Worksheet – Geometry: Transformations
Question 1: Translation
Tick the box to translate the image then use the mouse to move green point (Terminal Point).
1.1 / Describe in your own words what a translation is.Translation refers to moving an object without changing it in any other way. The object is not altered in any other way. It is notrotated,reflectedorre-sized.
1.2 / Move the green point to 8 on the x-Axis.
1.2.1 / Describe this transformation in words
Translate image 8 units to the right
1.2.2 / Give the coordinate of the new point C
1.2.3 / Write down the rule for this transformation
1.3 / Move the green point to the coordinate
1.3.1 / Describe this transformation in words
Translate image 2 units to the left and 6 units down
1.3.2 / Give the coordinate of the new point C
1.3.3 / Write the rule for this transformation
1.4 / Move the green point to illustrate the translation 2 units up, and 3 units to the right.
1.4.1 / Write the coordinate of the green point.
1.4.2 / Give the coordinate of the new point C.
1.4.3 / Write the rule for this transformation.
1.5 / If the coordinate of the translated point C is
1.5.1 / Describe this transformation in words
Question 2: Rotation
Tick the box to rotate the image then use the mouse to move green slider
2.1 / Describe in your own words what a rotation is.Tick the box to show point C’1
2.2 / Move the green slider to 90° clockwise.2.2.1 / Describe this transformation in words
2.2.2 / Give the coordinate of the new point C
C’( )
2.2.3 / Write the rule for this transformation
2.3 / Move the green point to the coordinate
2.3.1 / Describe this transformation in words
2.3.2 / Give the coordinate of the new point C
2.3.3 / Write the rule for this transformation
2.4 / Give the coordinates of if the image is rotated 180°, clockwise around point A
2.5 / Give the rule for the rotation of the image 45° counterclockwise.
Question 3: Reflection
Tick the box to reflect the image over any line of choice, use the mouse to move the line using the two red points
3.1 / Describe in your own words what a reflection is.3.2 / Move the red point on the y-Axis on the values and
3.2.1 / Describe this transformation in words.
3.2.2 / Give the coordinate of the new point C.
( )
3.2.3 / Write the rule for this transformation.
3.3 / Move the red point on the x-Axis on the values and
3.3.1 / Describe this transformation in words
3.3.2 / Give the coordinate of the new point C
3.3.3 / Write the rule for this transformation
3.4 / Move the red point to the coordinates and the other to
3.4.1 / Describe this transformation in words.
3.4.2 / Give the equation for the line that the image is reflected around.
3.4.3 / Give the coordinate of the new point C.
3.4.4 / Write the rule for this transformation.
Question 4:Enlargements and reductions
Tick the box to dilate the image around point A with scale factor k (blue slider)
4.1 / Describe in your own words what a reduction transformation is.4.2 / What values of will reduce the size of the image?
4.3 / Describe in your own words what anenlargement transformation is.
4.4 / What values of will enlarge the size of the image?
4.5 / Move the slider to value
4.5.1 / Describe this transformation in words.
4.5.2 / Give the coordinate of the new point C.
( )
4.5.3 / Write the rule for this transformation.
4.6 / Move the slider to value
4.6.1 / Describe this transformation in words.
4.6.2 / Give the coordinate of the new point C.
4.6.3 / Write the rule for this transformation.
4.7 / Area of rectangle is
4.7.1 / Determine is the area of the original image.
4.7.2 / What is the area of the image if ?
4.7.3 / What is the area of the image if ?