Question

Help please?


What other information do you need in order to prove the triangles congruent using the SAS Congruence Postulate?

Diagram will be in the comments.

Answer 1

Diagram is not to scale.

Answer 2

SAS stands for what

Answer 3

Side-Angle-Side

Answer 4

So you need

a) 2 congruent corresponding sides
b) 2 congruent corresponding angles
c) 2 congruent corresponding sides

Where the angle is in between the sides

Answer 5

Do you see the tick marks on segments BC and CD?

Answer 6

Yes

Answer 7

they mean what

Answer 8

That they are congruent to each other.

Answer 9

More specifically, I presume that they mean that line segments BC and CD are congruent to one another.

Answer 10

that is correct

Answer 11

a) 2 congruent corresponding sides .... BC = CD
b) 2 congruent corresponding angles
c) 2 congruent corresponding sides

What else can you get from this picture?

Answer 12

The line that intersects the whole triangle, I think that the 2 corresponding angles might be either side of point A possibly.
The other 2 congruent corresponding sides may be line segments AB and AD.

Answer 13

AB may or may not be congruent to AD, there's no way of knowing or proving either way

Answer 14

Just given this info (of course, once you have proven the two triangles are congruent, then you can)

Answer 15

Then how about line segments DC and DB?

Answer 16

Okay

Answer 17

they are definitely not congruent because CD is half of BD

Answer 18

Oh okay, so it always cannot be half of a line segment, correct?

Answer 19

not sure what you mean, but because

CD = 1/2*BD

CD and BD can't be equal

Answer 20

I understand what you mean.
For the two corresponding angles, I think one is ABC. Is that possible?

Answer 21

remember, SAS means that the angle is between the two sides

Answer 22

are we using AB and BC?

Answer 23

I understand your first comment.
What exactly do you mean about using AB and BC?

Answer 24

Wouldn't point B be an angle, at least a vertex of one?

Answer 25

you agree that BC = CD right?

Answer 26

Yes

Answer 27

so that's one of the S of SAS

Answer 28

can we say that AB = AD

Answer 29

Yes

Answer 30

Wait, wouldn't it be more like BA = AD?

Answer 31

same thing AB and BA are the same

Answer 32

Okay

Answer 33

can you say that AB = AD?

Answer 34

Yes

Answer 35

why

Answer 36

Sorry, my internet stopped working and logged me off and stuff.
BC = CD and serves as one of the two corresponding angles.
AB = AD is acting in a similar way. To me, C is the middle point, just like A is acting for this particular part. Do you understand what I mean?

Answer 37

BC = CD is true because it's given (visually by the tick marks)

can we say the same about AB and AD?

Answer 38

It is not visually shown by the tick marks, but I do believe that it is true.

Answer 39

well unless you can prove it, AB and AD may be congruent or may not be congruent...there's no way to know

Answer 40

Okay I have a question. You said that for SAS we need the following:
a) 2 corresponding sides
b) 2 corresponding angles
c) 2 corresponding sides

Why is that? BC = CD counts as the first one, correct?
Since there is only one 'A' in SAS why do we need two?

Answer 41

yes BC = CD is the first S

Answer 42

in SAS

Answer 43

Nevermind, they equal each other right?

Answer 44

A stands for Angles (ie you need a pair of congruent corresponding angles)