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Doss [256]
4 years ago
15

3. Diego made the shape on the left, and Elena made the shape on the right. Each shape

Mathematics
1 answer:
ivanzaharov [21]4 years ago
7 0

The two circle designs are missing, so i have attached it.

Answer:

Options A & B are true.

Step-by-step explanation:

Congruent circles are basically identical. This means that they have the same radius and diameter but different centres.

Now, from the attached image, we see that the smallest circle in diogo's design has diameter of 2 units & radius of 1 unit while the one in Elena's design also has exactly the same measurement. Thus, we can conclude the smallest circle in diogo's design which is the first one is congruent to the smallest circle in the second design for Elena.

So option A is correct.

Looking carefully at both designs, we can observe that one is concentric while the other is eccentric. However, all the similar sized circles have the same radius & diameter. Thus, we can still say that both designs are congruent. So option B is correct.

In transformations, a translation is when all the points in a an object are made to move up or down in a state straight line in that same direction. However, the objects shape and size remains the exactly the same.

In this case, it's not so because the circle changed from concentric circles to eccentric circles. So this option C is not correct.

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3 years ago
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Could y’all help me out with this?
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Answer:

M' (5,-1)

D' (5,1)

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Step-by-step explanation:

We want to find the coordinates of Quadrilateral MDAW with vertices M(-1, 5), D(1,5), A(4,3), and W(-1,4) after a reflection across y = x.

We can find these coordinates by following the following rule:

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Explanation of rule: Simply swap the places of the x and y values.

Applying rule to given coordinates:

M(-1,5) -----> swap x and y values -----> M'(5,-1)

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So the coordinates of Quadrilateral MDAW  after a reflection over the y = x  line are M'(5,-1) , D'(5,1) , A'(3,4) , W'(4,-1)

For more validation, refer to the attached image

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