Transformations
(x, y) -> (-x, y)
What is a reflection over the y-axis?
The selected term is multiplied/divided by a constant to get the next term.
What is a geometric sequence?
When p = action and q = result, then the statement that takes the form if p -> q.
What is a conditional statement?
A shape that has five equal sides.
What is a pentagon?
This has one endpoint and extends forever in one direction.
What is a ray?
(x, y) -> (x + a, y + b)
What is a translation a units right/left and b units up/down?
The explicit rule for the sequence 24, 30, 36, 42, 48...
What is 6n + 18?
When given a conditional in the form of if p -> q, the sentence that takes the form if q -> p.
What is a converse statement?
A shape that has two pairs of parallel lines.
What is a parallelogram?
An angle that measures exactly 90 degrees.
What is a right angle?
(x, y) -> (y, x)
What is a reflection over y = x?
A sequence whose second difference between two terms is constant. Hint: the numbers that make up the differences can be written as a linear sequence
What is a quadratic sequence?
Birds lay eggs.
Conditional: if it's a bird, then it lays eggs.
Converse: if it lays eggs, then it's a bird.
The sentence we would write for this conditional/converse pairing.
What is a counterexample?
A shape that has three sides, and at least two sides are equal in length. They also share two equal angles.
What is an isosceles triangle?
An angle that has a measure between 180 and 360 degrees.
What is a reflex angle?
(x, y) -> (kx, ky)
What is a dilation with respect to the origin with a scale factor of k?
1, 1, 2, 3, 5, 8, 13...
What is the Fibonacci sequence?
A square is four-sided shape with equal sides.
Conditional: if it's a square, then it's a four-sided shape with equal sides.
Converse: if it's a four-sided shape with equal sides, then it's a square.
The sentence we would write for this conditional/converse pairing.
What is a bi-conditional statement?
A shape that has an infinite number of lines of symmetry.
What is a circle?
Two angles whose measures add up to 90 degrees.
What are complementary angles?
(x, y) -> (-y, x)
What is a rotation 270 clockwise or 90 degrees counterclockwise?
The 25 Problem: write 25 as a sum. Then multiply the number you used in your sum. Try to get the BIGGEST possible product!
What is infinity?
A line segment on a graph is one-dimensional and connects two points.
Conditional: if it's a line segment, then it's one-dimensional and connects two points.
Converse: if it's one-dimensional and connects two points, then it's a line segment.
The sentence we would write for this conditional/converse pairing.
What is a bi-conditional statement?
A shape with six sides and angles, but they are not all equal in measure.
What is an irregular hexagon?
Angles that occupy the same relative position on a straight line.
What are corresponding angles?