Similar Figures Lessons

Front

What is a scale factor in dilation?

Back

A scale factor is a number that scales, or multiplies, a quantity. In dilation, it determines how much a figure is enlarged or reduced.

Front

How do you find the height of an object using similar figures?

Back

Set up a proportion comparing the heights and shadow lengths of the objects. Use the formula: height1/shadow1 = height2/shadow2.

Front

What are corresponding angles?

Back

Corresponding angles are angles that are in the same position on two different parallel lines cut by a transversal.

Front

What is the relationship between similar figures?

Back

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

Front

If point A (4, 6) is dilated by a scale factor of 2, what are the coordinates of the new point?

Back

(8, 12)

Front

What does it mean to dilate a point?

Back

To dilate a point means to change its position based on a scale factor, either enlarging or reducing its distance from the origin.

Front

If a triangle has sides of lengths 3, 4, and 5, what are the lengths of the sides of a similar triangle with a scale factor of 2?

Back

6, 8, and 10.

Front

What is the scale factor if point (10, 15) is dilated to (5, 7.5)?

Back

1/2.

Front

How do you determine if two triangles are similar?

Back

Two triangles are similar if their corresponding angles are equal and the lengths of their corresponding sides are proportional.

Front

What is the formula for finding the area of similar figures?

Back

If the scale factor is k, the ratio of the areas is k².