7.G.2

Front

What is the Triangle Inequality Theorem?

Back

The Triangle Inequality Theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Front

Can a triangle have sides measuring 5 mm, 1 mm, and 10 mm?

Back

No, because 5 mm + 1 mm is not greater than 10 mm.

Front

If two sides of a triangle are 3 meters and 7 meters, what must the third side be greater than?

Back

The third side must be greater than 10 meters.

Front

What are the possible lengths for the third side of a triangle with sides measuring 7 in and 10 in?

Back

The possible lengths for the third side are between 3 in and 17 in, specifically 18 in and 19 in.

Front

Solve for x: 2x + 3 = 1.

Back

x = -1.

Front

What is the sum of the angles in a triangle?

Back

The sum of the angles in a triangle is always 180°.

Front

If one angle of a triangle is 50°, what is the maximum possible measure of the other two angles?

Back

The maximum possible measure of the other two angles combined is 130°.

Front

What is an acute triangle?

Back

An acute triangle is a triangle where all three angles are less than 90°.

Front

What is a right triangle?

Back

A right triangle is a triangle that has one angle measuring exactly 90°.

Front

What is an obtuse triangle?

Back

An obtuse triangle is a triangle where one angle is greater than 90°.