STUDY GUIDE-Congruent Triangles/TransformationsTrig

Front

What is a congruent triangle?

Back

A triangle that has the same size and shape as another triangle. This means that all corresponding sides and angles are equal.

Front

What is the SSS (Side-Side-Side) Congruence Postulate?

Back

If three sides of one triangle are equal to three sides of another triangle, then the two triangles are congruent.

Front

What is the SAS (Side-Angle-Side) Congruence Postulate?

Back

If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the triangles are congruent.

Front

What is the ASA (Angle-Side-Angle) Congruence Postulate?

Back

If two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the triangles are congruent.

Front

What is the AAS (Angle-Angle-Side) Congruence Theorem?

Back

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 congruent.

Front

What is the HL (Hypotenuse-Leg) Congruence Theorem?

Back

In right triangles, if the hypotenuse and one leg of one triangle are equal to the hypotenuse and one leg of another triangle, then the triangles are congruent.

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape to create a new shape. Common transformations include translations, rotations, reflections, and dilations.

Front

What is a dilation in geometry?

Back

A dilation is a transformation that changes the size of a figure but not its shape. It is defined by a center point and a scale factor.

Front

How do you find the image of a point under dilation?

Back

To find the image of a point (x,y) under dilation with center at the origin and scale factor k, multiply the coordinates by k: (kx, ky).

Front

What is the reflexive property in geometry?

Back

The reflexive property states that any geometric figure is congruent to itself. For example, segment AB is congruent to segment AB.