Transformations
What are the different types of transformations?
translations, rotations, dilations, reflections
What is an inverse operation?
operations that "undo" the original operation being shown
Define congruent vs. similar shapes
Congruent shapes are the exact same whereas similar shapes have the same shape but different sizes
Define a polygon
A polygon is a closed shape with 3 or more sides and angles
Define interior and exterior
Interior: inside
Exterior: outside
What is the result of translating point (3, 5) by 4 units right and 2 units down?
(7, 3)
6x=24
x=4
A rectangle measures 4cm by 6cm. Another rectangle measures 8cm by 12cm. Are these rectangles congruent, similar, or neither?
Similar
What is the formula for figuring out the sum of all interior angles?
(n-2) x 180
What is the sum of any interior angles of a triangle?
180 degrees
A triangle has vertices A (1, 1), B (4, 1), and C (4, 5). What are the new locations of each point after a 180 degree rotation?
A (-1, -1)
B (-4, -1)
C (-4, -5)
x/2=10
x=20
Describe a transformation in which 2 shapes can be congruent
Translations, Rotations, or Reflections
Find the sum of the angle measures of a hexagon
540
A triangle has two interior angles measuring 40 degrees and 60 degrees. What's the measure of the third interior angle?
75 degrees
What is the rule for a reflection across the x-axis? Across the y-axis?
x-axis: (x, -y)
y-axis: (-x, y)
5(x-2)+7=22
x=5
When shapes are similar, what remains the same about them?
shape and angle measures
If the sum of all angles measures is 1,440 degrees, how many sides does the shape have?
10
A triangle has two interior angles measuring 60 degrees and 75 degrees. What is the measure of the exterior angle?
135 degrees
Explain how the scale factor affects the size of a figure during dilation? What if the dilation is between 0 and 1?
The scale factor determines whether or not a shape is enlarged or reduced. If the scale factor is greater than 1, the shape is enlarged. If the scale factor is less than 1, the shape is reduced
-5(1-5x)+5(-8x-2)=-4x-8x
x= -5
One triangle measures 5ft by 7ft by 12ft. Another triangle measures 10ft by 14ft by 27ft. Are these triangles congruent, similar, or neither?
Neither
Name all pentagons from 3 sides to 10 sides
3: Triangle
4: Square
5: Pentagon
6: Hexagon
7: Heptagon
8: Octogon
9: Nonagon
10: Decagon
If one interior angle is 90 degrees and another is 45 degrees, find the exterior angle and the third interior angle
Interior Angle: 45 degrees
Exterior Angle: 135 degrees