Rigid Transformations
Dilations
Similarity
Scale Drawings
Triangles
100
Name the three transformations:
Reflection, Rotation, Translation
100
True or False? Dilations always make a figure smaller.
False
100
These two things make up the similar figures checklist.
1) Proportional corresponding sides
2) Equal corresponding angles
100
Write a ratio in the simplest form to represent a scale where 4 cm represents 20 feet.
1:5
100
The sum of all interior angles in a triangle will always equal this number.
180^o
200
What will bring the shape back to the start?
- 90 degrees ccw
- Reflection right over the y-axis
- Reflection left over the y-axis
- 90 degrees cw
200
A dilation might change the size of a figure's side lengths but never the _______.
angles
200
What geometric transformations can be used to prove similarity.
1) Translations
2) Rotations
3) Reflections
4) Dilations
200
A park measures 500 meters by 300 meters. If Jared creates a scaled drawing 1 cm:50 m what are the drawing measurements?
10 cm by 6 cm
200
If two triangles have _____ of their angles equal, the triangles are similar.
two / three
300
Describing a reflection requires:
1) Line of reflection
2)
300
Dilations always produce ___________ figures.
similar
300
Congruent figures are _____ similar.
(sometimes, always)
always
300
A pool measures 6 meters by 9 meters.
If the shortest side on the drawing is 3 cm, what is the longest side of the drawing?
4.5 cm
300
What is the measure of the missing angle?
35^o
400
Describing a rotation requires these three things.
1) Center (Point of Rotation)
2) Rotation angle (Degrees)
3) Direction (Clockwise or Counterclockwise)
400
Dilations need these two things.
1) Center Point of Dilation
2) Scale Factor
400
Similar figures are ____ congruent.
(sometimes, always)
sometimes
400
A blueprint shows a rectangular garden with a scale of 1 cm = 5 m. On the drawing, the garden’s dimensions are 6 cm by 4 cm.
Question:
What is the actual perimeter of the garden in meters?
100 m
400
Similar or Not? Why?
Similar
500
Triangle ABC has vertices:
A(1,2), B(4,2), C(2,5)
Find the coordinates from the following sequence:
- Reflect the triangle over the y-axis.
- Translate the resulting triangle 3 units up and 2 units right.
A′′(1,5), B′′(−2,5), C′′(0,8)
500
How will dilating a figure with a scale factor of 1/3 change a figure?
It will make the figure 3 times smaller from the center of dilation.
500
Dilations can result in a congruent figure if their scale factor is this number.
1
500
A blueprint shows a rectangular playground with a scale of 1 cm = 4 m. On the drawing, the playground’s dimensions are 5 cm by 7 cm.
Question:
What is the actual area of the playground in square meters?
560 square meters
500
These two triangles are similar. Find the missing side lengths.
s=12
t=15