The coordinates of the vertices for the image, triangle U′V′W′, if the preimage is rotated 90° counterclockwise include the following:
U' = (1, 1).
V' = (-4, 0).
W' = (-1, 4).
In Mathematics and Geometry, the rotation of a point 90° about the center (origin) in a counterclockwise (anticlockwise) direction would produce a point that has these coordinates (-y, x).
By applying a rotation of 90° counterclockwise to the vertices of triangle UVW, the coordinates of the vertices of the image are as follows:
(x, y) → (-y, x)
Ordered pair U = (-1, 1) → Ordered pair U' = (1, -(-1)) = (1, 1).
Ordered pair V = (0, -4) → Ordered pair V' = (-4, -(0)) = (-4, 0).
Ordered pair W = (-4, -1) → Ordered pair W' = (-1, -(-4)) = (-1, 4).
Read more on rotation here: brainly.com/question/28854313
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Which statements are true? Check all that apply
The expression contains seven terms.
The terms in the expression are a?, 4,21, 9, and .
The constants, 4 and 9, are like terms.
Like terms have the same variables to the same
powers
9, 21, and I are variables, so they are like terms.
2t and t are like terms.
Answer:
The answer is 2,3,4,6
Step-by-step explanation:
Here is proof! Hope you pass<33
Answer:
2nd option is correct as it has represented all the terms of the expression.
Fill in the blank question.
REASONING The figure shows a straight portion of the course for a city marathon. The water station W is located at the midpoint of AB .
a. What is the length of the course from point A to point W?
Part B
Select the correct choices to complete the sentence.
b. Write a paragraph proof for your answer to part a.
The length of the course from point A to point W can be found using the midpoint formula. To write a paragraph proof, mention the given information and use the midpoint formula to calculate the length.
Part A:
To find the length of the course from point A to point W, we need to determine the distance between these two points. Since W is the midpoint of segment AB, we can use the midpoint formula to find the coordinates of W. If the coordinates of A are (x1, y1) and the coordinates of B are (x2, y2), the coordinates of W would be the averages of x1 and x2, and y1 and y2.
Part B:
To write a paragraph proof for Part A, we can state the given information and use the midpoint formula to show how we calculated the length of the course from point A to point W. We can mention the formula for the midpoint and use the given information to substitute the values, then simplify the expression to find the length.
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B. 12 1/8
C. 19 4/8
D. 19 5/8