Ch.6 similarity

Question 1

Property 1 of proportions

Answer 1

AD=BC

Question 2

Property 2 of proportions

Answer 2

B/A=D/C

Question 3

Property 3 of proportions

Answer 3

A/C=B/D

Question 4

Property 4 of proportions

Answer 4

A+B/B

Equals

C+D/D

Question 5

What are the three ways to prove something proportional?

Answer 5

1. Constant ratio
2. Constant multiplier
3. Scale factor

Question 6

Angle angle similarity postulate (AA)

Answer 6

If two angles of one triangle are congruent to 2 angles of another triangle, the triangles are similar

Question 7

Side-side-side similarity theorem (SSS)

Answer 7

If the corresponding side lengths of two triangles are proportional then the triangles are similar

Question 8

Side-angle-side similarity theorem

Answer 8

If the side lengths of two triangles are proportional and the corresponding angles are congruent, then the triangles are similar

Question 9

Triangle proportionality theorem

Answer 9

If a line is parallel to the third side of a triangle, it divides the two sides proportionally

Question 10

Lines cut by transversal similarity theorem

Answer 10

If three parallel lines intersect two transversals, they divide the transversals proportionally

Question 11

Dividing ray theorem

Answer 11

If a ray bisects an angle of a triangle then the two halves of the triangle are proportional