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
