Topic 3 Line and Angle Relationships - Standardized Test

Which lists the side lengths in order from shortest to longest?

• d, e, f

• d, f, e

• f, d, e

• f, e, d

A triangle has angle measures 23° and 35°. What is the measure of the third angle?

• 32°

• 90°

• 122°

• 180°

What is the value of x?

• 38

• 57

• 76

• 85

What is the measure of ∠ACD?

• 30°

• 63°

• 147°

• 150°

Which theorem states that the measure of the exterior angle of a triangle is equal to the sum of the measures of the two remote interior angles of the triangle?

• Triangle Sum Theorem

• Remote Interior Angle Theorem

• Exterior Angle Theorem

• Exterior Inequality Theorem

In the figure shown, l₁ ∥ l₂. What is m∠1?

• 56°

• 68°

• 112°

• 124°

In the figure shown, ℓ₁ ∥ ℓ₂. The sum of the measures of angles 4 and 5 is 150°. What is the measure of angle 1?

• 30°

• 75°

• 105°

• 115°

In the figure shown, ℓ₁ and ℓ₂ are not parallel. Which angles are supplements of ∠1?

• Angles 6, 3, and 8

• Angles 2 and 5

• Angles 4 and 8

• Angles 5 and 7

In the figure shown, ℓ₁ ∥ ℓ₂ and ℓ₃ ⟂ ℓ₄. What is the value of x?

• 147

• 123

• 57

• 33

Which is not a correct conclusion about the figure?

• ΔPQR ~ ΔPST by the AA Similarity Theorem.

• PQ/QS = PR/RT = PR/ST

• ∠PQR ≅ ∠PST

• PS/PQ = PT/PR = ST/QR