Transformations - Rigid Motions

Front

What is a rigid motion?

Back

A transformation that preserves distance and angle measures, meaning the shape and size of the figure remain unchanged.

Tags

CCSS.HSG.CO.B.6

Front

What are the types of rigid motions?

Back

1. Translations 2. Rotations 3. Reflections

Tags

CCSS.HSG.CO.B.6

Front

How does a translation affect the coordinates of a point?

Back

A translation moves a point by adding a specific value to its x and y coordinates.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the effect of a 180° rotation about the origin on a point (x, y)?

Back

The new coordinates will be (-x, -y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

Describe the translation of Point A (3, -8) to A'(-4, -5).

Back

The translation can be described as (x - 7, y + 3).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the result of translating Point (7, 2) vertically 2 units and horizontally -5 units?

Back

The new point is located at (2, 4).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What does it mean for a shape to have lines of symmetry?

Back

Lines of symmetry are lines that divide a shape into two identical halves that are mirror images of each other.

Tags

CCSS.4.G.A.3

Front

How many lines of symmetry does a rectangle have?

Back

A rectangle has 2 lines of symmetry.

Tags

CCSS.4.G.A.3

Front

What is the transformation represented by (x, y) → (x + 2, y - 3)?

Back

This transformation is a slide right 2 units and down 3 units.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the coordinate of point A' if point A(3, 5) is rotated 90° counterclockwise about the origin?

Back

The new coordinates will be (-5, 3).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5