Geometry Dilations & Similar Figures

Front

What is a dilation in geometry?

Back

A dilation is a transformation that alters the size of a figure but maintains its shape, using a center point and a scale factor.

Front

What does it mean for two figures to be similar?

Back

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

Front

How do you find the area of a parallelogram?

Back

The area of a parallelogram is calculated using the formula: Area = base × height.

Front

What is the formula for the area of a trapezoid?

Back

The area of a trapezoid is calculated using the formula: Area = (1/2) × (base1 + base2) × height.

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

If two triangles are similar, how do you find the length of a side in one triangle if you know the corresponding side in the other triangle?

Back

Use the ratio of the lengths of corresponding sides to set up a proportion and solve for the unknown side.

Front

What is the relationship between the angles of similar figures?

Back

The corresponding angles of similar figures are equal.

Front

How do you determine if two figures are similar using side lengths?

Back

Two figures are similar if the ratios of their corresponding side lengths are equal.

Front

What is the significance of congruent sides in similar figures?

Back

Congruent sides indicate that the figures are identical in size and shape, which is a special case of similarity.

Front

How do you calculate the area of a parallelogram with a base of 5 inches and a height of 4 inches?

Back

Area = base × height = 5 inches × 4 inches = 20 square inches.