Angle Relationships and Transversals Check Point

In each diagram, line g is parallel to line k, and line t intersects lines g and k. Based on the diagrams, which statement about x is true?

• The value of x is 90, because the labeled angles in each diagram are complementary and the sum of complementary angles is 90 degrees.

• The value of x is 180, because the labeled angles in each diagram are supplementary and the sum of the measures of supplementary angles is 180 degrees.

• The value of x is 44, because the sum of the measures of the labeled angles in each diagram is 180 degrees.

• The value of x is 136, because the labeled angles in each diagram are congruent.

Tags

CCSS.8.G.A.5

Four triangles are shown. One side of each triangle lies on a ray. The triangles are not to scale. Based on the triangles, which statement about x is true?

• X = 160, because 180 − (130 + 30) = 20 and 180 − 20 = 160

• X = 20, because 130 + 30 = 160 and 180 − 160 = 20

• X = 130, because 180 − (110 + 20) = 50 and 180 − 50 = 130

• X = 340, because 130 + 30 = 160 and 160 + 180 = 340

Tags

CCSS.8.G.A.5

In each diagram, line k is parallel to line l, and line t intersects lines k and l. Based on the diagrams, which statement is true?

• The value of x is 11, because the two angles shown in each diagram are complementary.

• The value of x is 79, because the two angles shown in each diagram are congruent.

• The value of x is 101, because the two angles shown in each diagram are supplementary.

• The value of x is 81, because the two angles shown in each diagram are congruent.

Tags

CCSS.8.G.A.5

Four triangles are shown. Based on the triangles, which statement is true?

• w = 95 degrees, because 180 - (40 + 55) = 85 and 180 - 85 = 95

• w = 105 degrees, because 180 - (45 + 60) = 75 and 180 - 75 = 105

• w = 285 degrees, because 45 + 60 = 105 and 105 + 180 = 285

• w = 165 degrees, because 180 - 60 = 120 and 120 + 45 = 165

Tags

CCSS.8.G.A.5

In the diagram, line p is parallel to line f, and line t intersects lines p and f. Based on the diagrams, which statement is true?

• The value of x should be 75, because the angles shown in each diagram are congruent.

• The value of x is 105, because the measures of the angles shown in the diagrams add up to 180 degrees.

• The value of x should be 140, because the measures of the angles shown in the diagrams should add up to 360 degrees and 360 - (110 + 110) = 140.

• The value of x should be 62, because the angles shown in each diagram are congruent.

Tags

TEKS.MATH.8.8D

In the diagram, line p is parallel to line f, and line t intersects lines p and f. What is the value of x? (No need for the degree symbol)

Tags

CCSS.8.G.A.5

In the diagram, line k is parallel to line l, and line t intersects lines k $ and l. What is the value of x? (No degree symbol needed)

Tags

CCSS.8.G.A.5

What is the measurement of angle x? (No Degree symbol needed)

Tags

CCSS.8.G.A.5

In a right triangle, the lengths of the two legs are 6 and 8. What is the length of the hypotenuse?

• 10

• 16

• 12

• 14

Tags

CCSS.8.G.B.7

Triangle DEF is a right triangle with DE as the hypotenuse. If DE = 13 and EF = 5, what is the length of DF?

• 12

• 10

• 15

• 8

Tags

TEKS.MATH.8.7C