Question
- If AB || CD, prove that the triangles ADB and CBD are congruent by ASA postulate.
Hint:
Alternative interior angles are equal
The correct answer is: two Angles and an included Side of triangle ABD are congruent to two Angles and the included Side of triangle BCD. It means that triangles are congruent by ASA congruency postulate.
In the figure, 
Since AB || CD , 
Side BD = BD (included side)
i.e. two Angles and an included Side of triangle ABD are congruent to two Angles and the included Side of triangle BCD. It means that triangles are congruent by ASA congruency postulate.
Hence Proved
i.e. two Angles and an included Side of triangle ABD are congruent to two Angles and the included Side of triangle BCD. It means that triangles are congruent by ASA congruency postulate.
Hence Proved
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¶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.
