Question

q1 - accelerated mathematics
student portal quest
ed mathematics gr 8 | lesson: identifying and interpreting congruenc...
target due: last wednesday 0%
what is the result of rotating a shape 90 degrees around a fixed point?
a. the shape changes orientation but not size
b. the shape is reflected over an axis
c. the shape becomes a mirror image
d. the shape changes size
what happens to a figure when it undergoes dilation with a scale factor?
a. the shape changes proportionally while size stays the same
b. the size remains the same
c. the size and shape both change randomly
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Explanation:

1. Rotating a shape 90 - degrees around a fixed point is a transformation that changes the orientation of the shape. Since it is a rotation, the size of the shape remains the same. Reflection over an axis gives a mirror - image (options b and c), and rotation does not change the size (eliminating option d).
2. Dilation with a scale factor changes the size of a figure proportionally. If the scale factor is greater than 1, the figure gets larger; if it is between 0 and 1, the figure gets smaller. The shape remains the same, just the size changes proportionally.

Answer:

1. a. The shape changes orientation but not size
2. None of the given options are correct. The correct answer is that the size changes proportionally while the shape remains the same.