Posttest Final.docx

GEOMETRY ACHIEVEMENT TEST Name: _____________________________________________________ Grade & Section: ____________________________ General Instruction: Encircle the letter corresponding to your answer. 1. It is refers to a part, a share, or a number considered in comparative relation to a whole. A. Proportion B. Rate C. Ratio D. Scale 2. The distance between towns A and B measures 8.5 cm on the map. Calculate the approximate distance between these towns if the map was drawn to the scale of 1cm: 150m. A. 1275m

B. 1725m

C. 2175m

3. Solve for the missing value in the proportion: A. x = 0.02

B. x = 4

D. 2715m

. C. x = 5

D. x = 49

4. In the last three years, Frederico’s basketball team won 30 more games than their number of losses. If they won 150 games, identify the ratio of wins to losses in three different ways. A.

C.

5

, 5 to 6, 5:6 6

B.

5 1

4

D.

, 5 to 1, 5:1

A. 1/16

A

B

5

10

B. 1/8

, then illustrate A.

2𝑦 12

=

C. 1/4

A. –3

C.

D.

C. 5

D. 6

4

, solve for n. B.

C.

B. 18

11. Solve for the value of m using A.

1 25

D. 1/2

C. 9:4 ; 7:3 D. 9:5 ; 7:3

10. Identify the value of a using the expression, A. 9

4

determine the ratio of A to B.

2

B. 4

9. Using the expression

, 1 to 5, 1:5

.

B.

8. Compute the value of y:

, 5 to 4, 5:4

C

6. Generate the simplified ratio of 45:20 ; 35:10. A. 9:4 ; 7:2 B. 9:5 ; 7:2

A. 3

1 5

5. Using the figure

7. If

5

B. 5

D. 3

. C. 54

D. 81

C.

D. 25

.

1

12. A shoe costs a cobbler $400. He sells it for $520. Assess what percentage of profit did he earn? A. 0.25 B. 0.3 C. 0.35 D. 0.45

For items 13-16: Parallelogram EFGH is similar to parallelogram WXYZ.

13. Identify the scale factor. A. 2

B. 3

14. What is the length of A. 3 in

C. 4

D. 5

C. 9 in

D. 12 in

WZ . B. 6 in

15. If the measure of angle F is 100 degrees, determine the measure of angle X. A. 80 degrees

B. 90 degrees

C. 100 degrees

D. 110 degrees

16. Compute the perimeter of the parallelogram WXYZ. A. 20 in

B. 25 in

C. 30 in

D. 35 in

17. Lance the alien is 5 feet tall. His shadow is 8 feet long. At the same time of day, a tree’s shadow is 32 feet long. Identify the height of the tree.

A. 20 ft.

B. 24 ft.

C. 29 ft.

D. 51 ft.

18. Triangles EFG and QRS are similar. Compare which statement is not correct. A. EF  CE QR SQ

B. FG  EG RS QS

C. FG  EF RS

QS

D. GE  FE SQ

RQ

19. Triangle PQR is similar to triangle DEF as shown. Examine which describes the relationship between the corresponding sides of the two triangles.

A.

PQ 4  DE 6

B.

PQ 6  DE 4

C.

PQ 4  EF 9

D.

PR 6  DE 6

20. In the Figure PQR is similar to XYZ. Classify which of the following choices gives the perimeter of XYZ?

A. 21 cm

B. 63 cm

C. 105 cm

D. 126 cm

21. ABC is similar to XYZ. Measure the length of segment BC .

A. 5 cm

B. 7.5 cm

C. 8 cm

D. 9 cm

22. Two rectangles are similar. The first is 4 in wide and 15 in long. The second is 9 in wide. Find the length of the second rectangle. A. 33 in

B. 33.25 in

C. 33.50 in

D. 33.75 in

23. Identify which of the following statements is true about similar triangles? A. B. C. D.

Similar triangles differ in shape but are the same in size. Two triangles are similar if their corresponding sides are proportional. The measurements of corresponding angles differ between the two triangles. If two triangles are similar, both their corresponding sides and angles are always congruent.

24. In the figure below, If ΔABC is similar to ΔDEF, which of the following must be true?

25. Of the four triangles below, compare which two are congruent.

A. I and II

B. II and IV

C. I and IV

D. I and III

26. If these two triangles are congruent, categorize which side in ΔWXY matches with side KL?

A. YX

B. WX

C. JK

D. WY

27. ΔRST has been reduced to ΔUVW. Determine the scale factor.

A. 0.4

B. 0.6

C. 2.5

D. 2.6

28. Consider these two statements: 1. All circles are similar 2. All squares are similar Which statement(s) is true? A. Statement 1 only C. Both statements 1 and 2 B. Statement 2 only D. Neither statement is true 29. ΔJKL is similar with ΔXWY, specify the angle that matches ∠X? A. ∠J

B. ∠K

C. ∠L

D. ∠Y

30. Determine which similar triangle test can be used to prove that ΔRST is similar to ΔNLM?

A. RHS

B. AAS

C. SSS

D. SAS

31. Evaluate the unknown side of the figure below. Round off your answer to the nearest tenth. A. 10 cm B. 20 cm C. 29.2 cm D. 400 cm

32. Find the area of the smallest side of the right triangle. A. 5 ft

B. 13 ft

C. 25 ft

D. 313 ft

33. The length of two sides of a right triangle are leg: 12 m and hypotenuse: 15 m. Identify the length of the ……third side. A. 1 m

B. 6 m

C. 9 m

D. 17 m

34. Identify the length of the hypotenuse. Round off your answer to the nearest hundredth. A. 11.00

B. 9.95

C. 8. 06

D. 3.32

35. The length of two sides of a right triangle are leg: 9m and hypotenuse: 16 m. Assess the length of the ……third side. Round off to the nearest tenth if necessary. A. 13.2 m

B. 14.4 m

C. 28.8m

D. 104 m

36. Matt is the catcher for his school’s baseball team. The catcher must be able to throw from home plate to ……second base. Determine the distance from home plate to second base? A. 90 ft B. 90 √2 ft C. 180 D. 180 √2 ft

37. A large pine tree was struck by lightning and fell as shown by the diagram below. Conclude which ……equation could be used to find the length of the fallen part of the tree?

38. The bottom of a ladder must be placed 4 feet from a wall. The ladder is 12 feet long. Analyze how far ……above the ground does the ladder touch the wall. Round off your number to the nearest tenth. A. 10.6 ft B. 11.3 ft C. 11.9 ft D. 128 ft 39. A 12-foot ladder is leaning against the side of a building. The top of the ladder reaches 10 ft. up the ……side of the building. Approximately how far is the bottom of the ladder from the base of the building?

A. 1.4 ft

B. 2 ft

C. 6.6 ft

D. 7.6 ft

40. A flower garden is in the shape of a right triangle. One leg of the triangle is 6 ft long and the hypotenuse …….is 12 ft long. What is the length of the other leg? A. 10.4 ft

B. 12.8 ft

C. 13 ft

D. 14.6 ft