SOLUTION: I was wondering if you could help me prove that Rstq (a rhombus) is a rhombus
The given is that rstq is a quadrilateral and that angle srt in congruent to angle str and angle str
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-> SOLUTION: I was wondering if you could help me prove that Rstq (a rhombus) is a rhombus
The given is that rstq is a quadrilateral and that angle srt in congruent to angle str and angle str
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Question 547047: I was wondering if you could help me prove that Rstq (a rhombus) is a rhombus
The given is that rstq is a quadrilateral and that angle srt in congruent to angle str and angle str is congurent to rtq and angle rtq is congurent to trq and the rhombus looks like__s
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and could you set it up as a two column proof please? Answer by solver91311(24713) (Show Source):
I'll give you the strategy and you can set up your own two-column proof.
Angle SRT is given congruent to Angle STR, so go find the converse of the theorem that says the two base angles of an isosceles triangle are equal to be able to say that the two sides opposite the two given congruent angles are congruent. Do the same thing for the lower triangle. Then using Angle-Side-Angle (the side being the segment RT which is congruent to itself by Reflexive Congruence) show that the upper and lower triangles are congruent. Then by CPCTC, all four sides of the quadrilateral are congruent. Therefore, a rhombus. QED.
John
My calculator said it, I believe it, that settles it
