Angle Relationships
Algebra with Angle Relationships
Single Transformation
Multiple Transformations (Sequence)
Proofs
100
The diagonal line that intersects a pair of parallel lines is called what?
Transversal
100
Find the value of the missing angle:
76 degrees
100
Describe the following transformation:
Name the type of transformation, the exact movement (Ex: reflection across x-axis), and the rule (x,y) --> (x,-y)
Reflection across y-axis: (x,y) --> (-x,y)
100
If you are given a set of points labeled:
A", B", C" and D" how many transformations have been made on those coordinates?
Two
100
What should always be the first line of a proof????
The given information
200
Angles A and AB have what kind of relationship? And they are ___________________
Vertical angles, congruent
200
Find the measure of angle F:
140 degrees
200
Describe the following transformation:
Name the type of transformation, the exact movement (Ex: reflection across x-axis), and the rule (x,y) --> (x,-y)
180 degree rotation: (x,y) --> (-x,-y)
200
Describe the series of transformations that take the pre-image to the image:
Reflection across y- axis, translated down one unit
200
What is the reason that should go in row 2?
Alternate interior angles are congruent.
300
Angles 2 and 6 are ________________________ angles. And they are ___________________.
Corresponding, congruent
300
Find the value of x, assuming that the lines are parallel:
75 degrees
300
Describe the following transformation:
Name the type of transformation, the exact movement (Ex: reflection across x-axis), and the rule (x,y) --> (x,-y)
Translation 5 left and up 3: (x,y) --> (x+5, y+3)
300
Describe the series of transformations used to take the pre-image to the image:
Rotated 90 degrees clockwise, then translated down 6 units
300
What reason should pair with the last statement in this proof?
Substitution
400
Angles 1 and 7 are ___________________ and they are _______________________.
Alt. ext, congruent
400
Find the value of x, assuming that the lines are parallel:
x = 50
400
Describe the following transformation:
Name the type of transformation, the exact movement (Ex: reflection across x-axis), and the rule (x,y) --> (x,-y)
Rotation 90 degrees clockwise or 270 degrees counterclockwise: (x,y) --> (y,-x)
400
Take the following points, rotate them 180 degrees around the origin, and then reflect across the x-axis:
A (-4,1) B (3,5) C (-2, -3)
A'' (4,1) B'' (-3,5) C'' (2,-3)
400
Fill in the reasons for statements 3 and 4:
3. Substitution
4. If corresponding angles are congruent, the lines are parallel
500
Angles 4 and 5 are ____________________ angles and they are _______________________.
Same side interior, supplementary
500
Find the measure of the top angle. NOT X!!!
85 degrees
500
What type of translation is demonstrated below?
Be SPECIFIC!!!!
A (4, 10) B (2,-2) C (6, -6)
A' (6, 15) B' (3, -3) C' (9,-9)
Dilation of 1.5
500
Take the following points rotate them 270 degrees clockwise, reflect over the y-axis, and then dilate those points by 2.
A (-1,1) B (3,-2) C (-1,5)
A' (-1,1) B' (2,3) C' (-5,-1)
A'' (1,1) B'' (-2,3) C'' (5,-1)
A'''(2,2) B''' (-4,6) C''' (10,-2)
500
Fill in the first 4 reasons for the first four statements of this proof:
1. Given
2. Vertical angles are congruent
3. Same side interior angles are supplementary
4. Definition of supplementary angles