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2 years ago

Write complete answer please will mark brainiest

Mathematics

1 answer:

IgorLugansk [536]2 years ago

4 0

I would say the third option. 90 degree rotation and shift 2 unit

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2. Given a quadrilateral with vertices (−1, 3), (1, 5), (5, 1), and (3,−1):

zlopas [31]

<h2>Explanation:</h2>

In every rectangle, the two diagonals have the same length. If a quadrilateral's diagonals have the same length, that doesn't mean it has to be a rectangle, but if a parallelogram's diagonals have the same length, then it's definitely a rectangle.

So first of all, let's prove this is a parallelogram. The basic definition of a parallelogram is that it is a quadrilateral where both pairs of opposite sides are parallel.

So let's name the vertices as:

$A(-1,3) \\ \\ B(1,5) \\ \\ C(5,1) \\ \\ D(3,-1)$

First pair of opposite sides:

<u>Slope:</u>

$\text{For AB}: \\ \\ m=\frac{5-3}{1-(-1)}=1 \\ \\ \\ \text{For CD}: \\ \\ m=\frac{1-(-1)}{5-3}=1 \\ \\ \\ \text{So AB and CD are parallel}$

Second pair of opposite sides:

<u>Slope:</u>

$\text{For BC}: \\ \\ m=\frac{1-5}{5-1}=-1 \\ \\ \\ \text{For AD}: \\ \\ m=\frac{-1-3}{3-(-1)}=-1 \\ \\ \\ \text{So BC and AD are parallel}$

So in fact this is a parallelogram. The other thing we need to prove is that the diagonals measure the same. Using distance formula:

$d=\sqrt{(y_{2}-y_{1})^2+(x_{2}-x_{1})^2} \\ \\ \\ Diagonal \ BD: \\ \\ d=\sqrt{(5-(-1))^2+(1-3)^2}=2\sqrt{10} \\ \\ \\ Diagonal \ AC: \\ \\ d=\sqrt{(3-1)^2+(-5-1)^2}=2\sqrt{10} \\ \\ \\$

So the diagonals measure the same, therefore this is a rectangle.

5 0

3 years ago

Tyler’s height is 57 inches. What could be his height in centimeters? Explain your reasoning. (1 inch= 2.54 cm)

Nina [5.8K]

Answer:

144.78 cm

Step-by-step explanation:

57 times 2.54

6 0

2 years ago

Read 2 more answers

A pack of 13 candles is priced at $78. At that rate, how much would only 10 candles cost?

Sphinxa [80]

Answer:

78/13 = 6 (is the price of one candle)

6(price) x 10(candles) =60 is the answer

Hope it helped

8 0

2 years ago

If parallel lines a and b are cut by transversal t, then which statement about angles 1 and 2 must be true?

alex41 [277]

Did you not include D or finish writing D since the first three are not right. If one of the possible answers is that they are alternate exterior angles or the same degrees, that would be the answer.

8 0

3 years ago

What is the percent of the blue gumballs

kramer

63/170= 37%
You can divide 63/170 and you get 0.37 as decimal form but when trying to find the percent you always multiply by 100 to get a decimal to a percent and then u found your answer

8 0

2 years ago