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nataly862011 [7]
3 years ago
15

Is quadrilateral ABCD a square? Show your work.

Mathematics
2 answers:
Yuri [45]3 years ago
5 0

Answer:

The answer to your question is Yes, it is a square.

Step-by-step explanation:

Data

From the picture

A (8, 3)

B (7, 8)

C (2, 7)

D (3, 2)

Process

-Use the formula of the distance between two points.

-Calculate the distance between  AB, BC, CD, DA

Formula

d = \sqrt{(x2 - x1)^{2}+ (y2 - y1)^{2}}

1.- Distance between AB

dAB = \sqrt{(7 - 8)^{2}+ (8 - 3)^{2}}

dAB = \sqrt{(-1)^{2}+ (5)^{2}}

dAB = \sqrt{1 + 25}

dAB = \sqrt{26}

2.- Distance between BC

dBC = \sqrt{(2 - 7)^{2}+ (7 - 8)^{2}}

dBC = \sqrt{(-5)^{2}+ (-1)^{2}}

dBC = \sqrt{25 + 1}

dBC = \sqrt{26}

3.- Distance between CD

dCD = \sqrt{(3 - 2)^{2}+ (2 - 7)^{2}}

dCD = \sqrt{(1)^{2}+ (5)^{2}}

dCD = \sqrt{1 + 25}

dCD = \sqrt{26}

4.- Distance between AD

dAD = \sqrt{(3 - 8)^{2}+ (2 - 3)^{2}}

dAD = \sqrt{(-5)^{2}+ (-1)^{2}}

dAD = \sqrt{25 + 1}

dAD = \sqrt{26}

5.- Conclusion

The quadrilateral ABCD is a square because dAB = dBC = dCD = dDA

stepladder [879]3 years ago
3 0

Answer:

yes

Step-by-step explanation:

yes, the slope and distance from each side is equal to another

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Jessica drew a circle divided into 8 equal parts she shaded six of the parts what fraction is equivalent to the part of the circ
Anni [7]

Answer:

3/4

Step-by-step explanation:

Jessica shaded 6/8 of the circle. That fraction can be reduced by removing a factor of 2 from numerator and denominator. The reduced fraction is 3/4.

\dfrac{6}{8}=\dfrac{2\cdot 3}{2\cdot 4}=\dfrac{2}{2}\cdot\dfrac{3}{4}=1\cdot\dfrac{3}{4}\\\\=\dfrac{3}{4}

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3 years ago
Answer it answer it answer it
Usimov [2.4K]

Answer:

The correct option is;

C. 52.2 × 4.4 × 2 + 47.8 × 4.4 × 2

Step-by-step explanation:

The area of the square frame is the area of the inner square subtracted from the area of the outer square

Which gives;

52.2² - 47.8² = 440

Therefore;

Option A. 52.2² - 47.8² is a correct way of finding the area of the square frame

Option B. 2 × ((52.2×2.2) + (47.8×2.2)) = 440, is  a correct way of finding the area of the square frame

Option C. 52.2 × 4.4 × 2 + 47.8 × 4.4 × 2 = 880, is not a correct way of finding the area of the square frame

The error is the thickness is 2.2 not 4.4

Option D. 100×(52.2 - 47.8) = (52.2 + 47.8) × (52.2 - 47.8) = 52.2² - 47.8² = 440,  is  a correct way of finding the area of the square frame

5 0
3 years ago
H is 60% of m.<br> Also, r is 75% ofm.<br> Work out h as a percentage of r.
ivolga24 [154]

Answer:

h=0.6m

r=0.75m

h=0.6m/0.75m*100 percent of r.

h=6000/75% of r

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Step-by-step explanation:

6 0
3 years ago
Please help me i desperately need it
MrRa [10]

Answer: Division property of equality

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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