Advertisements
Advertisements
Question
Two squares are congruent, if they have same ______.
Advertisements
Solution
Two squares are congruent, if they have same side.
Explanation:
In geometry, congruent figures have the same shape and size.
-
A square has all four sides equal and all angles 90°.
-
So, to be congruent, two squares must have equal side lengths.
-
If the side length is the same, their area, perimeter, and angles will also be the same, making them congruent, even if they are rotated or positioned differently.
Example:
A square with side 5 cm and another square with side 5 cm are congruent squares.
APPEARS IN
RELATED QUESTIONS
In Figure, ABD is a triangle right angled at A and AC ⊥ BD. Show that AD2 = BD × CD

The perpendicular from A on side BC of a Δ ABC intersects BC at D such that DB = 3CD . Prove that 2AB2 = 2AC2 + BC2.

Tick the correct answer and justify: In ΔABC, AB = `6sqrt3` cm, AC = 12 cm and BC = 6 cm.
The angle B is:
In the given figure, AD = 13 cm, BC = 12 cm, AB = 3 cm and angle ACD = angle ABC = 90°. Find the length of DC.

In the figure below, find the value of 'x'.

The hypotenuse of a right angled triangle of sides 12 cm and 16 cm is __________
In the figure, find AR
Sides AB and BE of a right triangle, right-angled at B are of lengths 16 cm and 8 cm respectively. The length of the side of largest square FDGB that can be inscribed in the triangle ABE is ______.

In an isosceles triangle PQR, the length of equal sides PQ and PR is 13 cm and base QR is 10 cm. Find the length of perpendicular bisector drawn from vertex P to side QR.
In a triangle, sum of squares of two sides is equal to the square of the third side.
