Grade 9 Exam 3rd Mnhs.docx

THIRD QUARTERLY ASSESSMENT FOR SY 2018-2019 MATHEMATICS GRADE 9 Test I: Multiple Choice Identify the choice that best completes the statement or answers the question. Write your answer on the space provided. ____

1. Solve for the values of the variables and the lengths of the sides of this kite. y–2 |

x+ 2

a. x = 9, y = 13; 7, 15 b. x =13, y = 9; 7, 15

|

||

||

c. x = 9, y = 13; 11, 20 d. x =13, y = 9; 11, 11

2x + 2

x + 11

____

2. What is the most precise name for quadrilateral ABCD with vertices A(–5, 2), B(–3, 6), C(6, 6), and D(4, 2)? a. Quadrilateral b. Rectangle c. Parallelogram d. rhombus

____

3. ABCD is a parallelogram. If A

B

D

____

then

a. 66

b. 124

c. 114

d. 132

C

4. ABCD is a parallelogram. If A

then

The diagram is not to scale.

B

a. 125

D

____

The diagram is not to scale.

b. 65

c. 75

d. 115

C

5. LMNO is a parallelogram. If NM = x + 15 and OL = 3x + 5 find the value of x and then find NM and OL. O

N

a. x = 7, NM = 20, OL = 22 c. x = 7, NM = 22, OL = 22 b. x = 5, NM = 20, OL = 20 d. x = 5, NM = 22, OL = 20 L

____

M

6. For the parallelogram, if 3

and

The diagram is not to scale.

4

a. 9 2

____

find b. 17

c. 173

d. 163

1

7. What are the values of the variables in the parallelogram. The diagram is not to scale. 29

102

a. b. y° z°

x°

c. d.

____

8. In the parallelogram, J

and

Find

The diagram is not to scale.

K

O

a. 119 M

____

b. 61

c. 129

d. 68

L

9. In parallelogram DEFG, DH = x + 3, HF = 3y, GH = 4x – 5, and HE = 2y + 3. Find the values of x and y. The diagram is not to scale. D

E

a. x = 6, y = 3

b. x = 2, y = 3

c. x = 3, y = 2

d. x = 3, y = 6

H

G

F

____ 10. Evaluate AM in the parallelogram if PN =9 and AO = 4. The diagram is not to scale. M

N

a. 8

A

P

b. 4

c. 9

d. 4.5

O

____ 11. Identify the values of x and y for which ABCD must be a parallelogram. The diagram is not to scale. A B 4x – 2 y + 14 4y – 7

a. x = 10, y = 38

b. x = 10, y = 21

c. x = 10, y = 7 d. x = 7, y = 10

x + 28

D

C

____ 12. Based on the information on the figure below, can you prove that the figure is a parallelogram? Explain. a. b. c. d.

Yes; opposite sides are congruent. Yes; opposite angles are congruent. No; you cannot prove that the quadrilateral is a parallelogram. Yes; two opposite sides are both parallel and congruent.

____ 13. Based on the information given, can you determine that the quadrilateral must be a parallelogram? Explain. Given: and X

Y

a. No; you cannot determine that the quadrilateral is a parallelogram. b. Yes; two opposite sides are both parallel and congruent. c. Yes; opposite sides are congruent. d. Yes; diagonals of a parallelogram bisect each other.

N

W

Z

____ 14. If and determine the values of x and y for which LMNO must be a parallelogram. The diagram is not to scale. O

N

L

M

____ 15. If not to scale.

What is

A

a. x = 4, y = 5

c.

b.

d. x = 11, y = 5

x = 4, y =

1 5

so that quadrilateral ABCD is a parallelogram. The diagram is

B

a. 41

D

1 5

x = 11, y =

C

b. 139

c. 82

d. 278

, evaluate the value of each variable.

|

|

____ 16. In the rhombus, The diagram is not to scale.

a. x = 15, y = 165, z = 10 b. x = 30, y = 75, z = 10

3 2

c. x = 15, y = 75, z = 5 d. x = 30, y = 165, z = 5

|

|

1

____ 17. DEFG is a rectangle. DF = 5x – 5 and EG = x + 11. Determine the value of x and the length of each diagonal. a. x = 4, DF = 13, EG = 13 c. x = 4, DF = 15, EG = 15 b. x = 4, DF = 15, EG = 18 d. x = 2, DF = 13, EG = 13 ____ 18. Compute the values of a and b. The diagram is not to scale. a°

a. b.

113°

36°

c. d.

b°

____ 19. Determine

in the kite. The diagram is not to scale.

|

3

1 2

B

a. 51, 51

b. 39, 39

c. 39, 51

d. 51, 39

||

||

D

39°

|

A

C

____ 20.

are base angles of isosceles trapezoid JKLM. If a. 151

b. 1

c. 29

and d. 75.5

____ 21. 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 ____ 22. 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

____ 23. Solve for the missing value in the proportion: A. x = 0.02 ____ 24. Using the figure A. 1/16

.

B. x = 4

C. x = 5

A

B

C

5

10

4

B. 1/8

____ 25. Generate the simplified ratio of 45:20 ; 35:10. A. 9:4 ; 7:2 B. 9:5 ; 7:2

D. 2715m

D. x = 49

determine the ratio of A to B.

C. 1/4 C. 9:4 ; 7:3 D. 9:5 ; 7:3

D. 1/2

Test II: Essay (5pts.) Make your answer as brief as you can. Write your answer on the box provided on the right. 1. Give the name that best describes the parallelogram and find the measures of the numbered angles. The diagram is not to scale. Explain |

Answer: _________________________________________________________ ________________________________________________________________ ________________________________________________________________ _____________________________________________________________.

