Question

Seth is using the figure shown below to prove the Pythagorean Theorem using triangle similarity:

In the given triangle DEF, angle D is 90° and segment DG is perpendicular to segment EF.

The figure shows triangle DEF with right angle at D and segment DG. Point G is on side EF.

Part A: Identify a pair of similar triangles.

Part B: Explain how you know the triangles from Part A are similar.

Part C: If EG = 2 and EF = 8, find the length of segment ED. Show your work.

Answer 1

if you draw it out it helps alot

Answer 2

i still dont understand it

Answer 3

Okay well do you at leastget why I made the drawing

Answer 4

yes i do

Answer 5

i just dont know the answers to the questions

Answer 6

Okay can you explain why you know the drawing is correct?

Answer 7

the drawing is here on my paper too, and u drew exactly whats on the paper so ofc its correct but how do i find the pair of similar triangles

Answer 8

You can identify a similar triangle when it looks alike
What are two angle measures that look alike?
*hint: we split two trangles in half with the line DG*

Answer 9

whew im super bad at this.. since its split in half would that make DE and DF or am
i thinking about it wrong

Answer 10

A triangle has the name
DEF:
which means the corners of the triangles land on the D, E, and F.
do u understand?

Answer 11

yes so overall what should i put for part A

Answer 12

Part A:
I will give you three choices
a)EDF and DGF
b)DEF and FED
c)DEG and DGF
d)EDG and DEF

Answer 13

D?

Answer 14

No, they do not have the same size.

Answer 15

egd and fgd

Answer 16

Yes correct!

Answer 17

is part c 4?

Answer 18

or no?

Answer 19

Moving onto Part b)

Answer 20

What do you think?

Answer 21

Okay, i know they are the same size

Answer 22

which makes them similar

Answer 23

?

Answer 24

Yes

Answer 25

okay and then for part c i came up with 4

Answer 26

for the length of ED

Answer 27

is that 64?

Answer 28

so that would make part c answer..

Answer 29

What do you think lol?

Answer 30

honestly im not sure..lol i think 4

Answer 31

?

Answer 32

No lol where did you get four from

Answer 33

idek im super confused

Answer 34

out of what numbers would it be

Answer 35

2 sqrt(2)

Answer 36

\[2\sqrt{2}\]

Answer 37

6?

Answer 38

\(\color{#0cbb34}{\text{Originally Posted by}}\) @lowkey
\[2\sqrt{2}\]
\(\color{#0cbb34}{\text{End of Quote}}\)

Answer 39

2.8......

Answer 40

yes lmao

Answer 41

okay could you help me with one more that im going to post? i have to be finished soon lol

Answer 42

Sorry I gtg lol <3 @dude