Geometry a/

the options in the box are
36
6
72
right
acute
congruent
straight

Therefore,

Since , ABCD has four Right angles and four Congruent sides, it is a Square

Step-by-step explanation:

The four points for the Figure are

point A( x₁ , y₁) ≡ ( 0 , 6)

point B( x₂ , y₂) ≡ (6 , 6)

point C(x₃ , y₃ ) ≡ (6 , 0)

point D(x₄ , y₄ ) ≡ (0 , 0)

∠A = ∠B = ∠C = ∠D = 90°

To Prove:

ABCD is a Square

Proof:

∠A = ∠B = ∠C = ∠D = 90° .........Given:

Now By Distance Formula we have

Substituting we get

Similarly for BC ,CD ,DA we have

Therefore,

Since , ABCD has four Right angles and four Congruent sides, it is a Square

4sqrt5

step-by-step explanation:

the base has dimensions of 8 x 4, so the diagonal is 64 + 16 square rooted or 4sqrt5.

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