Transversal Regents Questions

In the accompanying diagram, line a intersects line b.

What is the value of x?

• -10

• 5

• 10

• 90

Answer explanation

These are vertical angles so x + 5 = 2x - 5, then solve

Tags

CCSS.7.G.B.5

In the accompanying diagram, line is parallel to line m, and line t is a transversal.

Which must be a true statement

• m<1 + <4 = 180

• m<1 + m<8 = 180

• m<3 + m<8 = 180

• m<2 + m<5 = 180

Answer explanation

When a transversal cuts parallel lines, any acute angle plus any obtuse angle = 180.

Tags

CCSS.8.G.A.5

In the accompanying diagram, line n is parallel to line m, line t is a transversal, and m<1 = 24.

• 24

• 66

• 114

• 156

Answer explanation

m<1 + x = 180, so 24 + x = 180

Tags

CCSS.8.G.A.5

In the accompanying figure, what is one pair of alternate interior angles?

• <1 and <2

• <4 and <5

• <4 and <6

• <6 and <8

Answer explanation

alternate interior - different sides of the transversal and inside the parallel lines.

Tags

CCSS.8.G.A.5

In the accompanying diagram, lines a and b are parallel, and lines c and d are transversals.

Which angle is congruent to angle 8?

• 6

• 5

• 3

• 4

Answer explanation

Alternate Interior Angles are congruent. Congruent means same size and shape.

Tags

CCSS.8.G.A.5

The accompanying diagram shows a football player crossing the 20-yard line at an angle of 30° and continuing along the same path.

What is the measure of angle B, where the player crosses into the end zone?

• 30°

• 60°

• 150°

• 180°

Answer explanation

The lines are parallel, so corresponding angles are congruent.

Tags

CCSS.7.G.B.5

The accompanying diagram shows two parallel roads, Hope Street and Grand Street, crossed by a transversal road, Broadway.

If m<1 = 110°, what is the measure of <7?

• 40°

• 70°

• 110°

• 180°

Answer explanation

Same Side Exterior angles are supplementary, so m<1 + m<7 = 180, so 110 + m<7 = 180, then solve.

Tags

CCSS.8.G.A.5

In the accompanying diagram, parallel lines and are intersected by transversal at points G and H. m<AGH = x + 15 , and m<GHD = 2x.

Which equation can be used to find the value of x?

• 2x = x + 15

• 2x + x + 15 =180

• 2x + x + 15 = 90

• 2x(x + 15) =180

Answer explanation

Alternate Interior Angles are Congruent (same size and shape).

Tags

CCSS.8.G.A.5

In the diagram below, Line AB is parallel to Line CD. Transversal EF intersects AB and CD at G and H, respectively. If m<AGH = 4x and m<GHD = 3x + 40, what is the value of x?

• 20

• 40

• 80

• 160

Answer explanation

This is a Linear Pair with extra stuff around it. 4x + 3x + 40 = 180, then solve.

Tags

CCSS.8.G.A.5

If ∠6 measures 106^◦, what is the m∠4?

• 106˚

• 74˚

• 90˚

• 180˚

Answer explanation

With transversals on parallel lines, an acute plus and obtuse = 180.

Tags

CCSS.8.G.A.5