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Geography, 02.12.2020 21:30 paulandigi

PLEASE HELP WILL RATE THE BRAINLIEST 1.He makes the following table to prove that the alternate interior angles are equal:

Statement Justification
angle 2 = angle 6 ?
angle 2 = angle 4 Vertical angles are congruent.
angle 4 = angle 6 transitive property of equality,
angle 2 = angle 6,
angle 2 = angle 4,
therefore angle 4 = angle 6

Which is the missing justification? (6 points)

Group of answer choices

Co-exterior angles formed by a transversal on parallel lines are congruent.

Corresponding angles formed by a transversal on parallel lines are congruent.

Co-interior angles formed by a transversal on parallel lines are congruent.

Corresponding angles formed by a transversal on parallel lines are supplementary.

2.The sum of angle 1 and angle 4 and the sum of angle 3 and angle 4 are each equal to 180 degrees by the definition of supplementary angles. The sum of angle 1 and angle 4 is equal to the sum of angle 3 and angle 4 by the transitive property of equality. Angle 1 is equal to angle 3 .

Which phrase completes the proof? (6 points)

Group of answer choices

by construction using a straightedge

by the subtraction property of equality

by the definition of a perpendicular bisector

by the vertical angles theorem

3.Joel's proof: angle 2 + angle 3=180° (t is a straight line)
angle 1 + angle 2 = 180° (PQ is a straight line)
Therefore, angle 1 + angle 2 = angle 2 + angle 3 (Transitive Property of Equality)
Hence, angle 1 = angle 3 (Subtraction Property of Equality)

Melinda's proof: angle 1 + angle 2 + angle 3 + angle 4 = 360°
Therefore, angle 1 + angle 4 = 180° (t is a straight line)
Hence, angle 4 = angle 2 (Transitive Property of Equality)

Which statement is correct? (6 points)

Group of answer choices

Only Joel's proof is correct.

Only Melinda's proof is correct.

Both Joel's and Melinda's proofs are incorrect.

Both Joel's and Melinda's proofs are correct.

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Answers: 2

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