Grade 9 Math Third Quarter Examination

San Jose National High School T H I R D

 Tagburos Extension

–

Q u a r t e r

T e s t

Mathematics 9 SCORE

 Name Section Date

Multiple Choice. Read and answer ALL the following questions. Choose the correct answer by shading the letter of your choice on the answer sheet provided. If the correct answer is not in the given choices, choose E .

1.

Which of the following quadrilaterals has diagonals that do not bisect each other? A B C D

2.

Which of the following statements is true? A B C D

3.

They are always congruent They are supplementary They are complementary They are both right angles

Which of the following conditions is NOT sufficient to prove that a quadrilateral is a parallelogram? A B C D

7.

They are always congruent They are supplementary They are complementary They are both right angles

Which of the following is true about any two consecutive angles in a parallelogram? A B C D

6.

A trapezoid can have four equal sides. A trapezoid can have three right angles. The base angles of an isosceles trapezoid are congruent. The diagonals of an isosceles trapezoid bisect each other.

How do you describe any two opposite angles in a parallelogram? A B C D

5.

Every square is a rectangle. Every rectangle is a square Every rhombus is a rectangle Every parallelogram is a rhombus

Which of the following statements is true? A B C D

4.

Square Rhombus Rectangle Trapezoid

Two pairs of sides are parallel. Two pairs of opposite sides are congruent. Two angles are supplementary Two diagonals bisect each other

Which of the following statements could be F ALSE? A B C D

The diagonals of a rectangle are co ngruent the diagonals of an isosceles trapezoid are congruent. The diagonals of a square are perpendicular and bisect eac h other. The diagonals of a rhombus are congruent and perpendicular to e ach other.

8.

What is the measure of ∠2 in rhombus HOME?

A B C D

9.

Two consecutive angles of a parallelogram have measures (x + 30)º and 2(x  – 30)º. What is the measure of the smaller angle? A B C D

10.

square rectangle trapezoid rhombus

The figure below is a parallelogram. If AD = 2x -10 and BC = x +30, then BC = ______.

A B C D

13.

complementary supplementary adjacent congruent

A quadrilateral with exactly one pair of parallel sides is c alled __________. __________. A B C D

12.

30º 80º 100º 140º

Consecutive angles of a parallelogram are ____________. A B C D

11.

75º 90º 105º 180º

50 60 70 80

The figure below is a rhombus. If m ∠ = 4xº and ∠ = (2x + 60)º, what is m ∠?

A B C D

100º 110º 120º 130º

14.

Quadrilateral BEST is a parallelogram. If m ∠ = (x + 40)º and m ∠E = (2x + 20)º, what is the m ∠B?

A B C D

15.

The figure below is a parallelogram. The diagonals AC and BD intersect at E. If AE = 2x and EC = 12, What is the value of  x ?

A B C D

16.

1 2 3 4

All of the following are properties of a parallelogram EXCEPT: A B C D

20.

2m 4m 5m 8m

How many congruent triangles are formed when a diagonal of parallelogram is drawn? A B C D

19.

37 39 107 109

A cross section of a water trough is in the shape of a trapezoid with bases measuring 2 m and 6 m. What is the length of the median of the trapezoid? A B C D

18.

5 6 7 8

The diagonals of an isosceles trapezoid are represented by 4x – 47 and 2x + 31. What is the value of  x ? A B C D

17.

50º 60º 70º 80º

diagonals bisect each other opposite sides are congruent opposite angles are congruent opposite sides are not parallel

The diagonals of a rectangle have lengths 5x  – 11 and 2x + 25. Find the lengths of the diagonals. A B C D

12 24 49 60

21.

What are the measure of the sides of parallelogram SOFT in meters?

A B C D

22.

Find the length of the longer diagonal in parallelogram FAST.

A C

23.

24 35

B D

30 50

35º 55º

B D

45º 90º

6 cm 18 cm

B D

9 cm 36 cm

Which of the following statements is/are true about trapezoids? A B C D

27.

31 52

In rectangle KAYE, side YO = 18 cm. find the length of diagonal AE. A C

26.

B D

In rhombus RHOM, what is the measure of ∠ROH?

A C

25.

8 46

Find the value of y  in  in the figure below.

A C

24.

2m,1m 5m,6m 8 m , 13 m 13 m , 15 m

The diagonals are congruent. The median is parallel Both A and B Neither A nor B

Refer to rectangle FIND. If m ∠ 4 = 38, what is m ∠3?

A C

42 62

B D

52 72

28.

A C

29.

4.6 5

B D

4.8 7

8 ft 16 ft

B D

10 ft 18 ft

3:5 5:3

B D

3:8 8:3

5:9 9 : 14

B D

9:5 14 : 9

A model of a lighthouse has diameter 8 inches and height 18 inches. If the actual diameter of the lighthouse is 20 feet, find its ac tual height. A C

33.



Given the choice between playing softball and volleyball for their P. E., 18 of the 28 female students chose to play volleyball for their P. E. Find the r atio of volleyball to softball. A C

32.

6

There are 15 ponkan and 9 mangos in a fruit bowl during New Year celebration. What is the ratio of mangoes to ponkan? A C

31.

4

The scale drawing of a Sala is 8 inches wide by 12 inches long. If the actual Sala is 12 feet wide, what is the length of the Sala? A C

30.

5

Solve the equation  =  .

30 ft 45 ft

B D

35 ft 50 ft 3

Triangle LMN ~ triangle RST, LN = 21, MN = 28, and the scale factor of ∆RST to ∆LMN is . 4

Find segment ST.

34.

35.

A

15.75

B

21

C

28

D

37

1 3

A 24-foot flagpole cast a 20-foot 2 0-foot shadow. The building next to it cast an 85-ft shadow. Find the height of the building. 5

A

7  ft

C

96 ft

6

1 6

B

89 ft

D

102 ft

Which of the following pairs of triangles CANNOT be proved similar? A

.

B

.

C

.

D

.

36.

What similarity concept justifies the ∆ ~∆?

A B C D

37.

Find the value of  x  on  on the figure below.

A B C D

38.

1 1.5 2 2.5

Refer to the figure below. Find the value of  x .

A B C D

40.

5 6 6.5 7.5

In ∆ , DE || AC. If AD = 12, BD= 3, and CE = 10, find the measure of segment BE.

A B C D

39.

Right Triangle Proportionality Theorem Triangle Proportionality Theorem SSS Similarity Theorem SAS Similarity Theorem

4 5 6 8

Which theorem can be used to prove that these two triangles are similar?

A B C D

AA SAS SSA SSS