18. A two-column proof is given below.Given: LA ZDC is the midpoint of ADProve: AACB ADCEBStatementsReasons1. LA LD1. Given2. Cis the midpoint of AD2. Given3. AC CD3. Definition of Midpoint4. ZACB = LDCE4.5. AACB = ADCE5.Which of the following completes the reasons for steps 4 and 5 in the two-column preA.Reflexive Property; AASВ.Vertical Angle Theorem; SASC.Reflexive Property; ASAD.Vertical Angle Theorem ASAPage11 / 17Q +

From the table, third statement is AC≅CD because C is the midpoint ∠ACD≅∠DCE Vertical opposite…

Answered: Given: LA LD C is the midpoint of AD…

Given: LA LD C is the midpoint of AD Prove: AACB ADCE B Statements Reasons 1. ZA LD 1. Given 2. Cis the midpoint of AD 2. Given

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.3: Lines

Problem 10E

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Concept explainers

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.

Question

18. A two-column proof is given below.
Given: LA ZD
C is the midpoint of AD
Prove: AACB ADCE
B
Statements
Reasons
1. LA LD
1. Given
2. Cis the midpoint of AD
2. Given
3. AC CD
3. Definition of Midpoint
4. ZACB = LDCE
4.
5. AACB = ADCE
5.
Which of the following completes the reasons for steps 4 and 5 in the two-column pre
A.
Reflexive Property; AAS
В.
Vertical Angle Theorem; SAS
C.
Reflexive Property; ASA
D.
Vertical Angle Theorem ASA
Page
11 / 17
Q +

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