Front

What is the SAS postulate in triangle congruence?

Back

The SAS (Side-Angle-Side) postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.

Front

What transformation occurs when a figure is reflected across the x-axis?

Back

When a figure is reflected across the x-axis, the y-coordinates of the points are inverted, while the x-coordinates remain the same.

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

How do you determine if two triangles are congruent?

Back

Two triangles are congruent if any of the following conditions are met: 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 formula for calculating the area of a triangle?

Back

The area of a triangle can be calculated using the formula: Area = 1/2 * base * height.

Front

What does a 90° clockwise rotation do to the coordinates of a point (x, y)?

Back

A 90° clockwise rotation transforms the coordinates (x, y) to (y, -x).

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 to produce a new shape. Common transformations include translations, rotations, reflections, and dilations.

Front

How do you find the ratio of corresponding sides in similar triangles?

Back

To find the ratio of corresponding sides in similar triangles, divide the lengths of the sides of one triangle by the lengths of the corresponding sides of the other triangle.

Front

What is the result of reflecting the point (3, 5) over the x-axis?

Back

The result of reflecting the point (3, 5) over the x-axis is (3, -5).

Front

What is the definition of congruent triangles?

Back

Congruent triangles are triangles that are identical in shape and size, meaning all corresponding sides and angles are equal.