Introduction to Congruence

Q. In geometry, two figures or objects are if they have the same shape and size

1. Identical
2. Congruent
3. Same

Q.

Two rectangles are congruent, if they have same ______ and ______.

Q. State whether the following statement is true or false.
Any two squares are congruent to each other.

Q. All the squares are always similar to each other.

1. False
2. True

Q. Which of the following pairs are congruent?

1. Two $1$ dollar bills
2. Two pages of the same book
3. Two mobile phones of the same model
4. one dollar bill and a stack of 100 one dollars bills

Q. Are these shapes congruent?

1. No
2. Yes

Q.

Two figures are congruent, if they have the same:

1. size

2. shape

3. area

4. shape and size

Q. Sara has two rectangles, as can be seen below.


Are they congruent?

1. Yes
2. No

Q.

Identify which of the following pairs of figures are congruent.

Q. Why can't a parallelogram and a rhombus, as shown in the figure never be congruent?

1. They have unequal side lengths.
2. They have unequal vertex angles.
3. No, they are congruent.

Q. Name five pairs of congruent objects, you use daily.

Q. We have a square with perimeter $52$ cm and an equilateral triangle with perimeter $39$ cm. If two circles have its diameter equal to the side of the square and side of the triangle respectively. Will the circles be congruent?

1. Yes
2. No

Q. Polygons that are congruent are coincident.

1. True
2. False

Q. The two triangles DAS and UIP are congruent. Find the value of $\angle ADS$ (in degrees).