Geo. Chapter 8 Study Guide Similarity

1

Find the scale factor. Then list all pairs of congruent angles and write the ratios of the corresponding side lengths in a statement of proportionality.

1

Find the scale factor. Then list all pairs of congruent angles and write the ratios of the corresponding side lengths in a statement of proportionality.

Careful to look at the orientation!

1

The polygons are similar.
Find the value of x.

1

Decide whether the two polygons are similar. Explain your reasoning.

1

Decide whether the two polygons are similar. Explain your reasoning.

1

Determine whether the triangles are similar. If they are, write a similarity statement. Explain your reasoning on the "show your work" screen.

1

Determine whether the triangles are similar. If they are, write a similarity statement. Explain your reasoning on the "show your work" screen.

1

Show that the triangles are similar and write a similarity statement.

1

A cell tower casts a shadow that is 72 feet long, while a nearby tree that is 27 feet tall casts a shadow that is 6 feet long. How tall is the tower?

2

Use the SSS Similarity Theorem or the SAS Similarity Theorem to show that the triangles are similar and to write a similarity statement. Explain your reasoning.

Type in which Theorem proves similarity and write the similarity statements on the "show your work" screen.

12. _______ 
13. _______ 

1

Find the value of x that makes Triangle ABC similar to Triangle DEF.

1

The side lengths of △LMN are 20, 8x, and 60. The side lengths of △RST are 25, 50, and 15x. Is it possible that the triangles are similar? Explain.

1

△ABC is an isosceles triangle that has an angle with a measure of 50°. △DEF is an isosceles triangle that has an angle with a measure of 40°. Is it possible that the triangles are similar? Explain.

2

Determine whether AB is parallel to CD. Write "parallel" or "not parallel" and show work to verify.

17. _______ 
18. _______

1

Find the length of YB.

1

Find the length of AB.

1

Find the length of AB.

1

Geo. Chapter 8 Study Guide Similarity

Find the scale factor. Then list all pairs of congruent angles and write the ratios of the corresponding side lengths in a statement of proportionality.

Find the scale factor. Then list all pairs of congruent angles and write the ratios of the corresponding side lengths in a statement of proportionality.

Careful to look at the orientation!

The polygons are similar.
Find the value of x.

Decide whether the two polygons are similar. Explain your reasoning.

Decide whether the two polygons are similar. Explain your reasoning.

Determine whether the triangles are similar. If they are, write a similarity statement. Explain your reasoning on the "show your work" screen.

Determine whether the triangles are similar. If they are, write a similarity statement. Explain your reasoning on the "show your work" screen.

Show that the triangles are similar and write a similarity statement.

A cell tower casts a shadow that is 72 feet long, while a nearby tree that is 27 feet tall casts a shadow that is 6 feet long. How tall is the tower?

Find the value of x that makes Triangle ABC similar to Triangle DEF.

The side lengths of △LMN are 20, 8x, and 60. The side lengths of △RST are 25, 50, and 15x. Is it possible that the triangles are similar? Explain.

△ABC is an isosceles triangle that has an angle with a measure of 50°. △DEF is an isosceles triangle that has an angle with a measure of 40°. Is it possible that the triangles are similar? Explain.

Find the length of YB.

Find the length of AB.

Find the length of AB.

Find the distance AC between First Street and Third Street.

Find the scale factor. Then list all pairs of congruent angles and write the ratios of the corresponding side lengths in a statement of proportionality.

Find the scale factor. Then list all pairs of congruent angles and write the ratios of the corresponding side lengths in a statement of proportionality.

Careful to look at the orientation!

The polygons are similar.
Find the value of x.

Decide whether the two polygons are similar. Explain your reasoning.

Decide whether the two polygons are similar. Explain your reasoning.

Determine whether the triangles are similar. If they are, write a similarity statement. Explain your reasoning on the "show your work" screen.

Determine whether the triangles are similar. If they are, write a similarity statement. Explain your reasoning on the "show your work" screen.

