Motions Properties
What are the three basic rigid motions?
Translation
Reflection
Rotation
What transformation maps the blue figure to the red figure?
Translation
What does the Triangle Sum Theorem state?
The interior angles of a triangle add up to 180 degrees.
What is the measurement of angle 2?
72 degrees
Name a pair of alternate interior angles.
∠3 and ∠6
OR
∠4 and ∠5
What do you reflect an object across?
Where is the line of reflection located?
x-axis
What is the measurement of angle T?
71 degrees
What is the measurement of angle x?
90 degrees
Name a pair of alternate exterior angles.
∠1 and ∠8
OR
∠2 and ∠7
What are the two directions of a rotation?
Clockwise
Counter-Clockwise
Identify the point of rotation.
The Origin (0,0)
What is the measurement of angle C?
26 degrees
What is the measurement of angle X and Y?
X is 90 degrees
Y is 60 degrees
What type of angles are shown below?
Corresponding Angles
What two pieces of information does a vector tell us about a translation?
Direction
Distance
Describe the movement of the following translation.
Down 7 units
Right 9 units
What is the measurement of angle C?
65 degrees
Write an equation to represent the measurement of the exterior angle 4?
∠4 = ∠1 + ∠2
OR
∠3 + ∠4 = 180
Identify ∠6 and ∠8 angle relationship.
Vertical Angles
What happens to lengths of segments and measures of angles under any transformation?
They are preserved
What are the series of rigid motions that would map ∆ABC onto ∆A''B''C''? (include directional details)
Refection across the x-axis
Translation 5 units to the left and 2 units down
In a triangle ABC, if angle A = 55°, angle C = 50°, then angle B = ?
75 degrees
What does the Exterior Angle Theorem state?
An exterior angle is equal to the sum of its two remote interior angles.
Identify ∠6 and ∠7 angle relationship.
Linear Pair