Proving Properties of Parallel Lines Cut by a Transversal

A line that intersects two or more coplanar lines at two or more distinct points.

• A. Angles

• B. Corresponding Line

• C. Transversal Line

• D. Vertical Line

Which of the following real-world examples do not represent a pair of parallel lines?

• A. Angles

• B. Railings

• C. Hands of a clock

• D. Pedestrian lanes

Which of the following pairs of angles are consecutive interior angles?

• A. ∠d and ∠f

• B. ∠𝑔 and ∠𝑓

• C. ∠𝑓 and ∠e

• D. ∠𝑎 and ∠𝑐

Which of the following statement is true?

• A. ∠𝑏≅∠c

• B. ∠a + ∠c = 180°

• C. ∠g +∠f = 180°

• D. ∠𝑓≅∠e

If ∠a = 105°, what must be the value of ∠e?

• A. 180°

• B. 105°

• C. 90°

• D. 75°

What angle is congruent to ∠𝑓?

• A. ∠𝑔

• B. ∠𝑒

• C. ∠𝑏

• D. ∠𝑐

Which is a pair of corresponding angles?

• A. ∠d and ∠f

• B. ∠𝑔 and ∠𝑓

• C. ∠𝑓 and ∠e

• D. ∠𝑎 and ∠𝑐

What theorem justify that ∠𝑓≅ ∠ℎ?

• A. Corresponding Angles Theorem

• B. Alternate Interior Angles Theorem

• C. Consecutive Interior Angles Theorem

• D. Interior Angles Theorem

Find the measure of ∠𝑔 if ∠𝑓 = 95°?

• A. 105°

• B. 95°

• C. 90°

• D. 85°

Find x, if ∠a = 3x° and ∠e = (x + 50)°.

• A. 50

• B. 35

• C. 25

• D. 15