1- If two angles have equal measures, then the angles are congruent.
True
False

2- Write the converse of the conditional in problem 1.

3- Is the converse from problem 2 true?

Question

05-12-2017
Mathematics

contestada

1- If two angles have equal measures, then the angles are congruent.
True
False

2- Write the converse of the conditional in problem 1.

3- Is the converse from problem 2 true?

Respuesta :

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ColinJacobus ColinJacobus · Answer 1 · 2019-10-16T07:14:25+02:00

Answer: The answers are

(1) True

(2) "If two angles are congruent, then they have equal measures."

(3) True.

Step-by-step explanation: We are given the following conditional statement :

" If two angles have equal measures, then the angles are congruent."

We are to

(1) check whether the statement is true or false.

(2) write the converse of the given conditional statement.

(3) check whether the converse is true or false.

We know that

Any two angles are congruent if and only if they have equal measures.

So, the given statement is obviously true.

Also, the converse of a conditional statement "if p, then q" is "if q then p".

Therefore, the converse is

"If two angles are congruent, then they have equal measures."

Since the statement is true both ways, so the converse is also true.

Thus, the answers are

(1) True

(2) "If two angles are congruent, then they have equal measures."

(3) True.

abidemiokin abidemiokin · Answer 2 · 2022-02-24T11:03:47+01:00

The statement that if two angles have equal measures, then the angles are congruent is TRUE

"If two angles are congruent, then they have equal measures."

The converse in problem 2 is True.

Conditional statements

We are given the following conditional statement :

" If two angles have equal measures, then the angles are congruent."

We are to determine whether the statement is true or false, write the converse of the given conditional statement and also determine whether the converse is true or false.

Congruency also connotes equality, hence the statement that if two angles have equal measures, then the angles are congruent is TRUE

Also, the converse of a conditional statement "if p, then q" is "if q then p".

Therefore, the converse is "If two angles are congruent, then they have equal measures."

Since the statement is true both ways, the converse is also true.

Learn more on converse of statement here: https://brainly.com/question/1287478

1- If two angles have equal measures, then the angles are congruent. True False 2- Write the converse of the conditional in problem 1. 3- Is the converse from problem 2 true?

Respuesta :

Conditional statements

Otras preguntas

1- If two angles have equal measures, then the angles are congruent.
True
False

2- Write the converse of the conditional in problem 1.

3- Is the converse from problem 2 true?