Unit 1
Reasoning based on patterns you observe.
What is Inductive Reasoning?
Two rays that share an endpoint and form a line.
What are Opposite Rays?
The three types of BASIC transformations of a polygon.
What are Translation, Rotation, and Reflection?
Theorem: If two sides of a triangle are congruent, then the opposite angles are congruent.
What is the Isosceles Triangle Theorem?
A quadrilateral with exactly one pair of parallel sides.
What is a Trapezoid?
The next two numbers of the pattern below.
1, 4, 16, 64, __, __
What are the numbers 256 and 1024?
Slope of lines AB and CD are both 2/5.
What is both line AB and line CD are parallel?
Solve: Figure J has points (-1, 5) , (-2, 7) , and (-4, 6). Figure K has points (-2, 2) , (-3, 4) , and (-5, 3). Figure out the translation of Figure J onto Figure K.
What is the translation 3 units down and 1 unit left?
An Equilateral Triangle has two sides that are 12, find the last angle.
What is 12?
Find the measure of one exterior angle in a polygon: Regular octagon.
What is 45?
The counterexample of the conjecture below.
Every month has 31 days.
What are the months April, June, September, November, And February?
The quadrant of the points (-7, -5) graphically.
What is quadrant 3?
The equation for the graph of y=x2 is translated 2 units left and then 6 units up.
What is y=(x+2)2 +6?
Triangle LMN is congruent to QRS. Find m angle S. Angle L = 31 and Angle R = 108.
What is m angle S = 41 degrees?
Find why the perimeter of HIJK must be 18.
HI = 5 and HK = 4.
What is HIJK = 18? This is because 5 + 5 + 4 + 4 =18. 5 goes onto the opposite which is JK = 5 and 4 goes onto the opposite which is IJ = 4.
The conditional statement of the statement below.
Cheetahs are a type of cat.
What is, If you are a cheetah, then you are a type of cat?
Point X is on line segment WY. XY = 9 and WX = 3. Find the length of WY.
What is WY = 12?
ABCD is congruent to WXYZ. Line BC = 6.2 , Line YZ is 5.7. Find Line XY and Line CD.
What is Line XY = 6.2 and Line CD = 5.7?
Solve: 2x+3 = 4x-7.
What is 5=x which turns into x=5?
Solve for x: EF = x+1 , GH = 2x-3.
What is x = 4?
The 43rd term in the pattern below.
A, B, C, D, E, F, G, H, I, J
What is the letter C?
The midpoint of points C(9,2) and D(-1,-6) graphically.
What is the point (4,-2)?
The image point (-2, -3) after a rotation 90 degrees counterclockwise about the origin.
What is point (-3,2)?
Find the value of x and m angle L.
Angle K = 6x.
Angle L = 7x-4
Angle M = 3x+8
What is x = 11 and m angle L = 73?
Polygon DOLPHIN is a regular heptagon.
A. Find the sum of the measures of the exterior angles.
B. Find the sum of the measures of the interior angles.
A. What is 360?
B. What is 900?