Unit 3 Geometry

Front

What is a reflection in geometry?

Back

A reflection is a transformation that flips a figure over a line, creating a mirror image.

Front

What does it mean to reflect a point across the x-axis?

Back

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

Front

What is the result of reflecting the point (3, 4) across the x-axis?

Back

The reflected point is (3, -4).

Front

What is a transformation in geometry?

Back

A transformation 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 figure around a point, while a reflection flips it over a line.

Front

What does it mean to rotate a figure 90 degrees counterclockwise around the origin?

Back

To rotate a figure 90 degrees counterclockwise around the origin, each point (x, y) transforms to (-y, x).

Front

What is the result of rotating the point (2, 3) 90 degrees counterclockwise around the origin?

Back

The new point is (-3, 2).

Front

What is a translation in geometry?

Back

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

Front

What is the result of translating the point (1, 2) up 3 units?

Back

The new point is (1, 5).

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.