Can somebody clarify my reasoning, I have the answer but I need help explaining.

Triangle ABC is congruent to triangle DEF. In triangle ABC, side AB measures 4, side BC measures x+8, and side CA measures 8. In triangle DEF, side DE measures 4, side EF measures 3x+3, and side FD measures 8. What equation would help you to solve for the side length of BC and EF? Explain your reasoning using complete sentences.

Answer:So when I try to solve this I try to use a certain equation when I solve it. I drew out the figures to make ann easier comparison to see the figures.

Question

Can somebody clarify my reasoning, I have the answer but I need help explaining.

Triangle ABC is congruent to triangle DEF. In triangle ABC, side AB measures 4, side BC measures x+8, and side CA measures 8. In triangle DEF, side DE measures 4, side EF measures 3x+3, and side FD measures 8. What equation would help you to solve for the side length of BC and EF? Explain your reasoning using complete sentences.

Answer:So when I try to solve this I try to use a certain equation when I solve it. I drew out the figures to make ann easier comparison to see the figures.

anonymous · Answer

So when I try to solve this I try to use a certain equation when I solve it. I drew out the figures to make ann easier comparison to see the figures. 

I would use the equation equation +8 = 3x+3 
-2x = -5 
x = 2.5 

EF = 10.5

terenzreignz · Answer

Use the key-sentence CPCTC
:> 
Corresponding parts of congruent triangles are congruent

anonymous · Answer

but I how do In apply that, can you explain that tio me

terenzreignz · Answer

Of course ^^
First, I want to be sure you understand the gist of that sentence "CPCTC"

What it means is that if a pair of triangles are congruent, then their individual parts must be congruent also.

In symbols...

terenzreignz · Answer

$$\Large ABC \cong DEF$$
Because CPCTC...
This can only mean
$$\Large AB \cong DE\\Large BC\cong EF\\Large AC\cong DF$$

anonymous · Answer

dude thank, I will fan you, you're awesome, total lifesaver

terenzreignz · Answer

As long as you're sure you got it from here, I'll be satisfied ^^

anonymous · Answer

Hey can you help me with a problem that I'm stumpped with, I'm looking at the lesson and some notes and I cant seem to get the right problem

terenzreignz · Answer

@harris.mcallister2 sorry connection lag.

Sure, let's have a look at it ^_^

anonymous · Answer

Matt is constructing two similar triangles for an art project. The drawing below shows Matt's plans, but there is an error in his drawing. What changes would he make to the dimensions to change the error? Explain your reasoning using complete sentences.

anonymous · Answer

attachment

anonymous · Answer

This one I am finding a it hard

anonymous · Answer

are you like one of those Hardcore Math gurus that Have a doctors in Math from MIT? you're good