Question

Make a two-column proof showing statements and reasons to prove that triangle DEF is similar to triangle DEG.

Answer 1

where is the figure

Answer 2

here

Answer 3

tips?

Answer 4

can you help me with this problem?

Answer 5

k

Answer 6

tips?

Answer 7

I posted this as my proof

Answer 8

1. Angle DEG is equal to angle GFE because it is already given.
2. Side EF is seemingly similar to side ED because of the definition of corresponding sides.
3. Side DG is seemingly similar to side GF because of the definition of corresponding sides.
4. EG=EG because of the reflexive property of equality.
5. Since the triangles both have hypotenuses, they must both have right angles because of the Pythagorean theorem.
6. Since angle DEG=GFE, angle FGE=DGE, and EG=EG, it can be safe to say that the triangles are similar by the AAS Postulate.

Answer 9

is that right?

Answer 10

cal?

Answer 11

Is my proof right?

Answer 12

Well, you can't really say that they seem to be congruent because that's not a theorem. In addition, you can't sya that they're hypotenuse because there is no right angle.

Answer 13

well

Answer 14

then can I do?

Answer 15

can you give me some pointers?

Answer 16

you there, KingGeorge?

Answer 17

you guys there?

Answer 18

k

Answer 19

ehh

Answer 20

Definitely not correct. However, all you need to show similarity is two angles.

Answer 21

k

Answer 22

ehh

Answer 23

1. Angle DEG is equal to angle GFE because it is already given.

Answer 24

So which two angles can you show are congruent?

^That's one.

Answer 25

k

Answer 26

ehh

Answer 27

EG=EG reflexive property of equality

Answer 28

We're looking for an angle, not a side.

Answer 29

so, FGE and DGE

Answer 30

right?

Answer 31

the triangles share that same exact leg

Answer 32

You're looking at the wrong triangles I think. You want \[\Delta DEF, \quad \Delta DEG\]

Answer 33

wah

Answer 34

why?

Answer 35

ahh

Answer 36

Here's a hint. You can find this second pair of angles congruent by using the reflexive property.

Answer 37

so angle GDE and

Answer 38

The big one, and the next biggest one. Because that's what the problem wants...

Answer 39

angle DFE?

Answer 40

Use calc's hint. GDE and...

Answer 41

GDE and GDE?

Answer 42

GDE and GFE?

Answer 43

which is it?

Answer 44

Which one can we use the reflexive property on?

Answer 45

GDE?

Answer 46

Just in case you forgot the reflexive property, it's like this AB = AB. Which angle can be like this?

Answer 47

GDE?

Answer 48

or GED?

Answer 49

You had it right the first time. @KingGeorge We can just leave the angle as <D = <D since their's only one angle there for each triangle?

Answer 50

GDE!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answer 51

k

Answer 52

So step one

Answer 53

1. Angle DEG is equal to angle GFE because it is already given.

Answer 54

2. GDE=GDE by the reflexive property of equality?

Answer 55

@Calcmathlete yes we can just leave it like that

@luisz correct

Answer 56

ty KingGeorge

Answer 57

k

Answer 58

next problem

Answer 59

I think you left something out of the answer. You have to have your concluding statement.

Answer 60

and reason.

Answer 61

Yup, still need to finish it off. You just have the first couple steps.

Answer 62

what would the other steps be ??? @misty1212

Answer 63

@kinggeorge

Answer 64

@misty1212