If the scale factor of two similar figures is 4:5, and the length of a side in the smaller figure is 10 cm, what is the length of the corresponding side in the larger figure?

The length of the corresponding side in the larger figure is 12.5 cm.

How do you determine if two figures are similar?

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

What is the relationship between the areas of two similar figures?

The ratio of the areas of two similar figures is equal to the square of the ratio of their corresponding sides.

If the sides of two similar rectangles are in the ratio 3:4, what is the ratio of their areas?

The ratio of their areas is 3²:4², which is 9:16.

What is a common misconception about similar figures?

A common misconception is that similar figures must be the same size; however, they can be different sizes as long as their shapes are the same.

If two similar parallelograms have a scale factor of 2:3, and the area of the smaller parallelogram is 24 cm², what is the area of the larger parallelogram?

The area of the larger parallelogram is 24 cm² × (3/2)² = 36 cm².

What does it mean for two triangles to be similar?

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

If triangle XYZ is similar to triangle PQR and the length of side XY is 5 cm, what can be said about side PQ?

The length of side PQ will be proportional to side XY based on the scale factor of the similar triangles.

Similar Figures

Flashcard

•

Mathematics

•

7th Grade

•

Practice Problem

•

Easy

•

CCSS

8.G.A.2, HSG.SRT.A.2, 7.G.A.1

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15 questions

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FLASHCARD QUESTION

Front

What are similar figures?

Back

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

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

FLASHCARD QUESTION

Front

What does 'corresponding' mean in the context of similar figures?

Back

In the context of similar figures, 'corresponding' refers to matching parts of the figures, such as angles or sides.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

FLASHCARD QUESTION

Front

What is true about the angles of similar figures?

Back

Corresponding angles of similar figures are congruent (equal in measure).

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

FLASHCARD QUESTION

Front

What is true about the sides of similar figures?

Back

Corresponding sides of similar figures are proportional, meaning the ratios of their lengths are equal.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

FLASHCARD QUESTION

Front

If two triangles are similar, what can be said about their corresponding sides?

Back

The lengths of corresponding sides of similar triangles are in proportion.

Tags

CCSS.HSG.SRT.A.2

FLASHCARD QUESTION

Front

If triangle ABC is similar to triangle DEF, and the length of side AB is 6 cm and side DE is 9 cm, what is the ratio of their corresponding sides?

Back

The ratio of their corresponding sides is 6:9 or 2:3.

Tags

CCSS.HSG.SRT.A.2

FLASHCARD QUESTION

Front

What is the scale factor in similar figures?

Back

The scale factor is the ratio of the lengths of two corresponding sides of similar figures.

Tags

CCSS.7.G.A.1

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