Similarity

Question 1

If 3 || lines cut a transversal into congruent parts, then…

Answer 1

…any transversal will be cut into congruent parts

Question 2

If a segment is drawn from the midpoint of one side of a triangle || to a second side, then…

Answer 2

…it hits the midpoint of the third side

Question 3

midline of a triangle

Answer 3

the segment joining the midpoint of two sides of the triangle

Question 4

midline theorem

Answer 4

the midline of a triangle is parallel to the base and half the length of the base

Question 5

similarity

Answer 5

things are the same shape, but not necessarily the same size

polygons have vertices paired such that corresponding angles are congruent and corresponding sides are in proportion

Question 6

CASTC

Answer 6

corresponding angles of similar triangles are congruent

Question 7

CSSTP

Answer 7

corresponding sides of similar triangles are in proportion

Question 8

AA Post

Answer 8

If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar

Question 9

SAS~ Thm

Answer 9

If two sides of a triangle are in proportion and the included angle is congruent to another triangle’s two sides and included angle, then the triangles are similar

Question 10

SSS~ Thm

Answer 10

If three sides of a triangle are in proportion with the three sides of another triangle, then the triangles are similar

Question 11

If polygons are similar, then the ratio of their areas is

Answer 11

(scale factor)²

Question 12

Side-Splitter Theorem

Answer 12

A line drawn parallel to one side of a triangle cuts the other two sides proportionally

Question 13

Triangle Angle Bisector Theorem

Answer 13

The angle bisector of a triangle splits the other side of triangle in proportion to the other sides