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

Quiz by JOCELYN O. HULIP

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10 questions
Show answers
  • Q1

    Which statement BEST describes alternate interior angles?

    They are congruent.

    They form a linear pair

    They are supplementary

    They are complementary.

    30s
  • Q2

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

    Question Image

    ∠2 and ∠5

    ∠7 and ∠6

    ∠1 and ∠5

    ∠1 and ∠4

    30s
  • Q3

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

    Question Image

    ∠2 ≅ ∠3

    ∠3 ≅ ∠7

    ∠4 ≅ ∠8

    ∠1 ≅ ∠5

    30s
  • Q4

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

    If 𝑚∠5 = 75, what is the 𝑚∠7?

    Question Image

    15\degree

    105\degree

    75\degree

    125\degree

    30s
  • Q5

    Refer on ∆𝐵𝑍𝑇 with 𝐸𝑌 ∥ 𝑍𝑇.

    What congruency statement can be formed based on the figure? 

    Question Image

    ∠𝐵𝐸𝑌 ≅ ∠𝐸𝑍T

    ∠𝐵𝑍𝑇 ≅ ∠𝑇𝐵Z

    ∠𝐵𝑌𝐸 ≅ ∠𝑍𝐵T

    ∠𝐵𝐸𝑌 ≅ 𝑍𝐸Y

    30s
  • Q6

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

    Question Image

    40°

    50°

    45°

    55°

    30s
  • 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
  • Q8

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

    Question Image

    ∠1 and ∠7

    ∠1 and ∠6

    ∠1 and ∠5

    ∠1 and ∠8

    30s
  • Q9

    From the figure, the following statements are true EXCEPT

    Question Image

    ∠1 ≅ ∠7

    ∠2 ≅ ∠6

    ∠2 and ∠8 are supplementary

    ∠4 and ∠6 are supplementary.

    30s
  • Q10

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

    Question Image

    Alternate Exterior Angles Theorem

    Vertical Angles Theorem

    Same Side Interior Angles Theorem

    Corresponding Angles Postulate

    30s

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