Maths-

General

Easy

Question

# Prove that triangles AEB and CED are congruent, provided that AB || CD. Name the postulate that you used.

Hint:

### Alternative interior angles are equal.

## The correct answer is: two Angles and an included Side of triangle AEB are congruent to two Angles and the included Side of triangle CED. It means that triangles are congruent by ASA congruency postulate. Hence Proved

### In the figure,

(\vertically opposite angles)

(\ alternative interior angles)

And side BE = ED (included side)

i.e. two Angles and an included Side of triangle AEB are congruent to two Angles and the included Side of triangle CED. It means that triangles are congruent by ASA congruency postulate.

Hence Proved

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### Madhu makes 3 bracelets and Swetha makes 2 bracelets. They both use the same number of string colors. How many colors should they used to make the same amount of money ?

Madhu’s Bracelet : Rs 5 per bracelet plus Rs 2 for each string color.

Swetha’s Bracelet : Rs 3 per bracelet and Rs 3 for each string color.

Say whether this situation has no solution or infinitely many solutions?

### Madhu makes 3 bracelets and Swetha makes 2 bracelets. They both use the same number of string colors. How many colors should they used to make the same amount of money ?

Madhu’s Bracelet : Rs 5 per bracelet plus Rs 2 for each string color.

Swetha’s Bracelet : Rs 3 per bracelet and Rs 3 for each string color.

Say whether this situation has no solution or infinitely many solutions?

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BC ≅

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∠B ≅

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Maths-General