Similar Figures Solving Missing Side

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 lengths of their corresponding sides are proportional.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What is the concept of proportionality in similar figures?

Back

Proportionality in similar figures means that the ratios of the lengths of corresponding sides are equal. If two figures are similar, then the ratio of any two corresponding sides is the same.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

How do you find the missing side of a similar figure?

Back

To find the missing side of a similar figure, set up a proportion using the lengths of the corresponding sides of the similar figures and solve for the unknown.

Tags

CCSS.HSG.SRT.A.2

Front

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

Back

If two triangles are similar, their corresponding angles are equal.

Tags

CCSS.HSG.SRT.A.2

Front

What is the formula for finding the scale factor between two similar figures?

Back

The scale factor can be found by dividing the length of a side of one figure by the length of the corresponding side of the other figure.

Tags

CCSS.7.G.A.1

Front

How do you apply the scale factor to find a missing side?

Back

To find a missing side using the scale factor, multiply the known side length by the scale factor if the figure is larger, or divide if it is smaller.

Tags

CCSS.7.G.A.1

Front

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

Back

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

Front

What is a real-world application of similar figures?

Back

Similar figures can be used in real-world applications such as architecture, engineering, and map reading, where scale models or drawings are used.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What is the importance of understanding similar figures in geometry?

Back

Understanding similar figures is important in geometry as it helps in solving problems related to proportions, scaling, and real-life applications.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

How can you determine if two figures are similar?

Back

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

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6