Question

if angles A,B,C and D of the quadrilateral ABCD, taken in order, are in the ratio 1:1:1:1 then ABCD is a ____ ( ) 1. square 2. rhombus 3. rectangle 4. 1 and 3​

Answer 1

Answer:

Your answer is "SQUARE"

Step-by-step explanation:

The angles A,B,C & D of the quadrilateral ABCD,taken in order, are in the ratio 1:1:1:1.

Now, we know that

A+B+C+D=360°

Take,

A/1 + B/1 + C/1 + D/1 = K

Then,

1K + 2K + 3K + 4K = 360°

4K = 360°

K= 360/4

K = 90°

Now, substituting the value of "K" in 1K, 2K, 3K, & 4K, then will we get,

Angle A= 90°

Angle B= 90°

Angle C= 90°

Angle D= 90°

When all the angles are equal, then it is called as "Square"

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Answer 2

If angles A,B,C and D of the quadrilateral ABCD, taken in order, are in the ratio 1:1:1:1 then ABCD is a square.