8th STAAR 8d (triangles and transversals)

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 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 90, because the labeled angles in each diagram are complementary and the sum of the measures of complementary angles is 90 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.7.G.B.5

Four triangles are shown. One side of each triangle lies on a ray, and the triangles are not drawn 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 = 80, because 180 - 130 = 50 and 50 + 30 = 80

• 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 diagram, which statement is true?

• 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 greater than 90, because the two angles shown in each diagram are obtuse angles.

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

Tags

CCSS.8.G.A.5

Four triangles are shown.

Based on these triangles, which statement is true?

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

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

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

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

Tags

CCSS.8.G.A.5

In each diagram, line p is parallel to line f, and line t intersects lines p and f.

Based on these diagrams, which statement is true?

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

• The value of x should be 105, because the measures of the angles in the diagrams add up to 180.

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

• The value of x should be 70, because the measures of the angles shown in the diagrams are both 70.

Tags

CCSS.7.G.B.5