Geometry Worksheet 9.5
Name __________________
Per ___ Date ____________
Identify the order and magnitude for the rotational symmetry of each figure.
1. order: _______
2. order: _______
3. order: _______
Magnitude: ___________
Magnitude: ___________
Magnitude: ___________
4. order: _______
Magnitude: ___________
5. order: _______
Magnitude: ___________
6. order: _______
Magnitude: ___________
7. QRSP is dilated to create Q’R’S’P’. Find the length of each:
CR = _____, CR’ = _____
CQ = _____, CQ’ = _____
CP = _____, CP’ = _____
CS = _____, CS’ = _____
Based on your measurements, what is the scale factor of the dilation?______
Is it an enlargement or dilation? ______________
Determine if the dilation (dotted image) of the original image is an
enlargement or reduction. Determine the scale factor, if possible.
8. _______________
9. _______________
10. _______________
Scale Factor:__________
Scale Factor:__________
Scale Factor:__________
Dilate each image as directed.
11. Centered at the origin, scale factor of 2.
A’ (____, ____)
B’ (____, ____)
C’ (____, ____)
AB = _______
A’B’ = _______
BC = _______
B’C’ = _______
CA = _______
C’A’ = _______
12. Centered at the origin, scale factor of ½.
A’ (____, ____)
B’ (____, ____)
C’ (____, ____)
AB = _______
A’B’ = _______
BC = _______
B’C’ = _______
CA = _______
C’A’ = _______
13. Dilate the triangle MKJ with the center at the origin with a scale factor of 4. Show
the coordinates and side lengths for each triangle. Find the perimeter and area for each
triangle. How does the scale factor affect the perimeter? How does the scale factor
affect the area?
Perimeter of MKH:
Area of MKH:
Perimeter of M’K’H’:
Area of M’K’H’:
Relationship between perimeters?
Relationship between areas?
14. Quadrilateral ABCD has coordinates A(1, 1), B (4, 1), C(2, 2), and D(1, 2).
A) Dilate the quadrilateral with the
center at the origin with a scale
factor of 3.
B) Show the coordinates and side
lengths for each quadrilateral.
A’ (___, ___) B’ (___, ___)
C’ (___, ___)
AB= ____
A’B’=____
BC= ____
B’C’=____
CD=____
C’D’=____
DA= ____
D’A’=____
D’(___, ___)
C) Find the perimeter and area for each quadrilateral.
D) How does the scale factor seem to affect the perimeter?
The perimeter of the dilated figure is ________________ the perimeter of the
original with a scale factor of _____________.
E) How does the scale factor seem to affect the area?
The area of the dilated figure is ________________ the area of the original with a
scale factor of _______________.