Sequence of Transformations Review

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.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

Define translation in the context of transformations.

Back

Translation is a type of transformation that slides a shape a certain distance in a specified direction without changing its size, shape, or orientation.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is a reflection in geometry?

Back

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

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

Explain rotation in terms of geometric transformations.

Back

Rotation is a transformation that turns a shape around a fixed point, called the center of rotation, by a certain angle.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is dilation in geometry?

Back

Dilation is a transformation that changes the size of a shape but keeps its proportions the same, defined by a scale factor.

Tags

CCSS.8.G.A.3

Front

What does it mean for two shapes to be similar?

Back

Two shapes are similar if they have the same shape but may differ in size, meaning their corresponding angles are equal and their sides are in proportion.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

Describe the sequence of transformations: reflection followed by translation.

Back

This sequence first flips the shape over a line (reflection) and then slides it to a new position (translation).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the effect of a 90° counter-clockwise rotation about the origin?

Back

A 90° counter-clockwise rotation about the origin moves each point of the shape to a new position that is 90 degrees to the left around the origin.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

How does a reflection across the x-axis affect the coordinates of a point?

Back

A reflection across the x-axis changes the sign of the y-coordinate of each point, while the x-coordinate remains the same.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What happens to a shape during a translation of 5 units down?

Back

All points of the shape move down vertically by 5 units, maintaining the shape's orientation and size.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5