Triangle ABC is rotated clockwise about the origin through 90°. The resulting triangle is then
1 answer:
When a shape is rotated, it must be rotated through a point.
The vertices of the triangle would remain unchanged after both transformations
Assume the coordinates of triangle ABC is (x,y).
The first rotation is 90 degrees clockwise rotation.
The rule of this transformation is:
Next, the triangle is rotated 270 degrees clockwise.
The rule of this transformation is:
So, we have:
Hence, the vertices of the triangle would remain unchanged after both transformations
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Answer:
Please find attached the graph of the following function;
Step-by-step explanation:
We note that the function is linear from x = 2 to just before x = 0
The linear relationship of the function f(x) with x changes just before x = 0
At x = 0, the value of f(x) is indicated as 1
From just after x = 0, the function is a straight horizontal line y = 3
The function also changes value immediately after x = 0 to the line y = 3
The areas where the function is defined are shown in continuous lines
