A. Complete the two-column proof of the Pythagorean theorem by providing the reasons. M V. K. Given: ALMN is a right triangle; ZM is a right angle. Prove: r+s = t?

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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Question
A. Complete the two-column proof of the
Pythagorean theorem by providing
the reasons.
M
K
Given: ALMN is a right triangle;
ZM is a right angle.
Prove: r + s = t
Reason
Statement
ALMN is a right triangle;
ZM is a right angle.
(1)
(2)
ΔΙΜΝ-ΔΜΚΝ-ΔΙΚΜ
I and
(3)
%3!
%3D
(4)
r= ut and s' = vt
pi+s = ut + s
r+s = ut + vt
(5)
(6)
r+s = t(u + v)
%3D
(7)
P+s=t(t)
Transcribed Image Text:A. Complete the two-column proof of the Pythagorean theorem by providing the reasons. M K Given: ALMN is a right triangle; ZM is a right angle. Prove: r + s = t Reason Statement ALMN is a right triangle; ZM is a right angle. (1) (2) ΔΙΜΝ-ΔΜΚΝ-ΔΙΚΜ I and (3) %3! %3D (4) r= ut and s' = vt pi+s = ut + s r+s = ut + vt (5) (6) r+s = t(u + v) %3D (7) P+s=t(t)
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