2/28 QUIZ Similarity

1.     Find the perimeter of the larger pentagon if the two pentagons are similar.

Triangle BAK and Triangle JOL are similar because of the ____________________ similarity conjecture (shortcut).

Triangle ACE is similar to triangle SPY because of the ​ (a)   similarity conjecture.

• SSS
• SSA
• SAS
• ASA
• AA

Solve for x.

• x=36

• x=5.143

• x=27

• The triangles are not similar.

If the three sides of one triangle are proportional to the three corresponding sides of another triangle, then the two triangles are congruent.

• True

• False

• Need more information

If a line passes through two sides of a triangle, dividing them proportionally, then the line is parallel to the third side.

• True

• False

• Not enough information to tell

If two triangles are similar, then the corresponding altitudes are proportional to the corresponding sides.

• True

• False

• Not enough information

An angle bisector in a triangle divides the opposite side into two segments whose lengths are in the same ratio as the corresponding adjacent angles.

• True

• False

Kendra can see the top of her apartment building reflected in a small fishpond in a park across the street. She is standing 2 m from the pond, and the distance from the pond to the apartment building is 40 m. If Kendra’s eyes are 1.5 m above the ground, how tall is the apartment building?

Tags

CCSS.HSG.SRT.B.4

Solve for z.

• z=14

• z=6

• z=1.5

• z=2/3