Triangle similarity & Right Triangles/Trig

Front

What does it mean for two triangles to be similar?

Back

Two triangles are similar if their corresponding angles are equal and their corresponding sides are in proportion.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What is the AA criterion for triangle similarity?

Back

The AA criterion states that if two angles of one triangle are equal to two angles of another triangle, then the triangles are similar.

Tags

CCSS.HSG.SRT.A.2

Front

What is the SAS criterion for triangle similarity?

Back

The SAS criterion states that if two sides of one triangle are proportional to two sides of another triangle and the included angles are equal, then the triangles are similar.

Tags

CCSS.HSG.SRT.B.5

Front

What is the SSS criterion for triangle similarity?

Back

The SSS criterion states that if the corresponding sides of two triangles are in proportion, then the triangles are similar.

Tags

CCSS.HSG.SRT.B.5

Front

What is the AAS criterion for triangle similarity?

Back

The AAS criterion states that if two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle, then the triangles are similar.

Tags

CCSS.HSG.SRT.B.5

Front

What is the Pythagorean Theorem?

Back

The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b): c² = a² + b².

Tags

CCSS.8.G.B.8

Front

What type of triangle does the Pythagorean Theorem apply to?

Back

The Pythagorean Theorem only applies to right triangles.

Tags

CCSS.8.G.B.8

Front

If ∆EHG~∆KFC, what can be concluded about the sides?

Back

If ∆EHG is similar to ∆KFC, then the corresponding sides are proportional, such as EH~FC and HG~KF.

Tags

CCSS.HSG.SRT.A.2

Front

How do you find the measure of a missing angle in a triangle?

Back

To find the measure of a missing angle in a triangle, use the fact that the sum of the angles in a triangle is always 180 degrees.

Tags

CCSS.8.G.A.5

Front

What is the relationship between corresponding sides of similar triangles?

Back

The lengths of corresponding sides of similar triangles are proportional.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6