10.5: Exercises
- Page ID
- 32004
- Identify the image of point P under the following transformations.
- a translation along vector
- a reflection across line l
- a counterclockwise rotation of 90° about point O
- A glide-reflection across l and along
E | ||||||||||
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B | C | |||||||||
D | ||||||||||
l | A | |||||||||
P | ||||||||||
- Identify the image of point P under the following transformations.
- a translation along vector
- a reflection across line l
- a counterclockwise rotation of 90° about point O
- A glide-reflection across l and along
D | l | E | ||||||||
O | C | |||||||||
B | ||||||||||
P | ||||||||||
A | ||||||||||
- Identify the image of point P under the following transformations.
- a translation along vector
- a reflection across line l
- a counterclockwise rotation of 90° about point O
- A glide-reflection across l and along
F | C | |||||||||
E | ||||||||||
O | P | |||||||||
A | l | |||||||||
B | ||||||||||
- Identify the image of point P under the following transformations.
- a translation along vector
- a reflection across line l
- a clockwise rotation of 90° about point O
- A glide-reflection across l and along
C | ||||||||||
F | ||||||||||
E | ||||||||||
O | P | |||||||||
A | ||||||||||
B | ||||||||||
- Identify the image of point P under the following transformations.
- a translation along vector
- a reflection across line l
- a clockwise rotation of 90° about point O
- A glide-reflection across l and along
F | ||||||||||
E | ||||||||||
P | l | |||||||||
O | ||||||||||
A | ||||||||||
B | ||||||||||
C |
- Translate the figure along vector .
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- Translate the figure along vector .
- Translate the figure along vector .
- Translate the figure along vector .
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- Rotate the figure 90° clockwise about the rotocenter R.
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- Rotate the figure 90° clockwise about the rotocenter R.
- Rotate the figure 180° clockwise about the rotocenter R.
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- Rotate the figure 180° clockwise about the rotocenter R.
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- Reflect the figure over the line l.
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- Reflect the figure over the line l.
- Reflect the figure over the line l.
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- Reflect the figure over the line l.
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- Glide-reflect the figure over the line l and along the vector .
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- Glide-reflect the figure over the line l and along the vector .
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- Glide-reflect the figure over the line l and along the vector .
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- Glide-reflect the figure over the line l and along the vector.
- In the figures below, identify the types of symmetry. If there are rotation symmetries, identify the degree(s) of rotation. If there are reflection symmetries, draw the line(s) of reflection.
- b.
- In the figures below, identify the types of symmetry. If there are rotation symmetries, identify the degree(s) of rotation. If there are reflection symmetries, draw the line(s) of reflection.
- b.
- In the figures below, identify the types of symmetry. If there are rotation symmetries, identify the degree(s) of rotation. If there are reflection symmetries, draw the line(s) of reflection.
a. b.
- In the figures below, identify the types of symmetry. If there are rotation symmetries, identify the degree(s) of rotation. If there are reflection symmetries, draw the line(s) of reflection.
a. b.
- In the figures below, identify the types of symmetry. If there are rotation symmetries, identify the degree(s) of rotation. If there are reflection symmetries, draw the line(s) of reflection.
a. b.
- In the figures below, identify the types of symmetry. If there are rotation symmetries, identify the degree(s) of rotation. If there are reflection symmetries, draw the line(s) of reflection.
a. b.
- Enlarge the figure with respect to the point P by a factor of 2.
P | ||||||||||
- Enlarge the figure with respect to the point P by a factor of 2.
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- Enlarge the figure with respect to the point P by a factor of 2.
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- Enlarge the figure with respect to the point P by a factor of 2.
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- Shrink the figure with respect to the point P by a factor of .
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- Shrink the figure with respect to the point P by a factor of .
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- Shrink the figure with respect to the point P by a factor of .
- Shrink the figure with respect to the point P by a factor of .
P | ||||||||||
- Triangles A and are similar and are related by the scale factor of 3.
- If the perimeter of triangle A is 12 ft, find the perimeter of .
- If the area of triangle A is 8 ft2, find the area of .
- Triangles A and are similar and are related by the scale factor of 4.
- If the perimeter of triangle A is 48 ft, find the perimeter of .
- If the area of triangle A is 140 ft2, find the area of .
- Triangles A and are similar and are related by the scale factor of 5.
- If the perimeter of triangle A is 42 ft, find the perimeter of .
- If the area of triangle A is 68 ft2, find the area of .
- Triangles A and are similar and are related by the scale factor of 2.
- If the perimeter of triangle A is 42 ft, find the perimeter of .
- If the area of triangle A is 80 ft2, find the area of .
- The shapes A and are similar.
A
8 18
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- If the perimeter of rectangle A is 22 ft, find the perimeter of .
- If the area of rectangle A is 24 ft2, find the area of .
- The shapes A and are similar.
A
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18
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- If the perimeter of triangle A is 32 ft, find the perimeter of .
- If the area of triangle A is 48 ft2, find the area of .
- Find the value of x so that the red larger rectangle on the right is a gnomon to the blue smaller rectangle on the left.
10
4 x
- Find the value of x so that the red L-shape is a gnomon to the blue rectangle.
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15
- Find the value of x so that the red triangle on the right is a gnomon to the blue triangle on the left.
9 9
6 x
- Find the values of x and y so that the red trapezoid is a gnomon to the blue triangle.
4 5
- Compute the values of the following.
- Compute the values of the following.
- Compute the values of the following using Binet’s simplified formula.
- Compute the values of the following using Binet’s simplified formula.
- Given and , find and .
- Given and , find and .
- Solve the quadratic equation .
- Solve the quadratic equation .
- Solve the quadratic equation .
- Solve the quadratic equation .
- Solve the quadratic equation .
- Solve the quadratic equation .