Definitions
What is the definition of congruent figures?
Two figures that are the exact same size and shape (side lengths and angle measures)
What details do you need to include for a reflection?
A line of reflection.
A square has a side length of 6 and was dilated by a scale factor of 1/2. What are the new side lengths?
3 (four sides that are all 3)
Triangle A has angles: 45, 45, 90. Triangle B has two 45 degree angles and one 90 degree angle. Are they similar?
Yes, the triangles add up to 180 degrees and the angle measures are the same.
What is the definition of a rigid transformation?
A transformation that preserves all angle measures and side lengths.
What details do you need to include for a translation?
Direction & number o units
A square has a side length of 2 and a scale factor of 2. What are the new side lengths?
4 (four sides that are 4).
Rectangle 1 has 4 right angles and rectangle 2 has 4 right angles. Are they similar?
There is not enough information to determine. You need to also see if side lengths have the same scale factor.
What is the definition of a dilation?
A transformation in which each point of a figure moves a certain distance from a fixed point.
What details do you need for a rotation?
Degrees, Center of Rotation, and Direction
Triangle ABC has side of 2, 3, & 5 that are dilated with a scale factor of 2. What are the new sides?
4, 6, & 10
Triangle A has 60 degree and 40 degree angles. Triangle B has a 40 degree and 80 degree angles. Are these triangles similar?
Yes! The missing angle in triangle A is 80 degrees and the missing angle in triangle B is 60 degrees. Both triangles have the same angles that add up to 180 degrees.
What is the definitions of Center of Dilation?
A fixed point on the plan. It is the starting point from which we measure distanced in a dilation.
What details do you need for a dilation?
Center of dilation & scale factor
A figure which has side lengths of 4, 8, and 10 is dilated with a scale factor of 4. What are the new side lengths?
16, 32, & 40.
There is one triangle with two 25 degree angles and one triangle with one 25 degree and one 100 degree angle. Are they similar?
No! The missing angle in the first triangle is 130 degrees. The missing angle in the second triangle is 55 degrees. They don't have the same angles.
What is the definition of similar figures?
Two figures that are the same shape and have the same angle measures, but are dilated by a scale factor.
What details do you need for a dilation and rotation?
Dilation: Center of dilation & Scale Factor
Rotation: Center of rotation, Degrees, & Direction
A figure has side lengths of 3, 9, 12, & 45 with a scale factor of 1/3. What are the side lengths after the dilation?
1, 3, 4, & 15.
Triangle 1 and 2 are both isosceles triangles. Triangle 1 and 2 each have a 35 degree angle. Are they similar?
We don't have enough information to determine that! They could have one or two 35 degree angles.