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.