GRADE 9 TEST QUESTIONS
COMPETENCY 1
Determines the conditions that make a quadrilateral a parallelogram, and uses properties
to find measures of angles, sides and other quantities involving parallelograms. (M9GEIIIa/b-2/1)
REMEMBERING
1. What can you say about two consecutive angles in a parallelogram?
a. They are always congruent.
b. They are always supplementary.
c. They are sometimes complementary.
d. They are never congruent.
2. How do you describe any two opposite angles in a parallelogram?
a. They are congruent.
b. They are supplementary.
c. They are complementary.
d. All of the above.
UNDERSTANDING
3. Which of the following quadrilaterals has diagonals that do not bisect each other?
a. Square
b. Rhombus
c. Rectangle
d. Trapezoid
4. What condition will make parallelogram WXYZ a rectangle?
a. (WX) ≅ (YZ)
c. ∠X is a right angle.
b. (WX) ∥ (YZ)
d. (XZ) and (WY) bisect each other.
5. Which of the following conditions is not sufficient to prove that a quadrilateral is a
parallelogram?
a. Two pairs of sides are parallel.
b. Two pairs of opposite sides are congruent.
c. Two angles are supplementary.
d. Two diagonals bisect each other.
APPLYING
13. Determine whether the figure at the right is a parallelogram. If so, state the reason.
a. Yes, it is a quadrilateral with 2 pairs of opposite sides that are congruent.
b. Yes, it is a quadrilateral with 2 pairs of opposite angles that are congruent.
c. Yes, it is a quadrilateral with diagonals that bisect each other.
d. It is not a parallelogram.
14. Given m∠HEF = 1000. What must be m∠FGH to prove that quadrilateral EFGH is a
parallelogram?
a. 200
b. 800
c. 900
d. 1000
COMPETENCY 2
Proves theorems on the different kinds of parallelogram (rectangle, rhombus, square).
(M9GE-IIIc-1)
APPLYING
For items 15 and 16, refer to ⊡ABCD.
15. What is the value of |𝐴𝐶| + |𝐴𝐷|, if |BD|= 28 cm and |𝐴𝐷| =21
cm
a. 29
b. 39
c. 49
d. 59
16. What is the value of |𝐵𝐷| − |𝐴𝐶|, if |𝐵𝐶| = 40 cm and |𝐶𝐷| = 30
cm?
a. 0
b. 10 cm
c. 20 cm
d. 30 cm
ANALYZING
17. Which of the following information serves as sufficient
condition for classifying quadrilateral LIFE as a rectangle?
̅̅̅̅ and 𝐼𝐸
̅̅̅ bisect each other.
a. 𝐿𝐹
̅̅̅
̅
b. 𝐿𝐹 and ̅̅̅
𝐼𝐸 bisect each other and ̅̅̅
𝐿𝐹̅ ⊥ ̅̅̅
𝐼𝐸
̅̅̅̅
̅̅̅
̅̅̅̅
c. 𝑳𝑭 and 𝑰𝑬 bisect each other and 𝑳𝑭 ≅ ̅̅̅
𝑰𝑬
̅̅̅̅ and 𝐼𝐸
̅̅̅ bisect each other, 𝐿𝐹
̅̅̅̅ ⊥ 𝐼𝐸
̅̅̅ , and 𝐿𝐹
̅̅̅̅ ≅ 𝐼𝐸
̅̅̅
d. 𝐿𝐹
18. What condition makes parallelogram PATH a rectangle?
a. ̅̅̅̅
𝑃𝐴 ≅ ̅̅̅̅
𝑇𝐻.
b. ∠ T is a right angle.
c. ̅̅̅̅
𝑃𝐴 ∥ ̅̅̅̅
𝑇𝐻 .
̅̅̅̅ and 𝑨𝑯
̅̅̅̅̅ bisect each other.
d. 𝑷𝑻
EVALUATING
37. Which of the following statements describes that a quadrilateral is a square?
a. One which is equiangular.
b. One whose diagonals are congruent.
c. One whose diagonals are perpendicular to each other.
d. One that has four right angles and four congruent sides
38. In a square, if it is folded through a diagonal, two congruent isosceles ______ triangles are
formed.
a. acute
b. right
c. oblique
d. obtuse
39. If one diagonal of a square measures 2(4k–2) cm and the other diagonal measures 3(k+7) cm,
then what is the value of k?
a. 3
b. 5
c. 7
d. 10
COMPETENCY 3
Proves the Midline Theorem, and theorem on trapezoids and kites. (M9GE-IIId-1-2)
APPLYING
For items 19 and 20, refer to triangle ABC, with D and E as midpoints.
19. If |BD| = 6 cm, then |DA| = _____.
a. 3 cm
b. 6 cm
c. 12 cm
d. 24 cm
20. If |BC| = 30 cm, then |EC| = _____.
a. 15 cm
b. 20 cm
c. 25 cm
d. 30 cm
ANALYZING
Given: ∆𝐴𝐶𝐸, with B and D as midpoints of ̅̅̅̅
𝐶𝐴 and ̅̅̅̅
𝐶𝐸 , respectively.
21. If |CD| = 19 cm, then |CE| = _____.
a. 19 cm
b. 28.5 cm c. 38 cm
d. 45 cm
22. If |BD| = 21 cm, then |BD| + |AE| = _____.
a. 21 cm
b. 42 cm
c. 63 cm
d. 84 cm
EVALUATING
40. Which of the following statements is TRUE?
a. A trapezoid has four congruent sides.
b. A trapezoid can have three right angles.
c. Base angles of an isosceles trapezoid are congruent.
d. The diagonals of an isosceles trapezoid bisect each other.
41. Which of the following statements about isosceles trapezoid is TRUE?
a. Opposite angles are complementary.
b. Opposite angles are congruent.
c. Diagonals are congruent.
d. All sides are congruent.
42. Which of the following statements describes a trapezoid?
a. A quadrilateral that has two parallel sides and two non-parallel congruent sides.
b. A quadrilateral that has one pair of parallel sides.
c. A quadrilateral that has no parallel sides.
d. It is any quadrilateral.
COMPETENCY 4
Solves problems involving parallelograms, trapezoids and kites. (M9GE-IIIe-1)
APPLYING
23. Given at the right is a parallelogram DEFG with indicated measures of
its angle. Find the value of x.
a. 20
b. 22
c. 24
d. 26
24. Using the same figure in number 23, what is m∠F?
a. 300
b. 600
c. 900
d. 1200
ANALYZING
25. In the figure at the right, ⊡ABCD is a parallelogram with |AB| = 4x – 5
̅̅̅̅.
cm, |BC| = 3x + 5 cm, and |AD| = 6x – 10 cm. Determine the length of 𝐶𝐷
a. 15 cm
b. 16 cm
c. 17 cm
d. 20 cm
26. Using the same figure in #4, if ⊡ABCD is a parallelogram, find its
perimeter.
a. 45 cm
b. 60 cm
c. 65 cm
d. 70 cm
EVALUATING
43. The figure at the right is a kite with |JK| = x and |KL| = 4x. If the
perimeter is equal to 160 m, find the value of x.
a. 8
b. 16
c. 18
d. 19
44. Using the same figure in number 43, what is m∠F?
a. 300
b. 600
c. 900
d. 1200
45. ⊡CDAB at the right is a rhombus with m∠ADB = 6x + 20 and m∠BDC
= 800. What is the value of x?
a. 9
b. 13
c. 23
d. 25