CCG Ch 4 Test Review

Front

What does AA~ stand for in triangle similarity?

Back

AA~ stands for Angle-Angle similarity, which states that if two angles of one triangle are equal to two angles of another triangle, the triangles are similar.

Front

What does SSS~ stand for in triangle similarity?

Back

SSS~ stands for Side-Side-Side similarity, which states that if the corresponding sides of two triangles are in proportion, the triangles are similar.

Front

What does SAS~ stand for in triangle similarity?

Back

SAS~ stands for Side-Angle-Side similarity, which states that if two sides of one triangle are in proportion to two sides of another triangle and the included angles are equal, the triangles are similar.

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): a² + b² = c².

Front

What type of triangle does the Pythagorean Theorem apply to?

Back

The Pythagorean Theorem ONLY applies to right triangles.

Front

How do you determine if triangles are not similar?

Back

Triangles are not similar if none of the similarity criteria (AA~, SSS~, SAS~) are met.

Front

What is the formula to find the missing angle in a triangle?

Back

The sum of the angles in a triangle is always 180 degrees. To find a missing angle, subtract the sum of the known angles from 180 degrees.

Front

If two angles of a triangle are 68° and 90°, what is the third angle?

Back

The third angle is 22° (180° - 68° - 90° = 22°).

Front

What is the relationship between the sides of a right triangle?

Back

In a right triangle, the lengths of the sides must satisfy the Pythagorean Theorem: a² + b² = c².

Front

What is the significance of the included angle in SAS~?

Back

In SAS~, the included angle must be equal for the triangles to be considered similar.