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.

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).

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).

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).

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.

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).

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).

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).

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.

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.