Parallel Lines and a Transversal | Lines and Angles | Assessment | English | Grade 9

In the given figure, ∠4 and ∠5 are

• Alternate interior angles

• Alternate exterior angles

• Corresponding angles

• Interior angles on same side of transversal

Answer explanation

∠4 and ∠5 are alternate interior angles.

Tags

CCSS.8.G.A.5

In the given figure, ∠3 and ∠8 are ______

• Alternate interior angles

• Alternate exterior angles

• Corresponding angles

• Interior angles on same side of transversal

Answer explanation

In the given figure, ∠3 and ∠8 are corresponding angles.

Tags

CCSS.8.G.A.5

If a transversal intersects two parallel lines, then each pair of corresponding angles is _______

• Equal to 90⁰

• Equal to 110⁰

• Equal

• Not equal

Answer explanation

If a transversal intersects two parallel lines, then each pair of corresponding angles is equal.

Tags

CCSS.8.G.A.5

In the given figure, if PQ || RS, UT is a transversal and ∠PAB = 60⁰, then ∠ABS is equal to _____

• 50⁰

• 90⁰

• 120⁰

• 60⁰

Answer explanation

We know that if a transversal intersects two parallel lines, then each pair of alternate interior angles is equal. Here ∠PAB and ∠ABS are alternate interior angles hence ∠ABS = 60⁰

Tags

CCSS.8.G.A.5

In the given figure, if AB || CD, EF is a transversal and ∠ARS = 70⁰, then ∠CSR is equal to ____

• 110⁰

• 60⁰

• 70⁰

• 40⁰

Answer explanation

We know that If a transversal intersects two parallel lines, then each pair of interior angles on the same side of transversal is supplementary. Here ∠CSR and ∠ARS are interior angles which are on the same side of transversal. Therefore, ∠ARS + ∠CSR = 180⁰ 70⁰ + ∠CSR = 180⁰ ∠CSR = 180⁰ - 70⁰ ∠CSR = 110⁰

Tags

CCSS.8.G.A.5

Which of the following statements is false?

• If a transversal intersects two parallel lines, then each pair of corresponding angles is equal.

• If a transversal intersects two parallel lines, then each pair of alternate interior angles is equal.

• If a transversal intersects two parallel lines, then each pair of interior angles on the same side of the transversal is complementary.

• If a transversal intersects two lines such that a pair of corresponding angles is equal, then the two lines are parallel to each other.

Answer explanation

If a transversal intersects two parallel lines then the Interior angles on the same side of transversal are supplementary and not complementary. Hence option 3 statement is false.

Tags

CCSS.8.G.A.5

In the given figure, if l ∥ m and the line n is a transversal, then the value of x is equal to _____

• 80⁰

• 50⁰

• 55⁰

• 100⁰

Answer explanation

We know that if a transversal intersects two parallel lines, then each pair of alternate interior angles is equal. Hence ∠A is 80⁰. Also, ∠A + 2x = 180⁰ (By Linear Pair axiom) 80⁰ + 2x = 180⁰ 2x = 180⁰ - 80⁰ 2x = 100⁰ i.e., x = 50⁰

Tags

CCSS.8.G.A.5