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

Step-by-step explanation:

Answer 2

Answer:

1.

Statement: <2 and <4 are vert. angles

Reason: Given

2.

Statement: Lines m and n intersect at P

Reason: Def. of vertical angles

3.

Statement: m<2 + m<3 are a linear pair

Reason: Def. of a linear pair

4.

Statement: m<2 + m<3 = 180

Reason: Angle addition postulate

5.

Statement: <3 and <4 are a linear pair

Reason: Def. of a linear pair

6.

Statement: m<3 + m<4 = 180

Reason: Angle addition postulate

7.

Statement: m<2 + m<3 = m<3 + m<4

Reason: Substitution property

8.

Statement: m<2 = m<4

Reason: Subtraction property

9.

Statement: <2 ≅ <4

Reason: Definition of ≅ angles