Question

Assemble the proof by dragging tiles to the statements and reasons columns

Answer 1

Answer:

Step-by-step explanation:

Given: ∠2 and ∠4 are vertical angles.

To prove: ∠2≅∠4

Proof:

Statement                                                                               Reason

1. m∠2+m∠3=180°                                             ∠2 and ∠3 form a linear pair

2. m∠3+m∠4=180°                                             ∠3 and ∠4 form a linear pair

3. From statement 1 and 2, m∠2=m∠4

and they are vertical angles.                             lines  m and n intersect at p

Therefore,   ∠2≅∠4

Hence proved.      

Answer 2

Answer: 1) <2 and <4 are vert. angles=given

2)lines m and n intersect at P=def. of vertical angles

3)<2 and <3 are a linear pair=def. of a linear pair

4)m<2 + m<3=180 = angles addition postulate

5)<3 and <4 are a linear pair =def. of a linear pair

6)m<3 + m<4=180 = angle addition postulate

7)m<2+m<3=m<3+m<4 = substitution property

8)m<2=m<4 = subtraction property

9)<2=<4 = definition of = angles

Step-by-step explanation: