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Properties and Relationships of Parallel Lines and Transversals Quiz

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What is the sum of interior angles of a triangle?

180 degrees

Explanation

The sum of interior angles in a triangle is always 180 degrees.

What is the sum of the angles in a hexagon?

360 degrees

Explanation

The sum of angles in a hexagon is always 360 degrees.

If two lines are parallel and a transversal intersects them, what is the sum of the alternate interior angles?

180 degrees

Explanation

Alternate interior angles formed by a transversal on parallel lines add up to 180 degrees.

In a parallelogram, what is the relationship between opposite angles?

Supplementary

Explanation

Opposite angles in a parallelogram are supplementary.

If two lines are parallel and a transversal intersects them, what is the sum of the corresponding angles?

180 degrees

Explanation

Corresponding angles formed by a transversal on parallel lines add up to 180 degrees.

In a trapezoid, what is the sum of the base angles?

180 degrees

Explanation

The sum of the base angles in a trapezoid is always 180 degrees.

In a rhombus, what is the measure of each angle?

180 degrees

Explanation

Each angle in a rhombus measures 180 degrees.

In a rectangle, what is the relationship between opposite angles?

Equal

Explanation

Opposite angles in a rectangle are equal.

If a transversal intersects two parallel lines, what is the sum of the consecutive interior angles on the same side of the transversal?

180 degrees

Explanation

Consecutive interior angles on the same side of a transversal in parallel lines add up to 180 degrees.

#10

What is the slope of a line parallel to the y-axis?

Undefined

Explanation

The slope of a line parallel to the y-axis is undefined.

#11

If two parallel lines are cut by a transversal, and one pair of corresponding angles is 120 degrees, what is the measure of the other pair of corresponding angles?

90 degrees

Explanation

The other pair of corresponding angles is complementary and measures 90 degrees.

#12

In a parallelogram, what is the sum of adjacent angles?

180 degrees

Explanation

The sum of adjacent angles in a parallelogram is always 180 degrees.

#13

If two parallel lines are cut by a transversal, and one pair of alternate interior angles is 40 degrees, what is the measure of the other pair of alternate interior angles?

40 degrees

Explanation

The other pair of alternate interior angles is congruent and measures 40 degrees.

#14

If two parallel lines are cut by a transversal, and one pair of alternate exterior angles is 75 degrees, what is the measure of the other pair of alternate exterior angles?

105 degrees

Explanation

The other pair of alternate exterior angles is supplementary and measures 105 degrees.

Properties and Relationships of Parallel Lines and Transversals Quiz

What is the sum of interior angles of a triangle?

What is the sum of the angles in a hexagon?

If two lines are parallel and a transversal intersects them, what is the sum of the alternate interior angles?

In a parallelogram, what is the relationship between opposite angles?

If two lines are parallel and a transversal intersects them, what is the sum of the corresponding angles?

In a trapezoid, what is the sum of the base angles?

In a rhombus, what is the measure of each angle?

In a rectangle, what is the relationship between opposite angles?

If a transversal intersects two parallel lines, what is the sum of the consecutive interior angles on the same side of the transversal?

What is the slope of a line parallel to the y-axis?

If two parallel lines are cut by a transversal, and one pair of corresponding angles is 120 degrees, what is the measure of the other pair of corresponding angles?

In a parallelogram, what is the sum of adjacent angles?

If two parallel lines are cut by a transversal, and one pair of alternate interior angles is 40 degrees, what is the measure of the other pair of alternate interior angles?

If two parallel lines are cut by a transversal, and one pair of alternate exterior angles is 75 degrees, what is the measure of the other pair of alternate exterior angles?

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