Translation, Rotation, Reflection, or any combination of these.
Transformation
Move every point in a figure a given distance in a given direction
Translation
Angle that is exactly 180 degrees
Straight Angle
Triangle with 3 different side lengths
Scalene Triangle
Polygon with 4 sides
Quadrilateral
A figure that can be transformed to another figure and fit exactly over it; two figures that are exactly the same
Congruent
Move every point in a figure across a given line directly on the opposite of that line.
Reflection
Two angles who's sum is 90 degrees
Complementary
The angles in a triangle must add to this:
180 degrees
What is the smallest amount of sides a polygon can have?
3 (Triangle)
A movement that does not change the measurements of a figure
Rigid Transformation
Move every point in a figure around a center point by a given angle in a specific direction
Rotation
Two angles that are next to each other
Adjacent Angles
Given 3 measurements, what are the choices for how many unique triangles can be made?
One, none, or many
At a park, the slide is 5 meters east of the swings. Lin is standing 3 meters away from the slide. What is the farthest Lin could be to the swings?
8 meters away
A line that crosses another line
Transversal
Describe a sequence of transformations to get Triangle ABC to Triangle A'B'C'.
Reflection over y-axis
Translate 2 units down
Opposite angles that are formed by intersecting lines, share the same vertex, and have the same measurement.
Vertical Angles
How many unique triangles can be made with an angle measuring 60 degrees, an angle measuring 120 degrees, and a side length of 8 cm?
None
(60+120=180, no extra room for a 3rd angle)
At a park, the slide is 5 meters east of the swings. Lin is standing 3 meters away from the slide. What is the closest Lin could be to the swings?
2 meters away
Angles created when parallel lines are crossed by a transversal; the angles inside the parallel lines and on opposite sides of the transversal
Alternate Interior Angles
Describe a sequence of transformations that takes Triangle ABC to Triangle DEF.
Rotate 90 degrees clockwise around B
Translate 4 down and 3 right
If the measurement of angle b is 35 degrees, what are the measurements of angles c, d, and e?
c = 35 degrees
d = 145 degrees
e = 145 degrees
How many unique triangles can be made with side lengths of 5cm, 4cm, and 7cm?
One
How many different quadrilaterals can I make with side measurements of 4in, 5in, 6in, and 9in?
Many
(There are lots of different angle measurements I can create with these side lengths)