Uploaded by Judith Cueva

Theorems on Parallelogram Activities

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NAME: ________________________________________________
GRADE & SECTION: ________________
ACTIVITY: THEOREMS and PROPERTIES ON RECTANGLE, RHOMBUS, SQUARE
I. DIRECTION: Indicate with a check mark (✓) in the table below the quadrilateral/s that has each property.
Property
1. Opposite sides are congruent.
2. Opposite angles are congruent.
3. Consecutive angles are supplementary.
4. Diagonals bisect each other.
5. Each diagonal divides the quadrilateral into two congruent triangles.
6. All angles are right angles.
7. Diagonals bisect each other.
8. Diagonals are congruent.
9. All sides are congruent.
10. Diagonals are perpendicular.
NAME: ________________________________________________
RE
RH
S
GRADE & SECTION: ________________
ACTIVITY: THEOREMS and PROPERTIES ON RECTANGLE, RHOMBUS, SQUARE
I. DIRECTION: Indicate with a check mark (✓) in the table below the quadrilateral/s that has each property.
Property
RE
RH
S
1. Opposite sides are congruent.
2. Opposite angles are congruent.
3. Consecutive angles are supplementary.
4. Diagonals bisect each other.
5. Each diagonal divides the quadrilateral into two congruent triangles.
6. All angles are right angles.
7. Diagonals bisect each other.
8. Diagonals are congruent.
9. All sides are congruent.
10. Diagonals are perpendicular.
NAME: ________________________________________________
GRADE & SECTION: ________________
ACTIVITY: THEOREMS and PROPERTIES ON RECTANGLE, RHOMBUS, SQUARE
I. DIRECTION: Indicate with a check mark (✓) in the table below the quadrilateral/s that has each property.
Property
1. Opposite sides are congruent.
2. Opposite angles are congruent.
3. Consecutive angles are supplementary.
4. Diagonals bisect each other.
5. Each diagonal divides the quadrilateral into two congruent triangles.
6. All angles are right angles.
7. Diagonals bisect each other.
8. Diagonals are congruent.
9. All sides are congruent.
10. Diagonals are perpendicular.
RE
RH
S
II. Complete the following statement.
a) Given: LOVE is a rhombus.
b) BEST is a rectangle
Given: If ̅̅̅̅
𝐵𝑆 ≅ ̅̅̅̅
𝑇𝐸 ,
̅̅̅̅
then, 𝐵𝑆 = 3𝑥 + 4 and ̅̅̅̅
𝑇𝐸 = 2𝑥 + 9
̅̅̅̅
̅̅̅̅
Find y, 𝐵𝑆 and 𝑇𝐸 . SHOW YOUR SOLUTION.
1. ̅̅̅̅
𝐿𝐸 ≅ _________
2. ∠𝐿𝐸𝑉 ≅ __________
3. If 𝑚∠𝑂𝐿𝐸 = 110°, then 𝑚∠𝑂𝑉𝐸 = _________
̅̅̅̅ = 15, then 𝑈𝑉
̅̅̅̅ = _________
4. If 𝐿𝑈
5. If 𝑚∠𝑂 = 35°, then 𝑚∠𝑉 = _________
II. Complete the following statement.
a) Given: LOVE is a rhombus.
b) BEST is a rectangle
̅̅̅̅ ≅ 𝑇𝐸
̅̅̅̅ ,
Given: If 𝐵𝑆
̅̅̅̅ = 3𝑥 + 4 and 𝑇𝐸
̅̅̅̅ = 2𝑥 + 9
then, 𝐵𝑆
̅̅̅̅
̅̅̅̅
Find y, 𝐵𝑆 and 𝑇𝐸 . SHOW YOUR SOLUTION.
1. ̅̅̅̅
𝐿𝐸 ≅ _________
2. ∠𝐿𝐸𝑉 ≅ __________
3. If 𝑚∠𝑂𝐿𝐸 = 110°, then 𝑚∠𝑂𝑉𝐸 = _________
̅̅̅̅ = _________
4. If ̅̅̅̅
𝐿𝑈 = 15, then 𝑈𝑉
5. If 𝑚∠𝑂 = 35°, then 𝑚∠𝑉 = _________
II. Complete the following statement.
a) Given: LOVE is a rhombus.
b) BEST is a rectangle
̅̅̅̅ ≅ 𝑇𝐸
̅̅̅̅ ,
Given: If 𝐵𝑆
̅̅̅̅
then, 𝐵𝑆 = 3𝑥 + 4 and ̅̅̅̅
𝑇𝐸 = 2𝑥 + 9
̅̅̅̅
̅̅̅̅
Find y, 𝐵𝑆 and 𝑇𝐸 . SHOW YOUR SOLUTION.
1. ̅̅̅̅
𝐿𝐸 ≅ _________
2. ∠𝐿𝐸𝑉 ≅ __________
3. If 𝑚∠𝑂𝐿𝐸 = 110°, then 𝑚∠𝑂𝑉𝐸 = _________
̅̅̅̅ = 15, then 𝑈𝑉
̅̅̅̅ = _________
4. If 𝐿𝑈
5. If 𝑚∠𝑂 = 35°, then 𝑚∠𝑉 = _________
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