Side-Splitter and Triangle Angle Bisector No rt. tri

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

Define Triangle Angle Bisector.

Back

A Triangle Angle Bisector is a line segment that bisects an angle of a triangle, dividing it into two equal angles.

Front

If two triangles are similar, what can be said about their corresponding sides?

Back

The corresponding sides of similar triangles are proportional.

Front

What is the formula for finding the length of a side using the Side-Splitter Theorem?

Back

If a line divides two sides of a triangle proportionally, then a/b = c/d, where a and b are segments of one side, and c and d are segments of the other side.

Front

How do you find the value of x in a triangle using the Angle Bisector Theorem?

Back

According to the Angle Bisector Theorem, if a point D lies on side BC of triangle ABC, then AB/AC = BD/DC.

Front

What is the relationship between the angles formed by a triangle's angle bisector?

Back

The angle bisector divides the angle into two equal angles.

Front

If a triangle has sides of lengths 10, 15, and x, and is similar to another triangle with sides 5, 7.5, and 3, what is the value of x?

Back

x = 10.

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 can you determine if two triangles are similar using the AA criterion?

Back

If two angles of one triangle are equal to two angles of another triangle, then the triangles are similar.

Front

What is the significance of the ratio in the Side-Splitter Theorem?

Back

The ratio indicates how the lengths of the segments created by the parallel line relate to each other.