Triangles and Transversals Practice Test (G5)

Alani continues line segment AB so that the exterior angle to A is formed. Which pair of statements about Alani's figure are true?

• The exterior angle will measure 130°. The interior base angle that is 60° is supplementary to the exterior angle.

• The exterior angle will measure 130°. The interior base angle that is 60° is complementary to the exterior angle.

• The exterior angle will measure 120°. The interior base angle that is 60° is supplementary to the exterior angle.

• The exterior angle will measure 120°. The interior base angle that is 60° is complementary to the exterior angle

Tags

CCSS.8.G.A.5

Lines m and n are parallel and t is a transversal. Which statement is true?

• m ∠ 1 = 90^o

• m ∠ 2 + m ∠ 3 = 180^o

• m ∠ 2 + m ∠ 7 = 180^o

• m ∠ 7 = m ∠ 3

Tags

CCSS.8.G.A.5

The triangle shown is a scalene triangle. Which statement is true?

• m ∠ 1 = m ∠ 3

• m ∠ 1 + m ∠ 2 = m ∠ 4

• m ∠ 5 = m ∠ 1 m ∠ 2

• m ∠ 5 = m ∠ 6

Tags

CCSS.7.G.B.5

In the figure, m ∠ 1 = 110^o. What is the m ∠ 3?

• 90^o

• 80^o

• 110^o

• 70^o

Tags

CCSS.8.G.A.5

Which of the following are true in regards to the figure shown.

• The alternate exterior angles are congruent

• Each interior angle forms a linear pair with its adjacent exterior angle.

• The base angles (1 and 3) of the triangle sum to 180 degrees .

• A convex polygon is represented by the drawing

• A complete rotation of the triangle is 180 degrees.

Tags

CCSS.HSG.CO.C.10

Which of the following are true in regards to the figure shown.

• ∠ f and ∠ c are congruent.

• The measures of ∠ f and ∠ g sum to 180^o.

• ∠ b and ∠ g are vertical angles.

• The measures of ∠ d and ∠ e have a sum of 180 degrees.

• ∠ b and ∠ c are congruent.

Tags

CCSS.7.G.B.5

In the diagram, line a is parallel to line b. Which of these represents the value of y?

• 10

• 8

• 5

• 3.5

Tags

CCSS.8.G.A.5

Look at the diagram. Which statement is TRUE?

• The sum of the measures of ∠ZCA ∠YBC and is 90°.

• The sum of the measures of ∠ZCA and ∠BCA is 90°.

• The sum of the measures of ∠ZCA and ∠BCA is 180°.

• The sum of the measures of ∠ZCA ∠YBC and is 180°.

Tags

CCSS.7.G.B.5

Which explanation correctly describes the sum of the exterior angles of a triangle?

• Each pair of corresponding interior and exterior angles forms a straight angle, so the sum of the exterior angles is 3 x (180^o - 180^o) = 0^o

• Each pair of corresponding interior and exterior angles forms a straight angle, so the sum of the exterior angles is (3 x 180^o ) - 180^o = 360^o

• Each pair of corresponding interior and exterior angles forms a straight angle, so the sum of the exterior angles is (3 x 180^o ) + 180^o = 720^o

• Each pair of corresponding interior and exterior angles forms a straight angle, so the sum of the exterior angles is 3 x (180^o + 180^o)= 1080^o

Which of these is a correct argument about the measures of alternate exterior angles when two parallel lines are cut by a transversal?

• Since alternate exterior angles are vertical to alternate interior angles, their measures must be equal.

• Since alternate exterior angles are not vertical to alternate interior angles, their measures must be equal..

• Since alternate exterior angles are not vertical to alternate interior angles, their measures must not be equal.

• The measures of alternate interior angles are not equal, so the measure of alternate exterior angles must not be equal.

Tags

CCSS.8.G.A.5