Advertisements
Advertisements
Question
Two squares having same perimeter are congruent.
Options
True
False
Advertisements
Solution
This statement is True.
Explanation:
If two squares have the same perimeter, then their sides will be equal.
Hence, the squares will superimpose on each other.
APPEARS IN
RELATED QUESTIONS
In the following figure, O is a point in the interior of a triangle ABC, OD ⊥ BC, OE ⊥ AC and OF ⊥ AB. Show that

(i) OA2 + OB2 + OC2 − OD2 − OE2 − OF2 = AF2 + BD2 + CE2
(ii) AF2 + BD2 + CE2 = AE2 + CD2 + BF2
PQR is a triangle right angled at P. If PQ = 10 cm and PR = 24 cm, find QR.
Find the length of the hypotenuse of a right angled triangle if remaining sides are 9 cm and 12 cm.
In a trapezium ABCD, seg AB || seg DC seg BD ⊥ seg AD, seg AC ⊥ seg BC, If AD = 15, BC = 15 and AB = 25. Find A(▢ABCD)

Show that the triangle ABC is a right-angled triangle; if: AB = 9 cm, BC = 40 cm and AC = 41 cm
Calculate the area of a right-angled triangle whose hypotenuse is 65cm and one side is 16cm.
A man goes 10 m due east and then 24 m due north. Find the distance from the straight point.
In a triangle ABC right angled at C, P and Q are points of sides CA and CB respectively, which divide these sides the ratio 2 : 1.
Prove that: 9BP2 = 9BC2 + 4AC2
The perpendicular PS on the base QR of a ∆PQR intersects QR at S, such that QS = 3 SR. Prove that 2PQ2 = 2PR2 + QR2
Two squares are congruent, if they have same ______.
