Question

How can you check if a segment is an angle bisector of a triangle?

Check if measures of the two angles the segment divides the vertex angle into are the same.

Check if the areas of the two triangles the segment forms are equal.

Check if the segment meets a side of the triangle at a right angle and divides the vertex angle into two congruent angles.

Check if the segment meets a side of the triangle at a right angle and divides the side into two congruent parts.

Answer 1

I think it is the last one..

Answer 2

Do you know the definition of an angle bisector?

Answer 3

No

Answer 4

An angle bisector is a line, a segemnt, or a ray that separates an angle into two congruent angles. (Congruent angles have equal measures.)

Answer 5

oh ok

Answer 6

Look at triangle ABC.

Answer 7

I drew AD as a bisector of angle BAC.

Answer 8

Since AD bisects angle BAC, from the definition of angle bisector, now you know that angles BAD and CAD are congruent. They have the same measure.

Answer 9

ok, so the angles are the same?

Answer 10

Now look at traingles ABD and ADC. Do they look like the have the same area? This is what B is asking.

Answer 11

Yes, you are correct.

Answer 12

So its B?

Answer 13

No. I showed you B to show it's not the answer. The areas are not the same. You already found the answer. It's the answer with two angles that are the same measure. A.