Math Quiz grade 8

The Triangle Inequality Theorem states that the sum of the lengths of any two sides of a triangle must be__.

IDENTIFICATION. Which of the following best describes two or more lines that are always the same distance apart and never cross?

True or False. In an isosceles triangle theorem, If two sides of a triangle are congruent, then the angles opposite those sides are congruent.

What does the Same-Side Interior Angles Theorem state?

A construction worker is designing a triangular frame for a roof. The lengths of two sides are 5 meters and 8 meters. Which of the following could be the possible length of the third side?

Which of the following is not possible for the sides of a triangle?

Carla wants to build a triangular flower bed using three wooden planks measuring 3 meters, 5 meters, and 9 meters. Will she be able to form a triangle?

If two parallel lines are cut by a transversal, which of the following pairs are always supplementary?

True or False. If two parallel lines are cut by a transversal, then the same-side interior angles are always equal.

True or False. The sum of the two shorter sides of a triangle must always be greater than the longest side.

True or False. The exterior angle of a triangle is always smaller than one of the opposite interior angles.

True or False. If two triangles have two equal sides, the one with a larger included angle will have the longer third side.

IDENTIFICATION. These are lines that intersect at a 90-degree angle.

In a triangle, one of the exterior angles is 110°. Which of the following could be the two opposite interior angles?

If one vertical angle measures 65°, what is the measure of its opposite vertical angle?

A hiker is using three sticks to set up a triangular tent. The sticks measure 5 ft, 12 ft, and 13 ft. Will they form a triangle?

IDENTIFICATION. What do you call a line that passes through two lines in the same plane at two distinct points?

True or False. When opening a pair of scissors, the distance between the tips of the blades increases as the angle between the blades increases.

Two construction workers are setting up two ladders of equal length against two walls at different angles. One ladder is positioned at a steeper angle than the other. What can be said about the height each ladder reaches on the wall?

Problem Solving. Find the measure of ∠𝑆𝑀𝑅.

True or False. If one angle of a triangle is 120°, then the other two angles must be smaller than 120°.

The Exterior Angle Inequality Theorem states that an exterior angle of a triangle is always ________.