If triangle HIJ is dilated about the center of the triangle to create triangle H'I'J', dilated line A'B' will
2 answers:
If triangle HIJ is dilated about the center of the triangle to create triangle H'I'J', dilated line A'B' will be parallel to AB.Option (D) is correct.
Further explanation:
Given:
The options are as follows,
(A). be perpendicular to AB.
(B). lie on the same line as AB.
(C). shift four units to the left.
(D). be parallel to AB.
Explanation:
If we dilate triangle HIJ then the dilated triangle is bigger than the triangle HIJ.
The triangle HIJ is similar to triangle to each other.
So the line is parallel to side AB.
If triangle HIJ is dilated about the center of the triangle to create triangle H'I'J', dilated line A'B' will be parallel to AB. Option (D) is correct.
Kindly refer to the image attached below.
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Answer details:
Grade: High School
Subject: Mathematics
Chapter: Coordinate geometry
Keywords: image vertices, AB, line, passing, point A, point B, triangle HIJ, dilated, perpendicular to AB, lies, same line, shift four units, left, pre-imaged, dilation, center, scale factor, four, coordinates, x-coordinates, y-coordinate, transformation rule.
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Answer:
(x, y) = (1, 3)
Step-by-step explanation:
The "work" of solving by graphing is typing the equations into a graphing calculator and highlighting the point of intersection.
___
If you're graphing these by hand, there are a couple of strategies you can use. One is to make use of the intercepts of the line. For each of these, you need to rearrange the equation to a suitable form.
<u>3y -6 = 3x</u>
To put this into "intercept form", put the variable terms on one side of the equal sign and the constant on the other. Then divide by the constant and express the resulting variable coefficients as denominators.
3x -3y = -6
x/(-6/3) +y/(-6/-3) = 1
x/(-2) + y/2 = 1 . . . . . . The x-intercept is -2; the y-intercept is 2.
Plot the intercept points and draw a line through them.
<u>y +2x = 5</u>
The intercepts for this one are found by dividing by 5:
x/(5/2) + y/5 = 1 . . . . . . The x-intercept is 2.5; the y-intercept is 5.
The other strategy you can use for this one is to rearrange the equation to slope-intercept form and make use of those numbers.
y = -2x + 5
The y-intercept is 5 (as we already found above), and the slope is -2. That means the line drops 2 units for each unit it goes to the right. Apart from the y-intercept, other points on this line will be (1, 3), (2, 1), (3, -1).
<u>Solution</u>
When you plot these lines, you find they intersect at (1, 3). That is the solution to the system of equations, the values of x and y that satisfy both equations.
