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Mathematics 10 Online
jasonmitchell:

https://imgur.com/a/9uxI4EH https://i.imgur.com/yth53e9.jpg

jasonmitchell:

@563blackghost @dude

jasonmitchell:

@563blackghost

Falconmaster:

Sorry bud the links are blocked maybe you can copy paste the images?

jasonmitchell:

Falconmaster:

Thanks man

Falconmaster:

thye are congruent because they can be reflected onto its self

jasonmitchell:

ok what else

Falconmaster:

not sure about the 2nd one to the 1st question

Falconmaster:

so blank 1 yes

Falconmaster:

blank 2 is that it can be reflected onto its self

jasonmitchell:

3 AND 4

Falconmaster:

im not sure about that part @Shadow do you know?

jasonmitchell:

@SmokeyBrown

Falconmaster:

Sorry about that

SmokeyBrown:

Oh, it'd be the Side-Side-Side theorem, right? The two triangles have congruent sides AD and CD are congruent, because it's given. BD is shared by the two triangles AB and BC are congruent because B is stated to be the midpoint of AC

Falconmaster:

Thank you smokey

jasonmitchell:

ok smoke could you go in order with 1, 2, 3, and 4 if you would please

SmokeyBrown:

So, for 1, I'd disagree, because even though AB is congruent with BC and BD is shared, it's not stated that the angle between these two sides is equal for both triangles. I know that it's drawn to look like a right angle, but we can't assume that unless it's represented in the figure. That'd be my explanation for 2. For 3, the triangles would be congruent by the Side-side-side theorem. And for 4, you can refer to my explanation about the congruent sides

jasonmitchell:

@SmokeyBrown what do i say for 4 exactly

jasonmitchell:

kind of lost me there

jasonmitchell:

@SmokeyBrown

SmokeyBrown:

Well, the side-side-side theorem just requires that the two triangles have three sides of equal length. You know this is true. AD is equal to DC because the problem says so. BD is equal to BD because they are the same line. AB is equal to BC because point B is the midpoint of segment AC; in other words, it splits the segment equally in half. So, there you have your lines of equal length.

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