SOLUTION: I am working on Proportions and Similar Triangles. The practice question asks me to fill in proofs for the statements. The type of theorem I am working with is Side Splitter Theore
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Question 1182374: I am working on Proportions and Similar Triangles. The practice question asks me to fill in proofs for the statements. The type of theorem I am working with is Side Splitter Theorem. For the additional practices, I would like to know how the proofs are given to the statement, I understand the algebraic equations related to the theorem, but I don't understand the definition that fits perfectly with the statement. Here is the practice assignment I attempted:
Given: △QXY with RS←→∥XY←→
Prove: XR/RQ=YS/SQ
Statements:
1.△QXY with RS←→∥XY←→
2.∠1=∠3,∠2≅∠4
3.△QXY∼△QRS
4.XQRQ=YQSQ
5.XQ=XR+RQ,YQ=YS+SQ
6.XR+RQ/RQ=YS+SQ/SQ
7.XR/RQ=YS/SQ
What are the proofs for the statements? Answer by ikleyn(52817) (Show Source):
In this site, there is an entire textbook on Geometry, written by me.
See the link
https://www.algebra.com/algebra/homework/Triangles/GEOMETRY-your-online-textbook.lesson
This link leads you to the list of topics.
Among these topics, there is a topic "Similar triangles".
