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 triangle ABC, ∠C=90°. Let BC= a, CA= b, AB= c and let 'p' be the length of the perpendicular from 'C' on AB, prove that:
1. cp = ab
2. `1/p^2=1/a^2+1/b^2`
PQR is a triangle right angled at P. If PQ = 10 cm and PR = 24 cm, find QR.
Prove that, in a right-angled triangle, the square of the hypotenuse is equal to the sum of the square of remaining two sides.
In the following figure, OP, OQ, and OR are drawn perpendiculars to the sides BC, CA and AB respectively of triangle ABC.
Prove that: AR2 + BP2 + CQ2 = AQ2 + CP2 + BR2

In the given figure, angle ACB = 90° = angle ACD. If AB = 10 m, BC = 6 cm and AD = 17 cm, find :
(i) AC
(ii) CD

Find the Pythagorean triplet from among the following set of numbers.
4, 7, 8
In an equilateral triangle ABC, the side BC is trisected at D. Prove that 9 AD2 = 7 AB2.
In a triangle ABC, AC > AB, D is the midpoint BC, and AE ⊥ BC. Prove that: AB2 + AC2 = 2AD2 + `(1)/(2)"BC"^2`
In the given figure, PQ = `"RS"/(3)` = 8cm, 3ST = 4QT = 48cm.
SHow that ∠RTP = 90°.
If ‘l‘ and ‘m’ are the legs and ‘n’ is the hypotenuse of a right angled triangle then, l2 = ________
