Are the side lengths of the squares in Diagram A and Diagram B equivalent? Explain your reasoning?

Mathematics

1 answer:

Pavlova-9 [17]3 years ago

6 0

Answer: Yes they are equivalent square side lengths

Explanation:

Diagram A has a circle with diameter 10 ft, so this is the side length of the square.

For diagram B, count along the bottom row and you'll count out 5 circles each of which have a diameter of 2 feet (double the radius of 1 ft), leading to a total square side length of 2*5 = 10 ft.

Both squares have a side length of 10 feet.

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Answer:

Since $\overrightarrow{AB} = \overrightarrow{DC}$ and $\overrightarrow{AD} = \overrightarrow{BC}$ , then the quadrilateral ABCD is a parallelogram.

Step-by-step explanation:

First, we label each point of the quadrilateral with the help of a graphing tool. If the quadrilateral ABCD is a parallelogram, then $\overrightarrow{AB} = \overrightarrow{DC}$ and $\overrightarrow{AD} = \overrightarrow{BC}$ . If we know that $A(x,y) =(-1, 1)$ , $B(x,y) =(-3,4)$ , $C(x,y) = (1,5)$ and $D(x,y) = (3,2)$ , then the measure of each vector is, respectively: