Question

Write the converse, inverse and contrapositive of each conditional statement, and tell if the resulting statement is True or false

2. If mA = 100, then is not a right angle.
Converse:
Inverse:
Contrapositive:​

Answer 1

See below.

Explanation:

It's good to recall what these terms mean:

Conditional statement: if p then q

Converse: if q then p

Inverse: if not p then not q

Contrapositive: if not q then not p

Conditional statement:

If m<A = 100, then <A is not a right angle.

p = m<A = 100

q = <A is not a right angle

Converse:

If angle A is not a right angle, then m<A = 100.

False. An angle that is not a right angle can have many measures other than 100 degrees.

Inverse:

If the measure of <A is not 100 degrees, then <A is a right angle.

False. If an angle has a measure of other that 100 degrees, it can have many measures in addition to 90 degrees, so it is not necessarily a right angle.

Contrapositive:

If angle A is a right angle, then m<A is not 100 degrees.

True. Only a right angle has a measure of 90 degrees, so an angle with measure 100 deg cannot be a right angle.