M1 EOT2 Review

Front

What is a transformation that does NOT preserve congruence?

Back

A transformation that does NOT preserve congruence is a dilation with a scale factor other than 1, such as (x,y) → (4x, 4y).

Front

What happens to the perimeter and area of a figure when it is dilated by a scale factor of 4?

Back

The perimeter is multiplied by 4 and the area is multiplied by 16.

Front

If two triangles are similar, what is the relationship between the lengths of their corresponding sides?

Back

Front

What does it mean when a dilation has a scale factor greater than one?

Back

When a dilation has a scale factor greater than one, it results in an enlargement of the figure.

Front

What are the new vertices of a triangle with vertices (-4, 8), (4, 12), and (-4,-6) after a dilation of 1/2?

Back

The new vertices are (-2, 4), (2, 6), and (-2,-3).

Front

Define dilation in geometry.

Back

Dilation is a transformation that alters the size of a figure but maintains its shape, defined by a scale factor.

Front

What is the scale factor in a dilation?

Back

The scale factor is a number that describes how much a figure is enlarged or reduced during a dilation.

Front

How does a scale factor of 1 affect a figure during dilation?

Back

A scale factor of 1 means the figure remains unchanged during dilation.

Front

What is the effect of a negative scale factor in dilation?

Back

A negative scale factor results in a reflection of the figure across the origin, in addition to resizing.

Front

What is the formula for the area of a figure after dilation?

Back

If a figure is dilated by a scale factor of k, the new area is k² times the original area.