Q4-M3: Theorems on Angles Formed by Parallel Lines and Transversals

Quiz by JOCELYN O. HULIP

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10 questions
• Q1

Which statement BEST describes alternate interior angles?

They are congruent.

They form a linear pair

They are supplementary

They are complementary.

30s
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• Q2

From the figure, which pair of angles are same side exterior?

∠2 and ∠5

∠7 and ∠6

∠1 and ∠5

∠1 and ∠4

30s
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• Q3

From the figure, 𝑚 ∥ 𝑝 and 𝑙𝑖𝑛𝑒 𝑞 is a transversal. Which mathematical statement is NOT true?

∠2 ≅ ∠3

∠3 ≅ ∠7

∠4 ≅ ∠8

∠1 ≅ ∠5

30s
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• Q4

from the figure, 𝑚 ∥ 𝑝 and 𝑙𝑖𝑛𝑒 𝑞 is a transversal.

If 𝑚∠5 = 75, what is the 𝑚∠7?

$15\degree$

$105\degree$

$75\degree$

$125\degree$

30s
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• Q5

Refer on ∆𝐵𝑍𝑇 with 𝐸𝑌 ∥ 𝑍𝑇.

What congruency statement can be formed based on the figure?

∠𝐵𝐸𝑌 ≅ ∠𝐸𝑍T

∠𝐵𝑍𝑇 ≅ ∠𝑇𝐵Z

∠𝐵𝑌𝐸 ≅ ∠𝑍𝐵T

∠𝐵𝐸𝑌 ≅ 𝑍𝐸Y

30s
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• Q6

∆𝐵𝑍𝑇 with 𝐸𝑌 ∥ 𝑍𝑇. If 𝑚∠𝐵𝑌𝐸 = 3𝑥 + 13 and 𝑚∠𝑌𝑇𝑍 = 6𝑥 − 14, what is the 𝑚∠𝐵𝑌𝐸?

40°

50°

45°

55°

30s
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• Q7

Which of the following statement/s is/are ALWAYS true when parallel lines are cut by a transversal?

i. Alternate exterior angles are congruent.

ii. Same side interior angles of a transversal form a linear pair.

iii. Corresponding angles have equal measurement.

all are correct

i only

i and iii

i and ii

30s
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• Q8

From the figure, which of the following pair of angles are alternate exterior?

∠1 and ∠7

∠1 and ∠6

∠1 and ∠5

∠1 and ∠8

30s
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• Q9

From the figure, the following statements are true EXCEPT

∠1 ≅ ∠7

∠2 ≅ ∠6

∠2 and ∠8 are supplementary

∠4 and ∠6 are supplementary.

30s
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• Q10

Given the figure, if 𝐷𝑀⃗∥ 𝑃𝐴⃗what theorem or postulate will help you to solve for the angles ∠𝐷 and ∠𝑃?

Alternate Exterior Angles Theorem

Vertical Angles Theorem

Same Side Interior Angles Theorem

Corresponding Angles Postulate

30s
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