Question

Figure ABCD is a rhombus. What other term describes figure ABCD? kite square right trapezoid isosceles trapezoid

Answer 1

Square

Explanation:

We know that the given figure ABCD is a rhombus.

Apparently, the figure ABDC looks like a square so let us check whether it is a square or not.

We know that square has four angles, each of 90°, so two angles will be equal to 180°.

So,
`(5x+25)+(7x-7) = 180`

`5x+7x= 180-25+1`

`12x=156`

`x= 13`

Putting the value of x in ∠A and ∠D to check:

∠A = 5x + 25 = 5(13) + 25 = 90°

and

∠D = 7x - 1 = 7(13) - 1 = 90°

Therefore, figure ABCD can be termed as a square.

Answer 2

we have <D = (7x-1)° , <A =(5x+25)°

{ all angles of square is equal to 90° }

<A + <D = 180°

5x + 25 + 7x - 1 = 180°

12 x = 180 - 24

12x = 156

x = 13

<A = (5*13 +25) = 90

< D = ( 7*13-1) = 90

so ABCD is a square