Proportional Segments

Find the missing length.

• 15

• 11

• 35

• 8

Find the missing length.

• 21

• 18

• 16

• 24

Find the missing length.

• 6

• 8

• 5

• None of these

What is the side splitter theorem?

• If a line is perpendicular to one side of a triangle and intersects the other three sides, then it divides those side proportionally.

• If a line is parallel to one side of a triangle and intersects the other three sides, then it divides those side proportionally.

• If a line is perpendicular to one side of a triangle and intersects the other two sides, then it divides those side proportionally.

• If a line is parallel to one side of a triangle and intersects the other two sides, then it divides those side proportionally.

What is the corollary to the side-splitter theorem

• If three parallel lines intersect two transversals, then the segments intercepted on the transversals are proportional

• If a line is perpendicular to one side of a triangle and intersects the other three sides, then it divides those side proportionally.

• If a line is parallel to one side of a triangle and intersects the other three sides, then it divides those side proportionally.

• If three parallel lines intersect one transversal, then the segments intercepted on the transversals are proportional

What is X

• 10

• 12

• 14

• 18

What is X

• 9

• 7

• 4

• 6

In triangle proportionality theorem states that if a line intersects two sides of a triangle and is parallel to the third side, then it divides the first two sides____________.

• proportionally

• similarly

• perpendicularly

• equally

In the converse of the triangle proportionality theorem states that if a line intersects two sides of a triangle and cuts off the two sides proportionally, then the line is __________ to the third side.

• parallel

• perpendicular

• opposite

• equal

In Triangle Angle Bisector Theorem (TABT), if a segment bisects an angle of a triangle, then it divides the ____________ side into segments proportional to the other two sides.

• opposite

• consecutive

• parallel

• congruent