Geometry Essentials Quiz

What is the sum of the interior angles of a triangle?

• 90 degrees

• 270 degrees

• 360 degrees

• 180 degrees

If two angles of a triangle are 30° and 60°, what is the measure of the third angle?

• 90°

• 45°

• 120°

• 180°

How can you prove that two lines are parallel using angle relationships?

• By showing that vertical angles are congruent

• By showing that corresponding angles are supplementary

• By showing that corresponding angles are congruent, alternate interior angles are congruent, or alternate exterior angles are congruent.

• By showing that alternate interior angles are supplementary

In triangle ABC, if angle A is congruent to angle C, and side AB is congruent to side BC, what can you conclude about triangle ABC?

• Isosceles triangle

• Right-angled triangle

• Equilateral triangle

• Scalene triangle

State the theorem that can be used to prove that two triangles are congruent if two angles and the included side of one triangle are congruent to the corresponding parts of another triangle.

• Angle-Side-Angle (ASA) theorem

• Hypotenuse-Leg (HL) theorem

• Angle-Angle-Side (AAS) theorem

• Side-Angle-Side (SAS) theorem

If angle 1 is congruent to angle 2, and angle 3 is congruent to angle 4, what can you conclude about the relationship between line l and line m?

• Concave

• Intersecting

• Parallel

• Perpendicular

In triangle XYZ, if angle X is 90° and angle Y is 45°, what is the measure of angle Z?

• 45°

• 30°

• 60°

• 120°

Explain the relationship between the angles formed when a transversal intersects two parallel lines.

• Vertical angles are congruent

• Corresponding angles are congruent, alternate interior angles are congruent, and alternate exterior angles are congruent.

• Adjacent angles are congruent

• Corresponding angles are supplementary

If triangle PQR is congruent to triangle STU, and side PQ is congruent to side ST, what can you conclude about the corresponding angles of the two triangles?

• The corresponding angles are complementary

• The corresponding angles are supplementary

• The corresponding angles are parallel

• Corresponding angles are congruent.

Using the properties of triangles, prove that the sum of the measures of the interior angles of a triangle is 180°.

• 90°

• 180°

• 270°

• 360°