Question

Need help with geometry, fan and medal!

Answer 1

i got ya

Answer 2

The figure below shows triangle NRM with r2 = m2 + n2:

Answer 3

Ben constructed a right triangle EFD with legs m and n, as shown below:

Answer 4

I suppose you mean \[r^2=m^2+n^2\]

Answer 5

He made the following table to prove that triangle NRM is a right triangle:

Answer 6

Statement Reason
1. r2 = m2 + n2 Given
2. f2 = m2 + n2 Pythagorean Theorem
3. f2 = r2 Substitution
4. f = r Square Root Property of Equality
5. Triangle NRM is congruent to triangle EFD SSS Postulate
6. Angle NRM is a right angle ?
7. Triangle NRM is a right triangle Angle NRM is a right angle

Which reason best fits statement 6?

Answer 7

okay

Answer 8

Triangle Proportionality Theorem
All sides of both the triangles are equal
Corresponding parts of congruent triangles are congruent
Triangle EFD has two angles which measure less than 90°

Answer 9

any clue?

Answer 10

it is SAS postulate not sss

Answer 11

Not necessarily ^ you can use SSS, if you say that f and r are equal through CPCTC

Answer 12

I didn't make this chart, there shouldn't be any mistakes, I just need to know which best goes for statement 6

Answer 13

okay

Answer 14

Ummmm
Not sure if any of these are the best answer possible
It is obvious that it is a right angle through that you can only use pythagorean theorem on right angled triangles...
So I'm not really sure

Answer 15

since both triangle are congruent then NRM is SSS

Answer 16

does that go into any of my answer choices? Im really lost

Answer 17

I mean no .6

Answer 18

Do you know what would justify that NRM is a right angle though?

Answer 19

As far as I can tell it's none of those choices @dontknowdontcare
none of them prove angular stuff
The first one has to do with similarity
The second is just SSS which doesn't get us anwhere
CPCTC is useless because we haven't established that it is a right angle in any triangle
The 4th could be applied to equilateral triangles as well

Answer 20

So I honestly dont know

Answer 21

Thanks for trying I'll just guess and if i figure out the answer ill post it :/

Answer 22

Alright thanks^ because I'm curious too

Answer 23

Only the key steps are given in the proof which makes the logic difficult to follow in some steps.

Of the options, I would go for: Corresponding parts of congruent triangles are congruent

That comes right after proving the triangles congruent.

Vertex R corresponds to vertex F which is the vertex of a right angle.

That means that <R is congruent to <F which has measure 90.
That gives <R a measure of 90 which makes it a right angle by definition of right angle.

@dontknowdontcare

Answer 24

@Directrix you were right it was C @Brill

Answer 25

Alright thanks

Answer 26

Thanks for letting me know.

Answer 27

can you help me with a few more? @Directrix