Question

Determine the conditions that will make ΔZWU ≅ ΔVUW.
Which of the following statements will guarantee that ΔZWU ≅ ΔVUW?

Answer 1

nope

Answer 2

there we go

Answer 3

Quadrilateral ZWVU is a square.

Line segment ZW is parallel to line segment UV

∡ZUV and ∡WVU measure 90°.

Line segment ZU ≅ Line segment WV

Answer 4

any tips?

Answer 5

Alright. You remember the 5 ways that triangles can be proven congruent right?

Answer 6

AAS, SAS, SSS, ASA, or CPCTC?

Answer 7

Close. AAS, SAS, SSS, ASA, or HL

Answer 8

whats HL?

Answer 9

Hypotenuse Leg

Answer 10

Never heard of that one before.

Answer 11

Oh ok.

Answer 12

Now, one of those choices would make all the other statements true. Which one is that?

Answer 13

can you guide me through this step by step?

Answer 14

ehh

Answer 15

hold up

Answer 16

Quadrilateral ZWVU is a square?

Answer 17

In order to be a square, all of those other things have to be true

Answer 18

Yup. That's the correct answer. If you want a step by step, hold on.

Answer 19

well

Answer 20

A square has 90 degree angles, parallel sides

Answer 21

and congruent sides

Answer 22

And a square encompasses all of these properties

Answer 23

right?

Answer 24

can you help me out with another after this?

Answer 25

If it's a square look:
You can use a plethora of theorems to prove these congruent. For instance, being a square makes two of the sides of the triangle congruent. Then the hypotenuse is congruent because of the reflexive property. Then, all right angles are congruent. Finally, alternate interior angles prove the other angles congruent.

Answer 26

Sure.

Answer 27

k

Answer 28

ehh

Answer 29

Which fact could you use to help prove that ΔABDΔACB using Side-Side-Side?

Answer 30

∠ACB ≅ ∠DBA

Line segment DB over line segment AD is equal to line segment BC over line segment AB

Line segment AD is congruent to line segment CB.

∠BAC + ∠BCA = 90˚

Answer 31

tips?

Answer 32

forgot to give medal

Answer 33

k

Answer 34

I though AD equals CB

Answer 35

I doubt AD equals CB

Answer 36

thats just common sense

Answer 37

k

Answer 38

you there cal?

Answer 39

cal?

Answer 40

∠ACB ≅ ∠DBA

Answer 41

you don't prove angles in SSS

Answer 42

Are you proving them similar? Because the symbol is missing.

Answer 43

∠BAC + ∠BCA = 90˚

Answer 44

thats out too

Answer 45

I'm proving them similar through SSS

Answer 46

Meh. Hold on.

Answer 47

Line segment DB over line segment AD is equal to line segment BC over line segment AB

Answer 48

That seems to be the only logical answer

Answer 49

I think so too. THis kind of problem looks like the kind that's the three right triangles and the geometric mean. I think it's the second one too.

Answer 50

and your problem solving rank is lifesaver

Answer 51

I'll go with you

Answer 52

Mine is still only hatchling

Answer 53

k

Answer 54

a few more?