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Chapter 2: Q2 (page 40)

Justify each statement with a property from algebra or property of congruence.

If AB炉鈮�CD炉and DC炉鈮�EP炉then AB炉鈮�EP炉.

Short Answer

Expert verified

From the property of congruence, it is proved that AB炉鈮�EF炉.

Step by step solution

01

Step 1. Transitive property of congruence.

IfPQ炉鈮�MN炉 and MN炉鈮�RS炉then PQ炉鈮�RS炉.

02

Step 2. Apply the property.

Apply transitive property of congruence to the given sides, that is, to the sides, AB炉, CD炉andEF炉.

03

Step 3. Apply the property.

Therefore, AB炉鈮�CD炉,CD炉鈮�EF炉gives AB炉鈮�EF炉.

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Most popular questions from this chapter

State which definition, postulate, or theorem justifies the statement about the diagram.

If AD鈫� bisects 鈭�BAC, then 鈭�1鈮�鈭�2 .

State which postulate, definition, or theorem justifies the statement about the diagram.

If D is the midpoint of BC炉, then BD炉鈮�DC炉.

Mention what can be deduced from the given information.

Given: AE=DEand CE=BE

State the hypothesis and the conclusion of each conditional.

implies

Justify each statement with a property from algebra or property of congruence.

2a+b=2a+2b
See all solutions

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