Use the information and diagram to complete the problem. Given: J is the midpoint of HL. AHIJ and ALKJ are right triangles. IJ~ KJ Prove: AHIJ ALKJ FOR K H L

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter4: Quadrilaterals
Section4.4: The Trapezoid
Problem 22E: In trapezoid RSTV, RVST,mSRV=90, and M and N are midpoints of the nonparallel sides. a What type of...
icon
Related questions
Question
The question is in the image.
Use the information and diagram to complete the problem.
Given:
Prove:
J is the midpoint of HL.
AHIJ and ALKJ are right triangles.
IJ KJ
AHIJALKJ
©2019 Strong Mind. Created using GeoGebra.
K
H
Match each statement in the proof with the correct reason.
J
L
Transcribed Image Text:Use the information and diagram to complete the problem. Given: Prove: J is the midpoint of HL. AHIJ and ALKJ are right triangles. IJ KJ AHIJALKJ ©2019 Strong Mind. Created using GeoGebra. K H Match each statement in the proof with the correct reason. J L
Match each statement in the proof with the correct reason.
1. J is the midpoint of HL.
AHIJ and ALKJ are right triangles.
IJ KJ
2. J bisects HL.
3. HJ~ LJ
4. AHIJALKJ
:: Definition of bisect
:: Reflexive Property of Congruence
:: Definition of congruence
Given
Definition of midpoint
HL Congruence Theorem
:: AAS Congruence Theorem
Transcribed Image Text:Match each statement in the proof with the correct reason. 1. J is the midpoint of HL. AHIJ and ALKJ are right triangles. IJ KJ 2. J bisects HL. 3. HJ~ LJ 4. AHIJALKJ :: Definition of bisect :: Reflexive Property of Congruence :: Definition of congruence Given Definition of midpoint HL Congruence Theorem :: AAS Congruence Theorem
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Similar questions
Recommended textbooks for you
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Elementary Geometry for College Students
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
PREALGEBRA
PREALGEBRA
Algebra
ISBN:
9781938168994
Author:
OpenStax
Publisher:
OpenStax
Elementary Algebra
Elementary Algebra
Algebra
ISBN:
9780998625713
Author:
Lynn Marecek, MaryAnne Anthony-Smith
Publisher:
OpenStax - Rice University