Determine the equation of the perpendicular bisector using the points (2,6) and (8,18)
What must you find to create the equation?
What is y= -(1/2)x+(29/2) or y=-0.5x+14.5
midpoint and slope
100
The equation for the sum of a polygons interior angles
(use N to represent the number of sides of a polygon)
What is (N-2) * 180º = Sum of the interior angles
100
The difference between congruent shapes and similar shapes
What is congruent polygons have the same length and angles, where similar only have the same angles.
100
The formula to determine whether a triangle is a right triangle.
Bonus: What can we learn about a triangle if its not equal?
What is the Pythagorean Theorem
bonus: Pythagorean inequalities tell us if the triangle is obtuse or acute
100
The 5 line and line segments of a circle
What is chord, radius, diameter, secant line, and tangent line
200
Complete the square: y= x^2 + 6x +1
What is y= (x+3)^2 - 8
200
The difference between a polygon and a regular polygon
What is a regular polygon is equiangular (equal angles) and equilateral (equal sides)
200
The 4 different types of similarity transformations (Include equations/shortcuts if you remember them)
What is dilation, rotation, reflection, and translation
200
Using your knowledge of the Pythagorean Theorem, create the 2 special triangles we learned
(label the angles and leg lengths)
What is:
30°-60°-90°; x, x sqrt 3, and 2x
45°-45°-90°; x, x, x sqrt 2
200
The difference between a central and an inscribed angle.
What is a central arc is connected to the center of the circle by 2 radii, where an inscribed is on the circle, connected to 2 chords. The arc measure is the same as the central angle, where the inscribed is half the arc measure.
300
Determine the output of f(x) = -4x^2+5x-10, for f(3)
What is -31
300
The measurement of each interior and exterior angle of a regular nonagon
What is 140º and 40º
300
Using a shape of your own creation, create a graph showing all 4 transformations
What is your graph better have 5 figures!
300
The values of x and y
What is, using tangent y =18.3 and using Pythagorean theorem x =23.7
300
The measures of the variables
What is x= 50°, y= 90°, z= 120°
400
The expanded form of (2x+5)^2
What is 4x^2+20x+25
400
The names of 3 special parallelograms and how to determine the shape using math
What is rhombus, rectangle, and square.
rhombus: diagonals intersect perpendicularly
rectangle: diagonals are congruent
square: both properties of the other 2
400
The three different ways we can prove triangles are similar (e.g. SSA is not one of the ways)
What is AA, SAS, and SSS
400
The pneumonic for our trigonometric functions.
What is Soh-Cah-Toa
400
What is the relationship between the angles of an inscribed quadrilateral?
What is the opposite vertices add up to 180°
500
Find the roots of the equation y = 5x^2-15x-20
What is x=4, and x= -1
500
Determine which special parallelogram is created by the points:J(−4, 2), K(0, 3), L(1, −1), M(−3, −2)
What is a square. Which also means its a rectangle and a rhombus as well!
500
Determine if the following 2 shapes are proportional:
Triangle ABC: AB=12 , BC=21, AC= 9
Triangle DEF: DE=18, EF=42, DF= 24
What is they are proportional. Compare longest to longest, shortest to shortest, and then compare the remaining sides
500
The minimum amount of information to be able to solve a right triangle. Also find the missing values of the given
What is an angle and a leg, or 2 legs.
x= 10.4 or 6 sqrt 3
y= 30°
z= 60°