Help me please help

Mathematics

1 answer:

Scrat [10]4 years ago

8 0

Take number cubes and roll them.... let's say you get 2 and 6

write 2 in the left window and 6 in the right window

2+6=8

8 goes in the box in the attic

the fact family would be as follows....

2+6=8
6+2=8
8-6=2
8-2=6

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The set of transformations that could be applied to rectangle ABCD to create rectangle A'B'C'D' is the second option;

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The reason the above selected option is correct is as follows:

Known parameters:

The given coordinates of the vertices of the preimage of the rectangle ABCD are; A(-4, 2), B(-4, 1), C(-1, 1), and D(-1, 2)

The given coordinates of the vertices of the image of the rectangle ABCD, which is rectangle A'B'C'D' are; A'(-4, -2), B'(-4, -1), C'(-1, -1), and D'(-1, -2)

Solution:

The form of the ordered pair of the vertices of the pre-image is negative value for x, positive value for y, which can be written as (-x, y), where x, and y, are positive numbers

The form of the ordered pair of the vertices of the image is (-x, -y)

The location of a point (-x, y) following a reflection over the y-axis is the point (x, y)

The location of a point (x, y) following a 180° rotation is the point (-x, -y)

Therefore, the set of transformations that can be applied to (-x, y), to create (-x, -y), is a reflection over the y-axis, followed by a rotation of 180

Which gives;

The set of transformations that transforms A(-4, 2) to create A'(-4, -2), B(-4, 1), to create B'(-4, -1), C(-1, 1), to create C'(-1, 1), and D(-1, 2), to create D'(-1, -2) is a reflection over the y-axis followed by a rotation of 180°.

Therefore, the correct option is; Reflected over the y-axis and rotated 180°

Learn more about composite transformations here:

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