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Mathematics 10 Online
taivin98:

Given: the coordinate of isosceles trapezoid JKLm are (J-b,c), K(b,c), L(a,o, and M(-a,o). Prove: the diaginols of an isosceles trapezoid are congruent.

Vocaloid:

let's start off with a sketch of the situation:

Vocaloid:

|dw:1499996733652:dw|

taivin98:

correct except that JL has the emphasized line across it...

Vocaloid:

hm

Vocaloid:

|dw:1499996924976:dw|

Vocaloid:

|dw:1499996999703:dw|

Vocaloid:

I'm not sure what you mean by "emphasized line"?

Vocaloid:

|dw:1499997038983:dw|

taivin98:

I can't get my computer to copy the figure but the paraellogram isosceles had a diaginal straight domn the center andd than line ML has a extended ling with arrow ends the rest off the figure is just that same as you drew except the middle horizontal you drew is on the line on the bottome

Vocaloid:

can you take a screenshot? on windows it's alt-print-screen and on mac it's command shift 4 I think

Vocaloid:

|dw:1499997241950:dw|

taivin98:

yes...I want to know how to do it...

1 attachment
taivin98:

Well, that wasn't it...but your pic is corrent.

Vocaloid:

|dw:1499997419434:dw|

taivin98:

Yes

Vocaloid:

from the way the coordinates are specified, the shape is symmetric about the y-axis, so...:

Vocaloid:

|dw:1499997462231:dw|

taivin98:

The question is to what formula would you use to get the answer and yes that's what itlooks like.

Vocaloid:

if you compare the two triangles outlined in black, they share: one side (the bottom) another side (the sides marked with double hash marks) and the angle between them

Vocaloid:

so that would be SAS congruence theorem

Vocaloid:

there's a way to prove this by mathematics but it's a bit more work

taivin98:

The formulas all resemble pythagorean theorum in different states.

Vocaloid:

hm

Vocaloid:

|dw:1499997641707:dw|

taivin98:

Oh find the length of line JL...sorry

Vocaloid:

using the coordinates given, you could give the formula for a^2 + b^2 = c^2 in terms of the coordinates

Vocaloid:

|dw:1499997729618:dw|

Vocaloid:

|dw:1499997764806:dw|

taivin98:

Thank you, I saw that but they were all jumbled with some negative and the specific line would have cut across to measure the hyp of LMJ

taivin98:

Your capital letters were all placed the right way in the first drawing you made

Vocaloid:

ahh I see is it clear how to get the answer now? or do you still need some more help?

taivin98:

Yes, Thank you :)

Allison:

Medal Vocalll :3

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