Answer:
3. X = (-4, -5), Y = (0, -3), Z = (-1, -7)
4. Refer back to my explanation.
5. a. Refer back to my explanation.
5. b. 28 units^2; please solve for the other rectangle.
5. c. No, because translation means moving the figure, not changing the shape or size.
Step-by-step explanation:
Warning in advance: the picture is very blurry when looking at the numbers on the graph so I have tried my best to decipher them.
3.
First, write down the ordered pairs for X, Y, and Z.
X = (-1, 4)
Y = (3, 6)
Z = (2, 2)
Note that horizontal movement (moving left or right) affects only the x coordinate. If you are moving to the left, you will subtract from the x coordinate. If you are moving to the right, you will add to the x coordinate.
Vertical movement (moving up or down) affects only the y coordinate. If you are moving up, you will add to the y coordinate. If you are moving down, you will subtract from the y coordinate.
Apply this concept to the ordered pairs:
Moving left = subtraction from x coordinate
Moving down = subtraction from y coordinate
X2 = (-1 - 3, 4 - 9) = (-4, -5)
Y2 = (3 - 3, 6 - 9) = (0, -3)
Z2 = (2 - 3, 2 - 9) = (-1, -7)
Your new image should have X at (-4, -5), Y at (0, -3), and Z at (-1, -7).
4.
After reading the concepts and seeing my explanation and demonstration, please try number 4 on your own. If you have any questions, feel free to ask me for help.
5. a.
The same goes for this problem since it is the same concept.
5. b.
To find the area of a rectangle, use the equation length × width, also known as l × w. In order to figure out what the length and width are equal to, count the units on the graph. JK is 7 units wide. Since this is a rectangle, ML will be the same width, 7 units. KL is 4 units long so JM will also be 4 units long. Now that we know the number of units, we can plug the numbers into the formula:
4 units × 7 units = 28 units^2
The question asks to solve for the area of each rectangle so please try the same for the rectangle you create from problem 5. a.
5. c.
The area of a figure will not change after translation because translation does not affect the figure's size or shape. If the figure is only moved, then no part of its area is changed so no, the area of a figure will not change.