Show that the triangles are similar and write a similarity statement.

A cell tower casts a shadow that is 72 feet long, while a nearby tree that is 27 feet tall casts a shadow that is 6 feet long. How tall is the tower?

Find the value of x that makes Triangle ABC similar to Triangle DEF.

The side lengths of △LMN are 20, 8x, and 60. The side lengths of △RST are 25, 50, and 15x. Is it possible that the triangles are similar? Explain.

△ABC is an isosceles triangle that has an angle with a measure of 50°. △DEF is an isosceles triangle that has an angle with a measure of 40°. Is it possible that the triangles are similar? Explain.

Find the length of YB.

Find the length of AB.

Find the length of AB.

Find the distance AC between First Street and Third Street.

Geo. Chapter 8 Study Guide Similarity

Geo. Chapter 8 Study Guide Similarity

Find the scale factor. Then list all pairs of congruent angles and write the ratios of the corresponding side lengths in a statement of proportionality.

Find the scale factor. Then list all pairs of congruent angles and write the ratios of the corresponding side lengths in a statement of proportionality.Careful to look at the orientation!

The polygons are similar. Find the value of x.

Decide whether the two polygons are similar. Explain your reasoning.

Decide whether the two polygons are similar. Explain your reasoning.

Determine whether the triangles are similar. If they are, write a similarity statement. Explain your reasoning on the "show your work" screen.

Determine whether the triangles are similar. If they are, write a similarity statement. Explain your reasoning on the "show your work" screen.

Show that the triangles are similar and write a similarity statement.

A cell tower casts a shadow that is 72 feet long, while a nearby tree that is 27 feet tall casts a shadow that is 6 feet long. How tall is the tower?

Find the value of x that makes Triangle ABC similar to Triangle DEF.

The side lengths of △LMN are 20, 8x, and 60. The side lengths of △RST are 25, 50, and 15x. Is it possible that the triangles are similar? Explain.

△ABC is an isosceles triangle that has an angle with a measure of 50°. △DEF is an isosceles triangle that has an angle with a measure of 40°. Is it possible that the triangles are similar? Explain.

Find the length of YB.

Find the length of AB.

Find the length of AB.

Find the distance AC between First Street and Third Street.

Find the scale factor. Then list all pairs of congruent angles and write the ratios of the corresponding side lengths in a statement of proportionality.

Find the scale factor. Then list all pairs of congruent angles and write the ratios of the corresponding side lengths in a statement of proportionality.Careful to look at the orientation!

The polygons are similar. Find the value of x.

Decide whether the two polygons are similar. Explain your reasoning.

Decide whether the two polygons are similar. Explain your reasoning.

Determine whether the triangles are similar. If they are, write a similarity statement. Explain your reasoning on the "show your work" screen.

Determine whether the triangles are similar. If they are, write a similarity statement. Explain your reasoning on the "show your work" screen.

Show that the triangles are similar and write a similarity statement.

A cell tower casts a shadow that is 72 feet long, while a nearby tree that is 27 feet tall casts a shadow that is 6 feet long. How tall is the tower?

Find the value of x that makes Triangle ABC similar to Triangle DEF.

The side lengths of △LMN are 20, 8x, and 60. The side lengths of △RST are 25, 50, and 15x. Is it possible that the triangles are similar? Explain.

△ABC is an isosceles triangle that has an angle with a measure of 50°. △DEF is an isosceles triangle that has an angle with a measure of 40°. Is it possible that the triangles are similar? Explain.

Find the length of YB.

Find the length of AB.

Find the length of AB.

Find the distance AC between First Street and Third Street.

Find the scale factor. Then list all pairs of congruent angles and write the ratios of the corresponding side lengths in a statement of proportionality.

Careful to look at the orientation!

The polygons are similar.
Find the value of x.

Find the scale factor. Then list all pairs of congruent angles and write the ratios of the corresponding side lengths in a statement of proportionality.

Careful to look at the orientation!

The polygons are similar.
Find the value of x.