Question

Need Help
@Directrix

Answer 1

@wolfe8

Answer 2

@angelarios

Answer 3

@HaileyD

Answer 4

@Gracy_KSL The angle bisector of the vertex angle of an isosceles triangle has several other properties.

It is the perpendicular-bisector of the side to which it is drawn.

Answer 5

okay so basically what does that mean? can you simplify what you just said

Answer 6

So, look at this marked-up diagram and post what you think is the value of x.

Answer 7

What it means is that segment AD is perpendicular to segment BC AND BD = DC.

Answer 8

right so the equation can be x-90

Answer 9

There is no equation What is the measure of a right angle? Recall that perpendicular lines form right angles.

Answer 10

okay. but I need to find x and y

Answer 11

which I have no idea

Answer 12

Well, we are working toward finding the values of x and y. This is a process so if you would work with me on it, I would be so happy.

Answer 13

absolutely

Answer 14

Go back and look at the diagram that I uploaded.

Answer 15

anglebisectorofanisoscelestriangel.jpg

Answer 16

okay I can see you did some changes to it

Answer 17

Click on this link and read up on the measure of a right angle: http://www.mathwords.com/r/right_angle.htm

Answer 18

alright that was helpful

Answer 19

What is the measure of a right angle?

Answer 20

90 degrees

Answer 21

So, x = 90. That is part of what you asked.

Answer 22

right....I said that didn't I but instead I put x-90 it was supposed to be x=90

Answer 23

so now that we got x=90

Answer 24

Next up is this theorem:

Base angles of an isosceles triangle are congruent.

Or, you may know the theorem as:

If two sides of a triangle are congruent, then the angles opposite those sides are also congruent.

Answer 25

We are on the trail for y now.

Answer 26

When two sides are congruent, it is isosceles triangle, and the angles are always congruent.

Answer 27

Always because if you have two congruent sides, meaning they are the same length, then in order for it to be a closed triangle, the other line must always be the same