Triangle Congruence

Front

What are the classifications of triangles based on their angles?

Back

Triangles can be classified as acute (all angles less than 90°), right (one angle equal to 90°), or obtuse (one angle greater than 90°).

Front

What are the classifications of triangles based on their sides?

Back

Triangles can be classified as equilateral (all sides equal), isosceles (two sides equal), or scalene (no sides equal).

Front

What does the acronym SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a criterion for triangle congruence where two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle.

Front

What is the AAA criterion in triangle congruence?

Back

AAA stands for Angle-Angle-Angle, which states that if two triangles have equal corresponding angles, they are similar but not necessarily congruent.

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.

Front

How can you determine if two triangles are congruent using the SSS criterion?

Back

The SSS criterion states that if all three sides of one triangle are equal to the three sides of another triangle, then the triangles are congruent.

Front

What is the significance of corresponding parts in triangle congruence?

Back

Corresponding parts refer to the sides and angles of triangles that match in position and measure, which is essential for proving triangle congruence.

Front

What is the difference between similar and congruent triangles?

Back

Similar triangles have the same shape but may differ in size (corresponding angles are equal, but sides are proportional), while congruent triangles are identical in both shape and size.

Front

What does it mean for a triangle to be isosceles?

Back

An isosceles triangle has at least two sides that are equal in length, and the angles opposite those sides are also equal.

Front

What is the definition of a scalene triangle?

Back

A scalene triangle is a triangle in which all three sides are of different lengths, and consequently, all three angles are also different.