Show:
Reflection
Translation
Rotation
Angle Relationships
Remote Exterior Angle
100
What is the definition of a reflection?
A flip that creates a mirror image of a figure
100
What is the definition of a translation?
Sliding an object in a straight path (up, down, left, right, and diagonally)
100
What is definition of rotation?
turning an object around a point of rotation
100
When two acute angles add up to 90 degrees and two obtuse angles add up to 180 degrees.
Complementary angles and Supplementary angles
100
The Exterior Angle Theorem states that the exterior angle is equal to what?
The sum of the two interior angles.
200
If N(2, 4) is reflected in the line y = 2, then what is N'?
(2,0)
200
What is the new coordinate for H (-3, 4) when translated 5 units up?
H (2, 4)
200
These refer to the degrees and direction of rotation.
Degrees: 90, 180, 270, 360 Direction: clockwise (right), counterclockwise (left)
200
Name the relationship between the angles described: These angles are formed by an "x" and are opposite each other. They are always congruent.
Vertical Angles
200
Find the exterior angle when the two interior angles are 73 and 58.
131
300
If coordinate C (9,1) is reflected over the x axis, what are the coordinates of C'?
(9, -1)
300
What is the new coordinate for R (4, -9) when translated 2 units right and 5 units up?
R (6, -4)
300
What are the coordinates of A' B' and C' when triangle ABC is rotated 90 degrees clockwise about the origin. A = (-1,1), B = (2,4), and C = (2, -5).
A' = (1, 1) B' = (4, -2) C' = (-5, -2)
300
Name the relationship between the angles described: These angles are on opposite sides of the transversal and outside the two lines.
Alternate Exterior Angles
300
Solve for x when the exterior angle equals 7x + 13 and the interior angles are 7x + 4 and x - 9.
x = 18
400
If coordinate U (0,9) is reflected over the x axis, what are the coordinates of U'?
(0, -9)
400
What is the new coordinate for S (9,0) and E (2, 0) when both are translated 3 units left and 7 units up?
S (6, 7) E (-1, 7)
400
Find the image of each point under a 90 degree clockwise rotation about the origin for M(-4,-5)
M'(-5,4)
400
Name the relationship between the angles described: angles that are on the same side of the transversal and in the same location at each intersection. They are always congruent.
Corresponding Angles
400
Solve for x when the exterior angle is 3x and the two interior angles are x - 7 and 21.
x = 7
500
If coordinate V (5,5) is reflected over the Y axis and then translated up 3 units, what is the new coordinate?
(-5, 8)
500
What are the new coordinates for triangle ABC when each point is translated 8 units left and 3 units down? A: (-1, 3) B: (-5, 3) C: ( -3, 7)
A: (-9, 0) B: (-13, 0) C: (-11, 4)
500
Rotate quadrilateral ABCD 90 degrees counterclockwise A (-4, 6), B (-1, 6), C (-2, 2), D (-5, 2)
A' (-6, -4), B' (-6, -1), C' (-2, -2), D' (-2, -5)
500
Name the relationship between the angles described: these angles are on same side of the transversal and on the inside of the given lines. They are supplementary to each other.
Same Side Interior Angles
500
Solve for x when the exterior angle equals 5x - 6 and the two interior angles equal x and 2x + 86.
x = 46