQRS, what is the value of x?

    

17. For what value of x are the two triangles similar?

    

18. Your friend is 5 ft 6 in. tall. When your friend's shadow is 6 ft long, the shadow of a nearby sculpture is 30 ft long. What is the height, in feet, of the sculpture?
19. Lucia makes a triangular garden in one corner of her fenced rectangular backyard. She has 25 ft of edging to use along the unfenced side of the garden. One of the fenced sides of the garden is 15 ft long. What is the length, in feet, of the other fenced side of the garden?

Short Response

20. Δ D E B cap delta d e b  has vertices D ( 3 , 7 ) , E ( 1 , 4 ) , and  B ( − 1 , 5 ) . d open 3 comma 7 close comma e open 1 comma 4 close comma , and b open negative 1 comma 5 close .  In which quadrant(s) is the image of Δ D E B cap delta d e b  for a 270 ° 270 degrees  rotation about the origin? Draw a diagram.
21. What is the area of an isosceles right triangle whose hypotenuse is 7 2 ? 7 square root of 2 question mark  Show your work.
22. The coordinates of the endpoints of C D ¯ c d bar  are C(5, 2.5) and D ( 0 , − 9.5 ) . d open 0 comma negative 9.5 close .  Find the length of C D ¯ c d bar  and the coordinates of the midpoint of C D ¯ . c d bar , .  Show your work.
23. In Δ A B C cap delta eh b c  below, A B ¯ ≅ C B ¯ eh b bar , approximately equal to , c b bar  and B D ¯ ⊥ A C ¯ . b d bar , up tack . eh c bar , .  Prove that Δ A B D ≅ Δ C B D . cap delta eh b d approximately equal to cap delta c b d .

    

Extended Response

24. Is Δ A B C cap delta eh b c  a right triangle? Justify your answer.

    

25. The capital letter T shown below is made up of five congruent squares. Sketch a tessellation using congruent copies of this T. What symmetries does your tessellation have?

    

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