Proportions in Triangles

Question 1

Side-Splitter Theorem

Answer 1

if one line is parallel to one side of a triangle and intersects the other two sides, then that line divides those 2 sides of a triangle proportionally

Question 2

Corollary to Side-Splitter Theorem

Answer 2

if 3 parallel lines intersect 2 transversals, then the segments intersected on the transversal are proportional

Question 3

Triangle-Angle Bisector Theorem

Answer 3

if a ray bisects an angle of a triangle, then it divides the opposite side into 2 segments that are proportional to the other 2 sides of the triangle