Semester Geometry Review

Two ladders are leaning against a wall at the same angle as shown.  How long is the shorter ladder?

• 8 ft

• 18 ft

• 22 ft

• 36 ft

If two polygons are SIMILAR, then the corresponding angles must be _____.

• Complementary

• Congruent

• Supplementary

• Vertical Angles

The postulate or theorem that can be used to prove that the two triangles are similar is _____.

• SAS Similarity Theorem

• SSS Similarity Theorem

• AA Similarity Postulate

• ASA Congruence Theorem

What is the missing step in the proof?

• m<3+m<4=180

• m<3+m<4=90

• m<3+m<4=360

• m<3=m<4

Fill in the missing step in the proof.

• m<y+m<w=180 Linear pairs are supplementary

• m<y+m<x=180 Linear pairs are supplementary

• m<y+m<x=180 Vertical Angles are supplementary

• m<y+m<w=180 Vertical angles are supplementary

If two polygons are SIMILAR, then the corresponding sides must be _____.

• Congruent

• Parallel

• Proportional

• Similar

Describe the relationship between the marked lines

• They are congruent

• They are perpendicular

• They are parallel

• All of the above

The triangle below is isosceles. How do we know this?

• All angles are congruent

• At least 2 angles are congruent

• No angles are congruent

• Not enough information

Name a pair of alternate exterior angles.

• ∠AGE and ∠DHF

• ∠AGH and ∠CHG

• ∠GHC and ∠HGB

• ∠CHF and ∠AGH

The distinct lines a, b, c and d are in the same plane with the given constraints a is perpendicular to b, b || c, and  c  is perpendicular to d. Describe how a and d relate.  (Hint: Draw a picture first.)

• Line a is parallel to line d

• Line a intersects line d

• Line a is perpendicular to line d

• no relationship can be determined