Theorems Chapter 8

Question 1

The ratio of the perimeters of two similar polygons equals the ratio of any two —— ——-

Answer 1

corresponding sides

Question 2

(SSS~)

Answer 2

If the ratios of the measures of the corresponding sides are equal, the triangles are similar

Question 3

(SAS~)

Answer 3

If the ratios of the measures of the corresponding sides are =,
and the included angles are congruent
the triangles are similar

Question 4

Side Splitter

Answer 4

if a line is parallel to one side of a triangle and intersects the other two sides it divides those sides proportionally

Question 5

Three parallel line theorem

Answer 5

if three or more parallel lines are intersected by two transversals, the lines divide the transversals proportionally

Question 6

Angle Bisector Theorem

Answer 6

If a ray bisects an angle of a triangle, it divides the opposite side into segments that are proportional to its adjacent sides