Geometry 1st Semester Overview

Front

What is the AAS Triangle Congruence Theorem?

Back

The AAS (Angle-Angle-Side) Triangle Congruence Theorem states that if two angles and the non-included side of one triangle are congruent to two angles and the non-included side of another triangle, then the two triangles are congruent.

Front

What does it mean for two triangles to be congruent?

Back

Two triangles are congruent if they have the same size and shape, meaning their corresponding sides and angles are equal.

Front

What is a 90° counterclockwise rotation?

Back

A 90° counterclockwise rotation is a transformation that turns a point or shape 90 degrees to the left around a fixed point, usually the origin.

Front

How do you reflect a point across the x-axis?

Back

To reflect a point (x, y) across the x-axis, you change the sign of the y-coordinate, resulting in the point (x, -y).

Front

What is the midpoint formula?

Back

The midpoint formula is used to find the midpoint M of a segment with endpoints A(x1, y1) and B(x2, y2): M = ((x1 + x2)/2, (y1 + y2)/2).

Front

What are the coordinates of the point after a 180° rotation around the origin?

Back

The coordinates of a point (x, y) after a 180° rotation around the origin become (-x, -y).

Front

What is the definition of a transformation in geometry?

Back

A transformation in geometry is an operation that moves or changes a shape in some way, including translations, rotations, reflections, and dilations.

Front

What is the difference between a rotation and a reflection?

Back

A rotation turns a shape around a fixed point, while a reflection flips a shape over a line, creating a mirror image.

Front

How do you apply the transformation rule (x, y) → (y, -x)?

Back

To apply the transformation rule (x, y) → (y, -x), switch the x and y coordinates and change the sign of the new y-coordinate.

Front

What is the SSS Triangle Congruence Theorem?

Back

The SSS (Side-Side-Side) Triangle Congruence Theorem states that if three sides of one triangle are congruent to three sides of another triangle, then the two triangles are congruent.