QQuestionMathematics
QuestionMathematics
Which shows only a vertical translation from the shaded figure onto the unshaded figure?
A. On a coordinate plane, a triangle is shifted up.
B. On a coordinate plane, a triangle is shifted to the left.
C. On a coordinate plane, a triangle is enlarged to form another triangle.
D. On a coordinate plane, a triangle is shifted up and to the left.
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Answer
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Step 1:Let's solve this step by step:
Step 2:: Understand the definition of a vertical translation
- A vertical translation moves a geometric figure directly up or down on the coordinate plane - This means the x-coordinates remain unchanged - Only the y-coordinates change by a constant value
Step 3:: Analyze each option carefully
Option A: Triangle shifted up - This is the ONLY option that represents a pure vertical translation - All points move straight up by the same vertical distance - x-coordinates remain the same - y-coordinates increase by a constant value Option B: Triangle shifted to the left - This is a horizontal translation - x-coordinates change - y-coordinates remain the same - NOT a vertical translation Option C: Triangle enlarged - This is a transformation of size (scaling) - Changes the shape's dimensions - NOT a vertical translation Option D: Triangle shifted up and to the left - This is a combined translation - Changes both x and y coordinates - NOT a pure vertical translation
Step 4:: Identify the correct answer
- Option A is the only representation of a pure vertical translation
Final Answer
The key characteristic of a vertical translation is that it moves a figure directly up or down while maintaining its original shape and orientation, with only the y-coordinates changing.
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