Congruence of Objects

In the adjoining figure, $△ABC\cong △PQR$. 

The values of $x$ and $y$ are:

All angles of a regular hexagon are congruent.

Line segment $AB=10 \mathrm{cm}$, line segment $PQ=10 \mathrm{cm}$ and $AB\cong PQ$.

All equilateral triangles are congruent.

If in two congruent angles, one is a right angle, then the other angle is a _____ angle.

Two circles are of radii $5 \mathrm{cm}$. Then the both circles are _____. $($congruent$/$similar$)$

Two plane figures are _____ if they cover each other completely. (congruent/similar)

Two angles are _____ if their measures are equal. $($similar$/$congruent$)$

Look at the $4$ pairs of shapes. Are the pairs congruent?

Two circles with centre X and centre Y are congruent. If the radius of the circle with centre X is 5 units, what is the radius of the circle with centre Y?

If ∆ABC ≌ ∆DEF by SSS congruence rule, then the corresponding angles of ∆ABC and ∆DEF are

Are the two rectangles congruent?

The length and breadth of rectangle ABCD are 7 and 6 units respectively. The length and breadth of rectangle EFGH are 6 and 7 units respectively.

Is rectangle ABCD ≌rectangle EFGH?

Two circles with centre X and centre Y are congruent. If the radius of the circle with centre X is 5 units, what is the radius of the circle with centre Y?

The length of the side of the square EFGH is 4 units. Another square UVXY also has the same measure for its length namely, 4 units. Are the two squares congruent?

From the given figure, we can interpret that the given two squares are congruent to each other with area 16 square units. We represent the congruency as Sq ACBD ≌ Sq EGFH.

Is Sq CBDA ≌ Sq GFHE?

Look at all the values given in the triangles and identify if the two triangles congruent?

The Area of both triangles ∆ABC and ∆DEF is 36 sq cm. With these data can we say that the triangles are congruent?

Zia drew these two pictures in her art book. Are these pictures congruent?

Look at the paired sets of Oval and Hexagon. Are the pairs congruent?