use definitions such as bisectors, midpoints, medians, and perpendicular bisectors in order to prove triangles congruent. Complete the statement/reason proof in order to prove A PRS A PQS. (Mark the diagram, too)Task #4StatementReasonGiven:Prove:1.1.PQ É PR, PS bisects ZRPQA PRS A PQS2.2.3.Q4.4.5.R3.5.

To Determine: complete the statement Given: we have a figure in which we have two triangles…

Answered: Complete the statement/reason proof in…

Elementary Geometry for College Students

6th Edition

ISBN:9781285195698

Author:Daniel C. Alexander, Geralyn M. Koeberlein

Publisher:Daniel C. Alexander, Geralyn M. Koeberlein

Chapter10: Analytic Geometry

Section10.4: Analytic Proofs

Problem 30E: Complete an analytic proof of the following theorem: In a triangle that has sides of lengths a,b,...

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use definitions such as bisectors, midpoints, medians, and perpendicular bisectors in order to prove triangles congruent.

Complete the statement/reason proof in order to prove A PRS A PQS. (Mark the diagram, too)
Task #4
Statement
Reason
Given:
Prove:
1.
1.
PQ É PR, PS bisects ZRPQ
A PRS A PQS
2.
2.
3.
Q
4.
4.
5.
R
3.
5.

Polygon with three sides, three angles, and three vertices. Based on the properties of each side, the types of triangles are scalene (triangle with three three different lengths and three different angles), isosceles (angle with two equal sides and two equal angles), and equilateral (three equal sides and three angles of 60°). The types of angles are acute (less than 90°); obtuse (greater than 90°); and right (90°).

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