Congruent Segments

Krish is standing at point B and Eshaan is standing at point E on the number line given below. Find the distance between Krish and Eshaan.

• 3

• 2

• 4

• 5

Find the distance between J and A with the help of the number line given below.

The co-ordinate of point J is ​​ -2.

And the co-ordinate of point A is ​ 1.

-2 ​ < 1

d(J,A) = greater co-ordinate - smaller co-ordinate = ​ (a)   - (b)   _ = 1 + ​ (c)   = ​ (d)  

Units

Therefore, distance between points J and A is ​ (e)  

• 1
• (-2)
• 2
• 3
• 3 units
• -2
• 4 units
• 5
• 0
• -1

Answer explanation

Steps to solve:

1. 1. Write co-ordinate of both points

2. 2. compare the co-ordinates

3. 3. Write distance between two points (here P and Q) mathematically as

4. d (J,A)

5. 4. Calculate distance by subtracting (Greater co-ordinate - smaller co-ordinate)

6. 5. Calculate and write answer with units.

7. 6. Closure statement.

Two segments are congruent if :

• They have different lengths.
• They are parallel to each other.
• They are both horizontal lines.
• They have the same length.

Which symbol is used to denote congruence?

• ≠
• =
• ~
• ≅

Identify the congruent segments from the given image.

( Hint : Use property of square and rectangle.

There are 3 correct answers. )

• Seg AB and Seg CD

• Seg PQ and Seg PS

• Seg AB, Seg CD, Seg BC, and Seg AD

• Seg AB and Seg PR

• Seg PQ and Seg RS

Answer explanation

1. 1. All sides of a square are equal.

2. (congruent as their measures/ length is the same).

3. 2. Opposite sides of a rectangle are congruent.

4. (congruent as their measures/ length is the same).