Side Splitter and Triangle Angle Bisector Theorems Flashcard

Front

What is the Side Splitter Theorem?

Back

The Side Splitter Theorem states that if a line is drawn parallel to one side of a triangle, it divides the other two sides proportionally.

Front

State the Triangle Angle Bisector Theorem.

Back

The Triangle Angle Bisector Theorem states that the angle bisector of an angle in a triangle divides the opposite side into segments that are proportional to the lengths of the other two sides.

Front

If segment AB is a midsegment of triangle QRS, what is the relationship between AB and QS?

Back

AB is half the length of QS.

Front

Back

x = 15.

Front

If AB = 16 and AB is a midsegment, what is QS?

Back

QS = 32.

Front

What does it mean for two triangles to be similar?

Back

Two triangles are similar if their corresponding angles are equal and their corresponding sides are in proportion.

Front

How do you find the length of a side in a triangle using proportions?

Back

Set up a proportion using the lengths of the sides of the triangles and solve for the unknown length.

Front

What is the formula for the length of a midsegment in a triangle?

Back

The length of a midsegment is equal to half the length of the third side.

Front

Back

The segments AB and AC are proportional to segments BM and CD.

Front

What is the significance of the angle bisector in a triangle?

Back

The angle bisector divides the angle into two equal angles and creates two segments on the opposite side that are proportional to the adjacent sides.