Fill in the blanks using the answer choices provided in the image

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.4: Mathematical Induction
Problem 46E
icon
Related questions
Question

Fill in the blanks using the answer choices provided in the image 

In the following triangle, point O is the midpoint of LM, and point Pis the midpoint of LN.
L.
2 of 5
Below is the proof that OP | MN. The proof is divided into four parts, where the title of each part
indicates its main purpose.
Complete part A of the proof.
LM
Part A: Prove
2
LO
Statement
Reason
1
LO = OM
Definition of midpoint
LM = LO+ Pick length v
Segment addition postulate
LM = LO+ Pick length v
Substitution (1, 2)
LM
Pick value v
Divide both sides by LO. (3)
LO
LO = OM
Part A: Prove
v Pick length
LM = LO+ Pick length v
LO
Statement
LM = LO+ v Pick length
LO = OM
LP
3.
1
LM
4
LO
LP
LM = LO+
PN
Pic
OP
3
LM = LO+ Pick length
· OM
LM
Tart TIVT
v Pick value
LN
Part B: Prove
= 2
LP
Stateme
1
[Show the steps.]
1
LO =
1/LO
Part C: Prove ALMN ~ ALOP
LM
h v
2
[Show the steps.)
LM
2/LO
h v
Part D: Prove OP || MN
[Show the steps]
LM
4
Pick value v
LO
Transcribed Image Text:In the following triangle, point O is the midpoint of LM, and point Pis the midpoint of LN. L. 2 of 5 Below is the proof that OP | MN. The proof is divided into four parts, where the title of each part indicates its main purpose. Complete part A of the proof. LM Part A: Prove 2 LO Statement Reason 1 LO = OM Definition of midpoint LM = LO+ Pick length v Segment addition postulate LM = LO+ Pick length v Substitution (1, 2) LM Pick value v Divide both sides by LO. (3) LO LO = OM Part A: Prove v Pick length LM = LO+ Pick length v LO Statement LM = LO+ v Pick length LO = OM LP 3. 1 LM 4 LO LP LM = LO+ PN Pic OP 3 LM = LO+ Pick length · OM LM Tart TIVT v Pick value LN Part B: Prove = 2 LP Stateme 1 [Show the steps.] 1 LO = 1/LO Part C: Prove ALMN ~ ALOP LM h v 2 [Show the steps.) LM 2/LO h v Part D: Prove OP || MN [Show the steps] LM 4 Pick value v LO
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Knowledge Booster
Laplace Transformation
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, geometry and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage