use definitions such as bisectors, midpoints, medians, and perpendicular bisectors in order to prove triangles congruent. Use these statements and reasons below. Not every statement wll be usedTask #3ALMN A PONGivenZMNL á ZONPComplete the proof below using the statementsand reasons from the word box in order toNis the midpoint of MOLNÁPNDefinition of midpointLMÉOPGivenSSSássproveA LMN A PON. (Mark the diagram, too)MNÁNOGivenVertical anglesGiven:Prove:N is the midpoint of MO,A LMN A PONStatementReasonLMÉOP, LNÉPN1.1.M2.2.3.3.4.5.5.4.

Given: LM=OP, LN=PNand N is the midpoint of MO. To prove: △LMN≅△PON. Concept used: If all the…

Answered: Use these statements and reasons below.…

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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

Use these statements and reasons below. Not every statement wll be used
Task #3
ALMN A PON
Given
ZMNL á ZONP
Complete the proof below using the statements
and reasons from the word box in order to
Nis the midpoint of MO
LNÁPN
Definition of midpoint
LMÉOP
Given
SSSáss
proveA LMN A PON. (Mark the diagram, too)
MNÁNO
Given
Vertical angles
Given:
Prove:
N is the midpoint of MO,
A LMN A PON
Statement
Reason
LMÉOP, LNÉPN
1.
1.
M
2.
2.
3.
3.
4.
5.
5.
4.

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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