4

|

|

3

1 2



|

2. Judging by appearance, classify the figure in as many ways as possible using rectangle, trapezoid, square, quadrilateral, parallelogram, rhombus. Explain. Answer: _________________________________________________________ ________________________________________________________________ ________________________________________________________________ _____________________________________________________________. 3. Is the quadrilateral a parallelogram? Explain. The diagram is not to scale. A

B 139°

41°

139°

C

Answer: _________________________________________________________ ________________________________________________________________ ________________________________________________________________ _____________________________________________________________.

D

4. Criticize the quadrilateral below, can this be a parallelogram? Explain.

| Answer: _________________________________________________________ ________________________________________________________________ ________________________________________________________________ _____________________________________________________________.

|| 5. Assess the quadrilateral below, can this be a parallelogram? Explain. Answer: _________________________________________________________ ________________________________________________________________ ________________________________________________________________ _____________________________________________________________.

)) ) ) ))

God Bless You!!!

Answer Section MULTIPLE CHOICE 1. ANS: C

REF: 6-1 Classifying Quadrilaterals TOP: 6-1 Example 3

2. ANS: C

REF: 6-1 Classifying Quadrilaterals TOP: 6-1 Example 2

3. ANS: C

REF: 6-2 Properties of Parallelograms

4. ANS: D

REF: 6-2 Properties of Parallelograms

5. ANS: B

REF: 6-2 Properties of Parallelograms

TOP: 6-2 Example 2

6. ANS: D

REF: 6-2 Properties of Parallelograms

TOP: 6-2 Example 2

7. ANS: D

REF: 6-2 Properties of Parallelograms

8. ANS: C

REF: 6-2 Properties of Parallelograms

9. ANS: C

REF: 6-2 Properties of Parallelograms

10. ANS: B

REF: 6-2 Properties of Parallelograms

11. ANS: C 3 Example 1

REF: 6-3 Proving That a Quadrilateral is a Parallelogram

TOP: 6-2 Example 1

TOP: 6-2 Example 3

TOP: 6-

12. ANS: B 3 Example 2

REF: 6-3 Proving That a Quadrilateral is a Parallelogram

TOP: 6-

13. ANS: C 3 Example 2

REF: 6-3 Proving That a Quadrilateral is a Parallelogram

TOP: 6-

14. ANS: D

REF: 6-3 Proving That a Quadrilateral is a Parallelogram

15. ANS: B

REF: 6-3 Proving That a Quadrilateral is a Parallelogram

16. ANS: C

REF: 6-4 Special Parallelograms

TOP: 6-4 Example 1

17. ANS: C

REF: 6-4 Special Parallelograms

TOP: 6-4 Example 2

18. ANS: A

REF: 6-5 Trapezoids and Kites

TOP: 6-5 Example 1

19. ANS: C

REF: 6-5 Trapezoids and Kites

TOP: 6-5 Example 3

20. ANS: A

REF: 6-5 Trapezoids and Kites

21. ANS: C 6 Example 2

REF: 6-6 Placing Figures in the Coordinate Plane

TOP: 6-

22. ANS: C 6 Example 2

REF: 6-6 Placing Figures in the Coordinate Plane

TOP: 6-

23. ANS: C

REF: 6-6 Placing Figures in the Coordinate Plane

24. ANS: D

REF: 6-6 Placing Figures in the Coordinate Plane

25. ANS: B

REF: 6-7 Proofs Using Coordinate Geometry

SHORT ANSWER 26. ANS: x = 7, y = 4; 20, 35 REF: 6-1 Classifying Quadrilaterals TOP: 6-1 Example 3

27. ANS: trapezoid REF: 6-1 Classifying Quadrilaterals

28. ANS: 7 REF: 6-1 Classifying Quadrilaterals

29. ANS: x = 3, y = 6; 5, 5, 7, 7 REF: 6-2 Properties of Parallelograms

TOP:

6-2 Example 3

30. ANS: OD; the diagonals of a parallelogram bisect each other. REF: 6-2 Properties of Parallelograms

31. ANS: Rhombus; the measure of all numbered angles equal 31. REF: 6-4 Special Parallelograms 32. ANS:

Each diagonal has length

.

REF: 6-6 Placing Figures in the Coordinate Plane

33. ANS: parallelogram, quadrilateral REF: 6-1 Classifying Quadrilaterals TOP: 6-1 Example 1 ESSAY 34. ANS: [5] Shows ABCD is a parallelogram (by any of several methods); then shows diagonals are perpendicular by computing slopes to be . Includes meaningful commentary on what is occurring. [3] [2] [1]

Shows ABCD is a parallelogram and shows diagonals are perpendicular, but presentation is not clear work complete and shows correct ideas, but contains errors work incomplete, but shows some understanding of what to do

REF: 6-4 Special Parallelograms OTHER 35. ANS: Yes. is supplementary to both and ABCD is a parallelogram.

and

since 41 + 139 = 180. So

REF: 6-3 Proving That a Quadrilateral is a Parallelogram

36. ANS: Yes; the quadrilateral could be a parallelogram. Tick marks are used to show congruent segments. Different tick marks do not mean different lengths. If the quadrilateral were a parallelogram, the two sides with different tick marks would be congruent. REF: 6-4 Special Parallelograms

37. ANS:

TOP: 6-4 Example 3

Yes; the quadrilateral could be a parallelogram. If the quadrilateral were a parallelogram, the four marked angles would all be congruent and the quadrilateral would be a rhombus. REF: 6-4 Special Parallelograms

TOP: 6-4 Example 3