Ordering Sides and Angles in Triangles

Front

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

Back

In a triangle, the longer the side, the larger the angle opposite that side. This is known as the Side-Angle Relationship.

Tags

CCSS.HSG.CO.C.10

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

How do you determine the longest side of a triangle?

Back

To determine the longest side of a triangle, compare the lengths of all three sides. The side with the greatest length is the longest.

Tags

CCSS.2.G.A.1

Front

What is an acute triangle?

Back

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

Tags

CCSS.4.G.A.2

Front

What is a right triangle?

Back

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

Tags

CCSS.4.G.A.2

Front

What is an obtuse triangle?

Back

An obtuse triangle is a triangle that has one angle measuring more than 90 degrees.

Tags

CCSS.4.G.A.2

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.

Tags

CCSS.8.G.A.5

Front

If two angles of a triangle are known, how can you find the third angle?

Back

To find the third angle, subtract the sum of the known angles from 180 degrees.

Tags

CCSS.8.G.A.5

Front

What is the definition of congruent triangles?

Back

Congruent triangles are triangles that are identical in shape and size, meaning their corresponding sides and angles are equal.

Tags

CCSS.8.G.A.2

Front

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

Back

If two sides of a triangle are equal, the triangle is called isosceles, and the angles opposite those sides are also equal.

Tags

CCSS.4.G.A.2