Dividing Segments Proportionally

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

Refer to the figure. Find the length of the segment a. Note: segment a is an altitude and the length of the segments of hypotenuse are 16 and 4.

• 6

• 7

• 8

• Choice (1)
• Choice (2)
• Choice (3)
• Choice (4)

Find the coordinates of point P that partitions segment AB into a ratio of 2:1.

• (2, 1)

• (1, 2)

• (1, -1)

• None of the above

Mathematical Equivalence

ON

• A

• B

• C

• D

Refer to the figure. Find the length of the segment b. Note: segment b is a leg and the length of the segments of hypotenuse are 16 and 4. And 4 is adjacent to b.

Find the missing length.

• 10

• 21

• 35

• 9