Question
Prove that the triangles ABC and XYZ are congruent.
Hint:
Recall a triangle congruency postulate with two sides
The correct answer is: two Sides and an included Angle of triangle ABC are congruent to two Sides and the included Angle of triangle XYZ. It means that triangles are congruent by SAS congruency postulate. Hence Proved
In the figure, 
(included angle)
side AC = XZ and BC = YZ
i.e. two Sides and an included Angle of triangle ABC are congruent to two Sides and the included Angle of triangle XYZ. It means that triangles are congruent by SAS congruency postulate.
Hence Proved
Related Questions to study
Describe the pattern in the numbers 9.001, 9.010, 9.019, 9.028, ... and write the next three numbers in the pattern.
Describe the pattern in the numbers 9.001, 9.010, 9.019, 9.028, ... and write the next three numbers in the pattern.
Solve 49x + 9= 49x + 83
a)Does the equation have one solution , no solution or infinitely many solutions ?
b) Write two equations in one variable that have the same number of solutions as this equation
Solve 49x + 9= 49x + 83
a)Does the equation have one solution , no solution or infinitely many solutions ?
b) Write two equations in one variable that have the same number of solutions as this equation
Describe the pattern in the numbers 5, -15, 45, -215, ... and write the next three numbers in the pattern.
Describe the pattern in the numbers 5, -15, 45, -215, ... and write the next three numbers in the pattern.
– State and prove the AAS congruence postulate using the ASA congruence postulate.
– State and prove the AAS congruence postulate using the ASA congruence postulate.
Solve 0.9x+5.1x - 7 =2(2.5x - 3). How many solutions does the equation have ?
Solve 0.9x+5.1x - 7 =2(2.5x - 3). How many solutions does the equation have ?
Two rival dry cleaners both advertise their prices. Let x equal the number of items dry cleaned. Store A’s prices are represented by the equation 15x - 2. Store B’s prices are represented by the expression 3 (5x + 7). When do the two stores charge the same rate ? Explain.
Mathematical expressions are made up of at least two numbers or variables, one math operation, and a sentence. This mathematical operation allows you to multiply, divide, add, or subtract numbers.
¶Types of Expression
1. Arithmetic operators and numbers make up a mathematical numerical expression. There are no symbols for undefined variables, equality, or inequality.
2. Unknown variables, numerical values, and arithmetic operators make up an algebraic expression. There are no symbols for equality or inequality in it.
¶In contrast to equations, the equal (=) operator is used between two mathematical expressions. Expressions denote a combination of numbers, variables, and operation symbols. The "equal to" sign also has the same value on both sides.
Two rival dry cleaners both advertise their prices. Let x equal the number of items dry cleaned. Store A’s prices are represented by the equation 15x - 2. Store B’s prices are represented by the expression 3 (5x + 7). When do the two stores charge the same rate ? Explain.
Mathematical expressions are made up of at least two numbers or variables, one math operation, and a sentence. This mathematical operation allows you to multiply, divide, add, or subtract numbers.
¶Types of Expression
1. Arithmetic operators and numbers make up a mathematical numerical expression. There are no symbols for undefined variables, equality, or inequality.
2. Unknown variables, numerical values, and arithmetic operators make up an algebraic expression. There are no symbols for equality or inequality in it.
¶In contrast to equations, the equal (=) operator is used between two mathematical expressions. Expressions denote a combination of numbers, variables, and operation symbols. The "equal to" sign also has the same value on both sides.
