Question

Prove that the base angles of an isosceles triangle are congruent. Be sure to create and name the appropriate geometric figures. PLEASE HELP!

Answer 1

@SarahEZZMcK

Answer 2

So first, let's raw a picture

Answer 3

draw* Construct an isosceles triangle and then construct a line parallel to the base

Answer 4

did u get my message?

Answer 5

yess i did

Answer 6

ok just wondering lol

Answer 7

do u want me to call back up xD

Answer 8

i need this answered ASAP

Answer 9

if you work with me I'll help you

Answer 10

okay

Answer 11

@adrynicoleb @Bandit56 @bakonloverk @Bacon. @DavidUsa @DullJackel09 @Isaiah.Feynman

Answer 12

so draw the picture, then construct a line that passes through the top point of the triangle and is parallel to the base

Answer 13

wait a sec, what have you covered up to this point, I might be using stuff you haven't learned yet

Answer 14

like this?

Answer 15

ok, is that a 3d object?

Answer 16

no

Answer 17

can you explain pt d?

Answer 18

point D is a mid-segment

Answer 19

ok, you are just over analyzing it try this for your pic(I am also going to make this a 2 step pf)

Answer 20

now that I've labelled it, construct the angle bisector for angle A

Answer 21

good so now, label that pt on BC, D. What can you tell me about ∆ADB and ∆ADC

Answer 22

i can tell you ADB and ADC are congruent

Answer 23

by what?

Answer 24

then if they are, what does that mean about angle B and angle C?

Answer 25

If they are, then Angles B and C would be congruent

Answer 26

indeed, but how do you know they are congruent, you need that piece

Answer 27

Definition of an isosceles triangle

Answer 28

not quite, the def only tells you that the two side are congruent

Answer 29

well its logic AB and BC are not congruent

Answer 30

?

Answer 31

that does not tell you anything

Answer 32

ok, how do we show two triangles are congruent?

Answer 33

there are a few methods, what are they?

Answer 34

using angles and sides

Answer 35

SSS SAS ASA

Answer 36

so, which do we have here

Answer 37

it might help if you labelled the picture the one mising piece of info

Answer 38

ASA

Answer 39

we do not have ASA

Answer 40

there is still missing info

Answer 41

remember what was AD?

Answer 42

a bisector