Name: ______Date: ______

Geometry: Chapter 6 Test Review

Directions: Show all work in order to receive full credit.

1.While attending a school carnival, you estimate the ratio of children to adults as If there are 180 people at the carnival, about how many children are in attendance?

a. / about 180 / b. / about 150 / c. / about 60 / d. / about 120

2.The ratios of the side lengths of triangle ABC are 7:9:12 (AB:AC:BC). Solve for x.

3.A survey indicated that 5 out of 8 doctors used brand X aspirin. If 4000 doctors were surveyed, how many used brand X?

4.If , then ______.

a. / / c. /
b. / ac = bd / d. /

5.Which triangle is not similar to any of the others?

6.Two ladders are leaning against a wall at the same angle as shown. How long is the shorter ladder?

a. / 18 ft / b. / 22 ft / c. / 36 ft / d. / 8 ft

Tell whether each pair of triangles is similar. Explain your reasoning.

7.

Determine whether the triangles are similar. If they are, write a similarity statement.

8. / 9.

10.
/ 11.

12.InandIn and State whether the triangles are similar, and if so, write a similarity statement.

13.EXTENDED RESPONSE

Part A How do you know that is similar to

Part B How do you know that is similar to

Part C Find MK.

Part D Name one other triangle in the diagram that is similar to

14.Find the value of x to one decimal place.

a. / 2.2 / b. / 22.5 / c. / 0.5 / d. / 19.0

15.If p q, solve for x.

16.In the diagram . Use the given side lengths to find the length of .

17.Find AC.

18. Solve for a andb.
/ 19. Find a, b, and h.

20. Find the length of the altitude drawn to the hypotenuse.
/ 21.Find the value of x.

22.The geometric mean of 5 and 15 is ______.

23.Find the geometric mean of 100 and 7.

Geometry: Chapter 6 Test Review

Answer Section

1.D

2.6

3.2500 used brand X

4.C

5.A

6.A

7.Yes; The two right angles are congruent, and since parallel lines are given the alternate interior angles are congruent, so the triangles are similar by the AA Similarity Postulate

8.Similar;

9.Not similar

10.Not similar

11.Similar;

12.similar,

13.Part Ais similar to because the ratios of the two pairs of corresponding side lengths are equal and the pair of included corresponding angles is congruent.and

Part Bis similar to because 2 pairs of corresponding angles are congruent.because they are the same angle.because they are both right angles.

Part C 7.2 cm; The length of the hypotenuse of is known, 12 cm. Use the Pythagorean Theorem to find the length of the hypotenuse of Set up and solve a proportion to find the length of

Part D Answers may vary. Students may name either or

14.D

15.12

16.

17.

18.a = ; b =

19.a= 12, b = , h =

20.6

21.7

22.

23.10