Translations
Reflections
2a. Geometric terminologies and notations
2b. Coordinate Geometry
2c. Angle Relationships
100
What happens to the x-coordinate of a point when you translate it 5 units to the right?
The x-coordinate increases by 5.
100
True or False: To reflect over the X-AXIS, You should change the sign of the X-VALUE of the Ordered Pair.
False. Change the sign of the Y-VALUE in the Ordered Pair to reflect over the X-AXIS.
100
What is a line segment?
A part of a line with two endpoints.
100
If two lines are parallel, what can we say about their slope?
Their slopes are the same.
100
Name a pair of vertical angles
angles 1 and 3 or angles 2 and 4.
200
Is this transformation a translation?
Yes.
200
True or False: To reflect over the Y-AXIS, You should change the sign on the X-VALUE in the ordered pair.
True.
200
Write the following statement using geometric notation: Line AB is parallel to line XY.
AB || XY
200
If two lines are perpendicular, then what can we say about their slopes?
They are opposite reciprocals: eg. The opposite reciprocal of 3/4 is -4/3
200
Angles 1 and 4 have what type of angle relationship?
They are alternate interior angles.
300
How would you translate a point that uses this translation rule?
(x,y) -> (x-1,y+3)
Left 1 unit, up 3 units.
300
True or false: If a shape is reflected over a line, then the distance from the corresponding points are the same distance from the line of reflection (eg. A and A' are the same distance away from the line of reflection.
True.
300
Suppose we have a line with points A, B, and C on it. We can call it line ABC. True or false?
False.
300
What are the coordinates of the midpoint between (2, 4) and (6, 8)?
(4,6)
300
What are the missing angle measurements? What type of angle relationship do B and D have?
Angle B is 135 degrees and angle D is 45 degrees. B and D are consecutive interior angles.
400
Write a translation rule for the following translation: Right 25, down 159.
(x,y) -> (x+25, y-159)
400
Write a reflection rule for this reflection.
(x,y) -> (-x, y)
400
True or false: We can say that ray AB is the same as ray BA.
False
400
Find the equation of the line that passes through the point (5, 7) and has a slope of -2.
y=−2x+17
400
Solve for x.
x = 31.
500
A triangle has vertices at A(2, 1), B(5, 1), and C(2, 4). Translate the entire triangle 3 units to the left and 2 units down. What are the new coordinates of the vertices?
A'(-1,-1), B'(2,-1), C'(-1,2)
500
What series of reflections would you perform on shape Z to get it to shape A?
Reflection over the x-axis, then reflect over the y- axis. Or reflect over the y-axis, then over the x-axis.
500
Draw a figure that contains all four of the following:
A line labeled AB
A ray AR
A line segment GA
A point X on the line AB
Answers vary.
500
Write the equation of a line that is perpendicular to the equation y=2x+9 and has a y-intercept at (0,2).
y=-1/2x+2
500
Solve for y and w.
y=61, w= 119/8 = 14.875.