Transformation Review

Front

What is a scale factor in transformations?

Back

A scale factor is a number that scales, or multiplies, the dimensions of a shape in a transformation. If the scale factor is greater than 1, it is an enlargement; if it is less than 1, it is a reduction.

Tags

CCSS.8.G.A.3

Front

How do you translate a point in a coordinate plane?

Back

To translate a point, you add the translation values to the x and y coordinates of the point. For example, translating point H(-6, 2) 3 units right and 4 units up results in H'(-3, 6).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

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

Back

Reflecting a point across the x-axis means to invert the y-coordinate of the point while keeping the x-coordinate the same. For example, reflecting point N(6, -5) across the x-axis results in N'(6, 5).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the result of rotating a point 180° about the origin?

Back

Rotating a point 180° about the origin changes the signs of both the x and y coordinates. For example, rotating point A(-3, 5) results in A' (3, -5).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is a dilation in transformations?

Back

A dilation is a transformation that alters the size of a shape but not its shape. It is defined by a scale factor that determines how much larger or smaller the shape will be.

Tags

CCSS.8.G.A.3

Front

What is the difference between enlargement and reduction in transformations?

Back

Enlargement increases the size of a shape (scale factor > 1), while reduction decreases the size of a shape (scale factor < 1).

Tags

CCSS.8.G.A.3

Front

How do you find the coordinates of a translated image?

Back

To find the coordinates of a translated image, add the translation values to the original coordinates. For example, translating point H(-6, 2) 3 units right and 4 units up gives H'(-3, 6).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What does it mean to rotate a shape 90° clockwise?

Back

Rotating a shape 90° clockwise around the origin involves switching the coordinates and changing the sign of the new x-coordinate. For example, point (x, y) becomes (y, -x).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the effect of reflecting a shape across the y-axis?

Back

Reflecting a shape across the y-axis inverts the x-coordinates of all points in the shape while keeping the y-coordinates the same.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

How do you determine the scale factor of a transformation?

Back

The scale factor can be determined by comparing the lengths of corresponding sides of the original shape and the transformed shape. It is calculated as the length of a side in the transformed shape divided by the length of the corresponding side in the original shape.

Tags

CCSS.7.G.A.1