ANGLE RELATIONSHIPS
A line that crosses two or more parallel lines is called this.
Transversal
The interior angles of any triangle add up to this.
What is 180°?
A figure is moved 5 units to the right without changing its size or shape. What transformation is this?
Translation
Two figures have the same shape and the same size. What are they called?
Congruent
Point A is at (2, 3). It is translated 4 units to the right. What are the new coordinates?
(6, 3)
Two angles are on opposite sides of a transversal and between two parallel lines. What are they called?
Alternate interior angles
A triangle has angles of 65° and 45°. This is the third angle.
70°
A figure is flipped over a line. What transformation is this?
Reflection
True or False:
A translation can create a figure that is congruent to the original.
True
Point B is at (5, 2). It is translated 3 units down. What are the new coordinates?
(5, -1)
Two parallel lines are cut by a transversal. One angle measures 128°.
What is the measure of an alternate interior angle?
128°
A triangle has angles of x°, x°, and x°. What is the angle measurements?
60°
A figure is turned around a fixed point. What transformation is this?
Rotation
Triangle A can be rotated and then translated to exactly match Triangle B. Are the triangles congruent?
Yes
Point C is at (4, -2). It is reflected across the x-axis. What are the new coordinates?
(4, 2)
Two vertical angles are formed. One angle measures 75°. What is the measure of its vertical angle?
65°
Because: 180-115=65
Triangle 1 has angles of 50° and 60°. Triangle 2 has angles of 60° and 70°. Are they similar?
YES, because both triangles have angles of 50°, 60°, and 70°?
A student says, "Two figures cannot be congruent if one has been reflected." Is the student correct?
No. A reflection preserves the size and shape of a figure.
Point (−1, 4) rotated 90° clockwise about the origin.
(4, 1)
Triangle ABC has coordinates:
The triangle is translated 3 units left and 2 units down.
What are the coordinates of A′, B′, and C′?
A′ = (-2, 0)
B′ = (1, 0)
C′ = (-2, 3)
A figure is translated 4 units right and then rotated 90°. Has the figure changed size or shape?
No. It remains congruent because translations and rotations preserve size and shape.