Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape in some way to produce a new shape. Common types include translations, rotations, and reflections.

Front

What does it mean to rotate a figure 270° clockwise?

Back

Rotating a figure 270° clockwise means turning the figure around a point (usually the origin) three-quarters of a full turn in the clockwise direction.

Front

What is the ASA postulate in triangle congruence?

Back

The ASA (Angle-Side-Angle) postulate states that if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the two triangles are congruent.

Front

How do you find the value of x in a geometric problem?

Back

To find the value of x, you typically set up an equation based on the properties of the shapes involved, such as angles, sides, or relationships between them, and solve for x.

Front

What is dilation in geometry?

Back

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

What is the scale factor in dilation?

Back

The scale factor is a number that describes how much a figure is enlarged or reduced during a dilation. A scale factor greater than 1 enlarges the figure, while a scale factor between 0 and 1 reduces it.

Front

What are the three types of transformations?

Back

The three types of transformations are translations (sliding), rotations (turning), and reflections (flipping).

Front

What does it mean for triangles to be congruent?

Back

Triangles are congruent if they have the same size and shape, which can be proven using various postulates such as SSS, SAS, ASA, and AAS.

Front

What is a translation in geometry?

Back

A translation is a transformation that moves every point of a figure the same distance in the same direction.

Front

What is the difference between a rotation and a reflection?

Back

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