Geometry Flashcard on Angles and Transversals

Front

Determine whether each statement is TRUE or FALSE. Line m is a transversal for lines r and s.

Back

True

Answer explanation

The statement is TRUE because a transversal is a line that intersects two or more lines at distinct points. If line m intersects lines r and s, it qualifies as a transversal.

Front

Determine whether ∠4 and ∠9 are alternate interior angles.

Back

False

Tags

G.9-12.6.A

Front

Determine whether ∠14 and ∠6 are alternate exterior angles.

Back

False

Answer explanation

The statement is FALSE because alternate exterior angles are formed by two parallel lines and a transversal. If ∠14 and ∠6 are not positioned as such, they cannot be classified as alternate exterior angles.

Front

Are ∠2 and ∠16 corresponding angles?

Back

True

Answer explanation

The statement is TRUE because corresponding angles are formed when a transversal crosses two parallel lines. If ∠2 and ∠16 are in such a configuration, they are indeed corresponding angles.

Front

Determine whether ∠7 and ∠10 are alternate interior angles.

Back

True

Answer explanation

The statement is TRUE because alternate interior angles are formed when a transversal crosses two parallel lines. If ∠7 and ∠10 are positioned this way, they are indeed alternate interior angles.

Front

Determine whether ∠13 and ∠11 are formed by lines l and m and transversal r.

Back

False

Answer explanation

The statement is FALSE because ∠13 and ∠11 are not necessarily formed by lines l and m with transversal r. They could be angles formed by different lines or configurations.

Front

If m∠1 = 48°, find m∠3.

Back

48°

Answer explanation

Since m∠1 = 48° and m∠3 is equal to m∠1, we find that m∠3 also measures 48°. Therefore, the correct answer is 48°.

Front

If m∠7 = 125°, find m∠4.

Back

55°

Answer explanation

Since m∠7 and m∠4 are supplementary angles, we have m∠4 + m∠7 = 180°. Substituting m∠7 = 125°, we get m∠4 + 125° = 180°. Thus, m∠4 = 180° - 125° = 55°. Therefore, the correct answer is 55°.

Front

If l ⊥ t, find m∠3.

Back

90°

Answer explanation

Since l ⊥ t, angle 3 is formed by the intersection of these two lines, which means it is a right angle. Therefore, m∠3 = 90°.

Front

If m∠1 + m∠3 = 230°, find m∠6.

Back

65°

Answer explanation

Since m∠1 + m∠3 = 230°, and angles 1, 2, 3, and 4 are supplementary, m∠2 + m∠4 = 180°. If m∠2 = 115°, then m∠6 = 180° - m∠2 = 65°. Thus, m∠6 = 65° is the correct answer.