Chapter6

Question 1

Converse of the triangle proportionality theorem

Answer 1

If a line divides two sides of a triangle proportionally then its parallel to the third side

Question 2

Theorem 6.6

Answer 2

If three parallel lines intersect two transversal a then they divide the transversals proportionally

Question 3

Theorem 6.7

Answer 3

If a ray bisects an angle of a triangle then it divides the opposite side into segments whose lengths are proportional to the lengths of the other two sides

Question 4

A A similarity postulate

Answer 4

If tow angles in one triangle are congruent to two triangles in another triangle then the triangles are similar

Question 5

Side side side similarity theorem

Answer 5

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

Question 6

Side angle side similarity theorem

Answer 6

If an angle of one triangle is congruent to an angle of a second triangle and the lengths of the sides including the angle are proportional then the triangles are similar

Question 7

Triangle proportionality theorem

Answer 7

If a line parallel to one side of a triangle intersects the other two sides, then it divides the two sides proportionally