Question

Select the converse, inverse, and contrapositive of this theorem. If two lines intersect, then the vertical angles formed are equal.

1) If the vertical angles are not equal, then lines do not intersect.

2) If the two lines do not intersect, then the vertical angles are not equal.

3) If the vertical angles are equal, then the two lines intersect.

options: (use one for each statement)
Converse
Inverse
Contrapostive​

Answer 1

`\boxed{\large{\bold{\blue{ANSWER~:) }}}}`

◇
`sentence:-`

If two lines intersect, then the vertical angles formed are equal.

1) If the vertical angles are not equal, then lines do not intersect.

◇
`\sf{it is CONTRAPOSITIVE}`

2) If the two lines do not intersect, then the vertical angles are not equal.

◇
`\sf{it is INVERSE}`

3) If the vertical angles are equal, then the two lines intersect.

◇
`\sf{it is CONVERSE}`

Answer 2

sentence:-

If two lines intersect, then the vertical angles formed are equal.

• p
  `\bold{\dashrightarrow}`q

1) If the vertical angles are not equal, then lines do not intersect.

• it is CONTRAPOSITIVE
• ~q
  `\bold{\dashrightarrow}`~p

2) If the two lines do not intersect, then the vertical angles are not equal.

• it is INVERSE
• ~p
  `\bold{\dashrightarrow}`~q

3) If the vertical angles are equal, then the two lines intersect.

• it is CONVERSE
• q
  `\bold{\dashrightarrow}`p