Geo. Chapter 8 Study Guide Similarity
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Last updated over 1 year ago
18 questions
8.1 Similar Polygons
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.
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!
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.
The polygons are similar.
Find the value of x.
1
Decide whether the two polygons are similar. Explain your reasoning.
Decide whether the two polygons are similar. Explain your reasoning.
1
Decide whether the two polygons are similar. Explain your reasoning.
Decide whether the two polygons are similar. Explain your reasoning.
8.2 Proving Triangle SImilarity by AA
1
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.
1
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.
1
Show that the triangles are similar and write a similarity statement.
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?
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?
8.3 Proving Triangle Similarity by SSS and SAS
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.
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.
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.
△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.
8.4 Proportionality Theorems
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.
Find the length of YB.
1
Find the length of AB.
Find the length of AB.
1
Find the length of AB.
Find the length of AB.
1
Find the distance AC between First Street and Third Street.
Find the distance AC between First Street and Third Street.