Transformations
What is the term for a transformation that flips to figure over a line?
Reflection
What is the definition of a line?
A line is a straight path that extends infinitely in both directions and defined by at least two points
What is the formula to find the distance between two points on a coordinate plane?
d = √[(x2 – x1)2 + (y2 – y1)2]
What is the measure of a right angle?
90 degrees
What is the hypothesis in the conditional statement: ”if it rains, then the ground gets wet”?
It rains
What transformation moves every point of a figure the same distance in the same direction?
Translation
What is the name of a flat surface that extends infinitely in all directions?
Plane
What is the term for the point that divides a segment into two equal parts?
Midpoint
What is the term for two angles that add up to 180°?
Supplementary angles
What is the converse of the conditional statement: “if it is a dog, then it has four legs”?
If it has four legs, then it is a dog.
What is the name of the transformation that turns a figure around a point by a certain angle?
Rotation
Define a line segment
A part of a line that has two end points
Use the distance formula to find the distance between the points (1,2) and (4,6)
5 units
If two angles are both supplementary and congruent, what is their measure?
Each angle is 90°
What is a counterexample for the statement “if an animal is a bird, then it can fly”?
Penguin or ostrich
Describe a dilation and how it affects the size of a figure.
A dilation enlarges or reduces a figure by a scale factor, but does not change its shape
If two distinct planes intersect, what is their intersection?
A line
What is the midpoint of the segment with endpoints (2,3) and (6,7)?
(4,5)
What is the measure of an angle that is complementary to a 35° angle?
55°
What is this sequence called: 1,1,2,3,5,8,13
What would be the next term in the sequence?
Fibonacci sequence and 21
A triangle has vertices at (1,2), (1,7), and (2,-1). After a translation of (x-3, y+4), what are the coordinates of the new vertices?
The new vertices are (-2,6), (-2,11), and (-1,3)
Describe collinear points
Points that lie on the same line
Find the midpoint of a segment with endpoints (-3,5) and (7,-1)
(2,2)
Two angles, ∠X and ∠Y, are supplementary. The measure of ∠X is three times the measure of ∠Y. What is the measure of ∠X?
135
What is the contrapositive of the statement “if it is raining, then the grass is wet”?
If the grass is not wet, then it is not raining.