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tangare [24]
3 years ago
6

A conjecture and the flowchart proof used to prove the conjecture are shown.Drag an expression or phrase to each box to complete

the proof.

Mathematics
1 answer:
Mice21 [21]3 years ago
5 0

Solution: The solution is shown is below figure.

Explanation:

From the given information JKLM is a parallelogram and \underset{LN}{\rightarrow} bisects \angle KLP. So Blank 1 is filled by Given and blank 2 is filled by \underset{LN}{\rightarrow} bisects \angle KLP.

Parallelogram is a quadrilateral  whose opposite sides are equal or parallel. Since it is given that JKLM is a parallelogram, therefore the side JM is parallel to the side KL. So blank 3 filled by Definition of parallelogram.

If a line bisects an angle it is means it divides the angle in two equal parts. Since \underset{LN}{\rightarrow} bisects \angle KLP, therefore \angle 2\cong \angle 3. Hence the blank 4 is filled by Definition of bisect.

The transitive property of congruence states that if \angle 1\cong \angle 2 and \angle 2\cong \angle 3, then \angle 1\cong \angle 3. Thus, the blank 5 is filled by Transitive Property of Congruence.

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