Maths-

General

Easy

Question

# Explain how you can prove that AB = CD

Hint:

### Find the congruence rule used and then find the equal sides.

## The correct answer is: ⇒ AB = DC (corresponding parts of congruent triangles)

### Complete step by step solution:

Consider 2 triangles, and

From the figure, we have

AE = DE (given)

BE = CE (given)

(vertically opposite angles)

∴ △AEB ⩭ △DEC by SAS congruence rule.

⇒ AB = DC (corresponding parts of congruent triangles)

### Related Questions to study

Maths-

### Show the conjecture is false by finding a counterexample. All prime numbers are odd.

### Show the conjecture is false by finding a counterexample. All prime numbers are odd.

Maths-General

Maths-

### Solve

### Solve

Maths-General

Maths-

### Complete the conjecture. The sum of the first n odd positive integers is ____.

### Complete the conjecture. The sum of the first n odd positive integers is ____.

Maths-General

Maths-

### Use the Law of Syllogism to write a new conditional statement that follows from the pair of true statements.

If an element is in set A, then it is in set B.

If an element is in set C, then it is in set A.

### Use the Law of Syllogism to write a new conditional statement that follows from the pair of true statements.

If an element is in set A, then it is in set B.

If an element is in set C, then it is in set A.

Maths-General

Maths-

### Explain how you can prove BC = DC

### Explain how you can prove BC = DC

Maths-General

Maths-

### Use the distributive property to solve the equation 28- (3x+4)= 2(x+6)+x

### Use the distributive property to solve the equation 28- (3x+4)= 2(x+6)+x

Maths-General

Maths-

### Find a counterexample to show that the following conjecture is false.

Conjecture: The square of any integer is always greater than the integer.

### Find a counterexample to show that the following conjecture is false.

Conjecture: The square of any integer is always greater than the integer.

Maths-General

Maths-

### Explain how you can prove that ∠BAD ≅ ∠BCD

### Explain how you can prove that ∠BAD ≅ ∠BCD

Maths-General

Maths-

### Solve the equation

### Solve the equation

Maths-General

Maths-

### What are the first three numbers in the pattern? −, −, −, 64, 128, 256, …

### What are the first three numbers in the pattern? −, −, −, 64, 128, 256, …

Maths-General

Maths-

### Use the Law of Syllogism to write a new conditional statement that follows from the pair of true statements.

### Use the Law of Syllogism to write a new conditional statement that follows from the pair of true statements.

Maths-General

Maths-

### Solve the equation

### Solve the equation

Maths-General

Maths-

### Make and test a conjecture about the sign of the cube of negative integers.

### Make and test a conjecture about the sign of the cube of negative integers.

Maths-General

Maths-

### In the following system of linear equations, k is a constant and x and y are variables. For what value of k will the system of equations have infinitely many solution?

kx - 3y = 12

4x - 5y = 20

### In the following system of linear equations, k is a constant and x and y are variables. For what value of k will the system of equations have infinitely many solution?

kx - 3y = 12

4x - 5y = 20

Maths-General

Maths-

### In the following system of linear equations, k is a constant and x and y are variables. For what value of k will the system of equations have no solution?

kx - 3y = 4

4x - 5y = 7

### In the following system of linear equations, k is a constant and x and y are variables. For what value of k will the system of equations have no solution?

kx - 3y = 4

4x - 5y = 7

Maths-General