Proportional Segments in Triangles

If two figures are similar, their corresponding sides are:

• equal

• congruent

• proportional

• none of these

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

In triangle ABC, DE || CB. If AC = 30, AD = 10, AE = 22, and EB = x+4, find x.

Mathematical Equivalence

ON

Tags

GM.2

GSRT.4

GSRT.4a

GSRT.4b

GSRT.5

Select the proportion that shows the Triangle Proportionality Theorem.

Find x.

Mathematical Equivalence

ON

Tags

GM.2

GSRT.4

GSRT.4a

GSRT.4b

GSRT.5

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

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

In a right triangle, the___________ to the hypotenuse divides the triangle into similar triangles, each triangle similar to the given triangle.

• altitude

• leg

• geometric mean

• hypotenuse