Advertisements
Advertisements
Question
Two rectangles are congruent, if they have same ______ and ______.
Advertisements
Solution
Two rectangles are congruent, if they have same length and breadth.
Explanation:
In geometry, congruent figures are those that have the same shape and size.
-
For rectangles to be congruent, their lengths and breadths (widths) must be exactly equal.
-
This ensures that all corresponding sides and angles are equal.
-
Even if one rectangle is rotated or flipped, as long as the length and breadth match, the rectangles are considered congruent.
Example:
If one rectangle is 6 cm long and 4 cm wide, and another is also 6 cm long and 4 cm wide, then they are congruent rectangles.
APPEARS IN
RELATED QUESTIONS
In Fig., ∆ABC is an obtuse triangle, obtuse angled at B. If AD ⊥ CB, prove that AC2 = AB2 + BC2 + 2BC × BD
In the given figure, ABC is a triangle in which ∠ABC < 90° and AD ⊥ BC. Prove that AC2 = AB2 + BC2 − 2BC.BD.

In the given figure, ∠B = 90°, XY || BC, AB = 12 cm, AY = 8cm and AX : XB = 1 : 2 = AY : YC.
Find the lengths of AC and BC.

In the following figure, AD is perpendicular to BC and D divides BC in the ratio 1: 3.
Prove that : 2AC2 = 2AB2 + BC2
Find the Pythagorean triplet from among the following set of numbers.
4, 5, 6
Find the length of the perpendicular of a triangle whose base is 5cm and the hypotenuse is 13cm. Also, find its area.
From a point O in the interior of aΔABC, perpendicular OD, OE and OF are drawn to the sides BC, CA and AB respectively. Prove that: AF2 + BD2 + CE2 = AE2 + CD2 + BF2
For going to a city B from city A, there is a route via city C such that AC ⊥ CB, AC = 2x km and CB = 2(x + 7) km. It is proposed to construct a 26 km highway which directly connects the two cities A and B. Find how much distance will be saved in reaching city B from city A after the construction of the highway.
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.
Two trees 7 m and 4 m high stand upright on a ground. If their bases (roots) are 4 m apart, then the distance between their tops is ______.
