Maths-

General

Easy

Question

# Write the converse and biconditional statement for the given conditional statement.

If a triangle is equilateral, then it is equiangular.

Hint:

### The converse of a statement is formed by switching the hypothesis and the conclusion. The converse of "if *p*, then *q*" is "if *q*, then *p*."

¶A biconditional statement is a logic statement that includes the phrase, "if and only if," sometimes abbreviated as "if." The logical biconditional statement can be written as p if q, p if and only if q, p ↔ q

## The correct answer is: Converse statement: If a triangle is equiangular, then it is equilateral. Biconditional statement: Triangle is equiangular, if and only if Triangle is equiangular.

### It is given

p: Triangle is equilateral.

q: Triangle is equiangular.

Conditional statement of p → q is given as “If a triangle is equilateral, then it is equiangular. ”

Converse statement of p → q is q → p and it is written as “ If a triangle is equiangular, then it is equilateral. ”

Biconditional statement of p → q is p ↔ q“ Triangle is equiangular, if and only if Triangle is equiangular. ”

Final Answer:

Converse statement: If a triangle is equiangular, then it is equilateral.

Biconditional statement: Triangle is equiangular, if and only if Triangle is equiangular.

.

### Related Questions to study

Maths-

### Check, whether the following equation has exactly one solution or infinitely many solution or no solution. 4x - 5 = 2(2x - 1) – 3

### Check, whether the following equation has exactly one solution or infinitely many solution or no solution. 4x - 5 = 2(2x - 1) – 3

Maths-General

Maths-

### The system of equations 3x - 5y = 20 ; 6x - 10y = 40 has

### The system of equations 3x - 5y = 20 ; 6x - 10y = 40 has

Maths-General

Maths-

### Describe the pattern in the numbers. Write the next number in the pattern.

7, 3.5, 1.75, 0.875, …

### Describe the pattern in the numbers. Write the next number in the pattern.

7, 3.5, 1.75, 0.875, …

Maths-General

Maths-

### Check, whether the following equation has exactly one solution or infinitely many solution or no solution. 4x - 3 = 2x + 13

### Check, whether the following equation has exactly one solution or infinitely many solution or no solution. 4x - 3 = 2x + 13

Maths-General

Maths-

### Describe the pattern in the numbers. Write the next number in the pattern.

5, − 2, − 9, − 16, …

### Describe the pattern in the numbers. Write the next number in the pattern.

5, − 2, − 9, − 16, …

Maths-General

Maths-

Use the Law of Detachment to make a valid conclusion in the true situation. Alex goes to the park every Sunday evening. Today is Sunday.

Use the Law of Detachment to make a valid conclusion in the true situation. Alex goes to the park every Sunday evening. Today is Sunday.

Maths-General

Maths-

### For which of the values of a and b will the following pair of linear equations has infinitely many solutions x + 2y = 1; (a - b)x + (a + b)y = a + b - 2

a) a = - 3 , b = 1

b) a = 3 , b = 1

c) a = 2 , b = 2

d) None of the above

### For which of the values of a and b will the following pair of linear equations has infinitely many solutions x + 2y = 1; (a - b)x + (a + b)y = a + b - 2

a) a = - 3 , b = 1

b) a = 3 , b = 1

c) a = 2 , b = 2

d) None of the above

Maths-General

Maths-

### Describe the pattern in the numbers. Write the next number in the pattern.

3, 1, 1/3, 1/9, …

### Describe the pattern in the numbers. Write the next number in the pattern.

3, 1, 1/3, 1/9, …

Maths-General

Maths-

### In An academic contest, the Correct answer earns 12 points and the incorrect answer loses 5 points. In the final round, School A starts with 165 points and gives the same number of correct and incorrect answers. School B starts with 65 points and gives no incorrect answers and the same number of correct answers as school A. The game ends with the two schools tied. Find

b) How many answers did each school get correct in the final round?

### In An academic contest, the Correct answer earns 12 points and the incorrect answer loses 5 points. In the final round, School A starts with 165 points and gives the same number of correct and incorrect answers. School B starts with 65 points and gives no incorrect answers and the same number of correct answers as school A. The game ends with the two schools tied. Find

b) How many answers did each school get correct in the final round?

Maths-General

Maths-

### Classify the linear equations x = 2y and, y = 2x as having one solution, no solution or infinitely many solutions.

### Classify the linear equations x = 2y and, y = 2x as having one solution, no solution or infinitely many solutions.

Maths-General

Maths-

### In An academic contest, the Correct answer earns 12 points and the incorrect answer loses 5 points. In the final round, School A starts with 165 points and gives the same number of correct and incorrect answers. School B starts with 65 points and gives no incorrect answers and the same number of correct answers as school A. The game ends with the two schools tied. Find

a) Frame the equation which models the scoring in the final round and the outcome of the contest?

### In An academic contest, the Correct answer earns 12 points and the incorrect answer loses 5 points. In the final round, School A starts with 165 points and gives the same number of correct and incorrect answers. School B starts with 65 points and gives no incorrect answers and the same number of correct answers as school A. The game ends with the two schools tied. Find

a) Frame the equation which models the scoring in the final round and the outcome of the contest?

Maths-General

Maths-

### Use the Law of Detachment to make a valid conclusion in the true situation. If two lines are perpendicular, they form a right angle.

### Use the Law of Detachment to make a valid conclusion in the true situation. If two lines are perpendicular, they form a right angle.

Maths-General

Maths-

### Classify the linear equations x - 3y = 3 , 3x - 9y = 2 as having one solution , no solution or infinitely many solutions .

### Classify the linear equations x - 3y = 3 , 3x - 9y = 2 as having one solution , no solution or infinitely many solutions .

Maths-General

Maths-

### Describe the pattern in the numbers. Write the next number in the pattern.

1, 3/4, 1/2, 1/4, …

### Describe the pattern in the numbers. Write the next number in the pattern.

1, 3/4, 1/2, 1/4, …

Maths-General

Maths-

### Classify the equation 2x + 1 - 4 = -2x - 3 as having one solution , no solution or infinitely many solutions .

### Classify the equation 2x + 1 - 4 = -2x - 3 as having one solution , no solution or infinitely many solutions .

Maths-General