Geometry Unit 4 Review

Front

What is the algebraic rule for translating a point (x,y) if (9,-5) is translated to (5,0)?

Back

(x-4,y+5)

Front

Describe the sequence of transformations that involves reflecting over the x-axis and then rotating 90° counterclockwise about the origin.

Back

Reflect ABCD over the x-axis and then rotate 90° counterclockwise about the origin.

Front

Which transformation does NOT preserve the dimensions of a figure?

Back

Dilation (IV) does not preserve dimensions.

Front

What is the result of transforming Figure 1 into Figure 2 followed by Figure 2 into Figure 3 if both transformations are reflections?

Back

Reflection, reflection.

Front

If Rectangle R with vertices (-4,4), (-2,2), (-1,7), and (1,5) is translated by (x,y)→(x+7,y-3) and then reflected over the x-axis, what is the resulting image R'?

Back

(3, -4), (5, -2), (6, -7), (8, -5) (example coordinates after transformations).

Front

What is a translation in geometry?

Back

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

Front

What is a rotation in geometry?

Back

A rotation is a transformation that turns a figure around a fixed point, called the center of rotation.

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 is dilation in geometry?

Back

Dilation is a transformation that changes the size of a figure but preserves its shape.

Front

What does it mean for a transformation to preserve dimensions?

Back

It means that the size and shape of the figure remain unchanged after the transformation.