Question

Learning Competency with code The learner solves problems involving parallelograms, trapezoids, and kites. (M9GE-Ille-1) General Directions: Read each item carefully and write your solution and answer on a separate sheet of paper. Practice A Write \( \mathbf{T} \) if the statement is True and \( \mathbf{F} \) if the statement is False. 1. A triangle is an example of a quadrilateral. 2. All quadrilaterals are parallelograms. 3. The shorter diagonal divides the kite into two isosceles triangles. 4. A quadrilateral is a parallelogram if both pairs of consecutive angles are complementary. 5. The angles on either side of the bases of an isosceles trapezoid are congruent. 6. A quadrilateral is a parallelogram if the diagonals bisect each other. 7. All quadrilaterals have congruent sides. 8. The non-parallel sides of an Isosceles Trapezoid are congruent. 9. A quadrilateral is a parallelogram if each diagonal divides a parallelogram into two congruent triangles. 10. The diagonals of a quadrilateral are congruent. Practice B Write the letter of the correct answer. For items 1-4: Given: Quadrilateral MARK is a parallelogram. If \( \mathrm{MA}=3 \mathrm{y}+3 \) and \( \mathrm{KR}=\mathrm{y}+13 \), how long is \( \overline{K R} \) ? 1. Which among the following is the correct figure representation for finding the length of \( \overline{K R} ? \) A. C. B. D. 2. Which of the following properties of a parallelogram applies best for finding the length of \( \overline{K R} \) ? A. A quadrilateral is a parallelogram if the diagonals bisect each other. B. A quadrilateral is a parallelogram if both pairs of opposite sides are congruent. C. A quadrilateral is a parallelogram if one pair of opposite sides are both congruent and parallel. D. A quadrilateral is a parallelogram if each diagonal divides a parallelogram into two congruent triangles. 30

          Learning Competency with code
The learner solves problems involving parallelograms, trapezoids, and kites. (M9GE-Ille-1)
General Directions: Read each item carefully and write your solution and answer on a separate sheet of paper.
Practice A
Write \( \mathbf{T} \) if the statement is True and \( \mathbf{F} \) if the statement is False.
1. A triangle is an example of a quadrilateral.
2. All quadrilaterals are parallelograms.
3. The shorter diagonal divides the kite into two isosceles triangles.
4. A quadrilateral is a parallelogram if both pairs of consecutive angles are complementary.
5. The angles on either side of the bases of an isosceles trapezoid are congruent.
6. A quadrilateral is a parallelogram if the diagonals bisect each other.
7. All quadrilaterals have congruent sides.
8. The non-parallel sides of an Isosceles Trapezoid are congruent.
9. A quadrilateral is a parallelogram if each diagonal divides a parallelogram into two congruent triangles.
10. The diagonals of a quadrilateral are congruent.
Practice B
Write the letter of the correct answer.
For items 1-4:
Given: Quadrilateral MARK is a parallelogram. If \( \mathrm{MA}=3 \mathrm{y}+3 \) and \( \mathrm{KR}=\mathrm{y}+13 \), how long is \( \overline{K R} \) ?
1. Which among the following is the correct figure representation for finding the length of \( \overline{K R} ? \)
A.
C.
B.
D.
2. Which of the following properties of a parallelogram applies best for finding the length of \( \overline{K R} \) ?
A. A quadrilateral is a parallelogram if the diagonals bisect each other.
B. A quadrilateral is a parallelogram if both pairs of opposite sides are congruent.
C. A quadrilateral is a parallelogram if one pair of opposite sides are both congruent and parallel.
D. A quadrilateral is a parallelogram if each diagonal divides a parallelogram into two congruent triangles.
30

Learning Competency with code
The learner solves problems involving parallelograms, trapezoids, and kites. (M9GE-Ille-1)
General Directions: Read each item carefully and write your solution and answer on a separate sheet of paper.
Practice A
Write 𝐓 if the statement is True and 𝐅 if the statement is False.
1. A triangle is an example of a quadrilateral.
2. All quadrilaterals are parallelograms.
3. The shorter diagonal divides the kite into two isosceles triangles.
4. A quadrilateral is a parallelogram if both pairs of consecutive angles are complementary.
5. The angles on either side of the bases of an isosceles trapezoid are congruent.
6. A quadrilateral is a parallelogram if the diagonals bisect each other.
7. All quadrilaterals have congruent sides.
8. The non-parallel sides of an Isosceles Trapezoid are congruent.
9. A quadrilateral is a parallelogram if each diagonal divides a parallelogram into two congruent triangles.
10. The diagonals of a quadrilateral are congruent.
Practice B
Write the letter of the correct answer.
For items 1-4:
Given: Quadrilateral MARK is a parallelogram. If MA=3 y+3 and KR=y+13, how long is K R ?
1. Which among the following is the correct figure representation for finding the length of K R ?
A.
C.
B.
D.
2. Which of the following properties of a parallelogram applies best for finding the length of K R ?
A. A quadrilateral is a parallelogram if the diagonals bisect each other.
B. A quadrilateral is a parallelogram if both pairs of opposite sides are congruent.
C. A quadrilateral is a parallelogram if one pair of opposite sides are both congruent and parallel.
D. A quadrilateral is a parallelogram if each diagonal divides a parallelogram into two congruent triangles.
30

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