1. Angle Relationships and Triangles

Front

What does it mean for two sides of a triangle to be congruent?

Back

Two sides are congruent if they have equal lengths.

Front

Can the side lengths 4 in, 2 in, and 8 in form a triangle?

Back

No, these lengths cannot form a triangle because the sum of the two shorter sides (4 in + 2 in = 6 in) is less than the longest side (8 in).

Front

Can the side lengths 7 cm, 8 cm, and 9 cm form a triangle?

Back

Yes, these lengths can form a triangle because the sum of any two sides is greater than the third side.

Front

What is the relationship between the sides and angles of a triangle?

Back

The smallest angle is opposite the shortest side, and the largest angle is opposite the longest side.

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

If two angles of a triangle are equal, what can be said about the sides opposite those angles?

Back

The sides opposite the equal angles are also equal in length.

Front

What is an acute triangle?

Back

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

Front

What is a right triangle?

Back

A right triangle is a triangle that has one angle equal to 90 degrees.

Front

What is an obtuse triangle?

Back

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

Front

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

Back

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