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Mathematics 22 Online
OpenStudy (anonymous):

Need help with geometry !

OpenStudy (anonymous):

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OpenStudy (anonymous):

Given - triangle ADE

OpenStudy (anonymous):

I'm not exactly sure what it is you are asking, but since this is geometry I would advise you to try visualizing spacial dimensions as it will make this type of math a lot easier, given you learn visually.

OpenStudy (anonymous):

Given - triangle ADE, angle A is congruent to angle D, line AE is congruent to line DE, line AC is congruent to line DB Prove - triangle ABE is congruent to triangle DCE

OpenStudy (anonymous):

yea i can see that but i tried it and it didnt look rite

Directrix (directrix):

You are given sides AE and ED to be congruent which makes the triangle isosceles with angle A congruent to angle D (base angles of an isosceles triangle are congruent). What is left for SAS Postulate as mentioned above is that you need segment AB congruent to segment CD. To get that requires a few steps. 1. AC = AB + BC and BD = BC + CD (both by Segment Addition Postulate) 2. AC = BD (given) 3.Therefore, AB + BC = BC + CD (Substitution) 4. BC = BC (Reflexive) 5. AB = CD (Subtraction Property of Equality) 6. AB is congruent to CD (Definition of Congruent Segments) Now, the triangles are congruent by SAS Triangle Congruence Postulate

OpenStudy (anonymous):

thank you this helps a lot

Directrix (directrix):

Glad to help. While visualization is important in Geometry, just looking and eyeballing will not get the job done. What is obvious still has to be proved in a Euclidean deductive Geometry. (I'm sure you know that :) )

OpenStudy (anonymous):

yess of course :D

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