Unit 1 Review Transformations, Angles, Similarity and Congruence

Front

What does the symbol '≅' represent in geometry?

Back

The symbol '≅' represents that two figures are congruent, meaning they have the same shape and size.

Front

What is the definition of similar triangles?

Back

Similar triangles are triangles that have the same shape but may differ in size; their corresponding angles are equal, and their corresponding sides are in proportion.

Front

What is the congruence statement for two congruent triangles?

Back

A congruence statement lists the corresponding vertices of two congruent triangles in order, indicating which sides and angles are congruent.

Front

How do you determine if two triangles are congruent?

Back

Two triangles can be determined to be congruent using criteria such as SSS (Side-Side-Side), SAS (Side-Angle-Side), ASA (Angle-Side-Angle), AAS (Angle-Angle-Side), or HL (Hypotenuse-Leg for right triangles).

Front

What is the relationship between corresponding sides of similar triangles?

Back

The corresponding sides of similar triangles are proportional, meaning the ratios of the lengths of corresponding sides are equal.

Front

What is a rotation in geometry?

Back

A rotation is a transformation that turns a figure around a fixed point, called the center of rotation, by a specified angle in a specified direction.

Front

What is the angle of rotation for a 180-degree rotation?

Back

A 180-degree rotation turns a figure halfway around the center of rotation, resulting in a figure that is upside down.

Front

What does it mean for two angles to be congruent?

Back

Two angles are congruent if they have the same measure, regardless of their position.

Front

What is the significance of the triangle congruence postulates?

Back

Triangle congruence postulates provide criteria to determine if two triangles are congruent based on their sides and angles.

Front

How can you find a missing side length in similar triangles?

Back

To find a missing side length in similar triangles, set up a proportion using the lengths of the corresponding sides and solve for the unknown.