What is the missing reason in the proof

Asked by maham237 @ 29/12/2020 in Mathematics viewed by 311 People

What is the missing reason in the proof?
Given: ABCD with diagonal
Prove:

Statements Reasons
1.

1. Definition of parallelogram
2.

2. Alternate Interior Angles Theorem
3. 3. Definition of parallelogram
4. 4. Alternate Interior Angles Theorem
5. 5. ?
6. 6. ASA

Answered by maham237 @ 29/12/2020

It might seem silly, but it's important to say that something is equal to itself. This applies to numbers like saying 2 = 2 and it also applies to geometric lengths as well. In line 5, we say that segment DB is the same length as segment DB. In short, DB is congruent to itself. This property is known as the reflexive property of congruence. You can think of a mirror giving off a reflection which has a similar word structure to reflexive.

You are correct if you were going to select choice B as the answer.

Take any three non-collinear points a b c and draw triangle a,b,c. through each vertex of the triangle draw a line parallel to the opposite side using ruler and compass

Asked by wiki @ 15/11/2022 in Mathematics viewed by 1487 persons

What is the missing reason in the proof

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