Similar Figures & Scale Drawings

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 the ratios of their corresponding sides are proportional.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What is a scale drawing?

Back

A scale drawing is a representation of an object or area that is proportionally reduced or enlarged to fit a specific size, using a scale factor.

Tags

CCSS.7.G.A.1

Front

What does it mean if two figures are similar?

Back

If two figures are similar, it means that their corresponding angles are equal and the lengths of their corresponding sides are in proportion.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

How do you determine if two triangles are similar?

Back

Two triangles are similar if they satisfy one of the following criteria: AA (Angle-Angle), SSS (Side-Side-Side), or SAS (Side-Angle-Side) similarity.

Tags

CCSS.HSG.SRT.B.5

Front

What is a scale factor?

Back

A scale factor is a ratio that compares the dimensions of a model or drawing to the actual dimensions of the object it represents.

Tags

CCSS.7.G.A.1

Front

If a model is built at a scale of 1:50, what does this mean?

Back

This means that 1 unit of measurement on the model represents 50 units of the same measurement in reality.

Tags

CCSS.7.G.A.1

Front

How do you convert measurements to find the actual size using a scale?

Back

To find the actual size, multiply the measurement on the model by the scale factor.

Tags

CCSS.7.G.A.1

Front

What is the formula for finding the missing side in similar triangles?

Back

The formula is: (side length in triangle 1) / (side length in triangle 2) = (corresponding side length in triangle 1) / (corresponding side length in triangle 2).

Tags

CCSS.HSG.SRT.A.2

Front

If two similar figures have a scale factor of 3:1, what does this imply about their areas?

Back

The area of the larger figure is 9 times greater than the area of the smaller figure, because area scales with the square of the scale factor.

Tags

CCSS.7.G.A.1

Front

What is the relationship between corresponding angles in similar figures?

Back

In similar figures, corresponding angles are always equal.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6