Geometry Topic Review

Select all true statements if n || m.

• m∠2 = 60°

• m∠3 = 100°

• m∠2 + m∠4 = 80°

• m∠2 + m∠3 = 80°

• m∠2 = 20°

If m∠E + m∠F = 120°, which expression is equivalent to m∠G?

• (7x)°

• (7x + 4)°

• (8x)°

• (8x + 4)°

What is m∠1?

• 60°

• 70°

• 120°

• 130°

Select all the true statements.

• A. p ∥ q

• D. p ⊥ m

• B. q ⊥ n

• E. m ∥ p

• C. m ∥ n

Match the correct options to supply the missing reasons in the proof.

• Definition of linear pair

• WY ⊥ VX

• Supplementary congruent angles are right angles

• ∠WZX ≅ ∠WZV

• Definition of perpendicular lines

• m∠WZX + m∠WZV = 180°

• Given

• m∠WZX = m∠WZV = 90°

• The sum of the measures of a linear pair is 180°

• ∠WZX and ∠WZV are a linear pair

Select all the true statements.

• p || q because ∠2 ≅ ∠3.

• p || q because ∠5 ≅ ∠7.

• r || s because ∠2 ≅ ∠4.

• r || s because ∠5 ≅ ∠6.

• r || s because ∠5 ≅ ∠7.

If m∠1 = m∠2, which of the following statements is true?

• k || j

• n || m

• ℓ || k

• ℓ || m

Which statement must be true to prove j || k?

• ∠2 ≅ ∠3

• ∠1 ≅ ∠4

• m∠2 + m∠5 = 180

• ∠6 ≅ ∠4

If ∠1 ≅ ∠2, can you conclude that any of the lines are parallel? Explain.

• Yes; lines n and p are parallel because corresponding angles are congruent.

• No; ∠1 and ∠2 show no relationship.

• Yes; lines ℓ and m are parallel because corresponding angles are congruent.

• No; neither angle is formed by the transversal, line q.

If m∠3 + m∠4 = 180, which lines can you conclude are parallel? Explain.

• Lines n and p are parallel because alternate interior angles are congruent.

• Lines n and p are parallel because same-side interior angles are supplementary.

• Lines ℓ and m are parallel because same-side interior angles are supplementary.

• Lines ℓ and m are parallel because alternate interior angles are congruent.