smc-3196-30-Reflections and Rotations

Geometry, NAP-K4-CA32

Quadrilateral `ABCD` is drawn on a Cartesian plane.

The quadrilateral is rotated 90° anti-clockwise about the origin.

It is then reflected over the `y`-axis and labelled `A prime B prime C prime D prime`.

Which statement below is true?

	The coordinates of `A prime` are `(0, 1)`.
	`CD` is parallel to `C prime D prime`.
	The coordinates of `B prime` are `(2, 3)`.
	The quadrilateral `A prime B prime C prime D prime` is congruent to `ABCD`.

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`text(The quadrilateral)\ A prime B prime C prime D prime\ text(is congruent to)\ ABCD`

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`text(Any reflection or rotation will maintain the same shape and)`

`text(therefore)\ A′B′C′D′\ text(is congruent to)\ ABCD.`

This shape is reflected across the line and then rotated 90° clockwise.

Which image shows the appearance of the shape after these transformations?

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`text(After reflection)`

`text(After rotation)`

This triangle is reflected across the dotted line and then rotated 90° anti-clockwise.

What is the resulting image of the triangle?

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`text(Reflection across the dotted line,)`

`text(Anti-clockwise)\ 90^@\ text(rotation,)`