Transformations
Tools of Geometry
Reasoning and Proof
// and Perp Lines
Triangles
100
Define Symmetry.
What is when one half of a shape reflects the same exact half on the other side of the axis.
100
Define a Ray.
What is a never ending line that extends from one point
100
Define a conditional statement.
What is an if, then statement that has a hypothesis that leads to a conclusion.
100
Define perpendicular lines.
What is a line that intersects a straight line and has 90 degrees at both angles.
100
Define SSS.
-What is when 3 sides of one triangle are congruent to 3 sides on another triangle -SIDE, SIDE, SIDE
200
What are your coordinates (in x,y form) when you rotate your shape over the y-axis?
What is (-x,y)
200
Write out the distance formula?
What is d=√([x2-x1]2+[y2-y1]2)
200
If 2x=16, then x=8 -What is the hypothesis in this biconditional?
What is 2x=16
200
Define parallel lines.
What is two lines that never intersect and go on forever.
200
Theorem 5-6: The perpendicular bisectors of the sides of a triangle are concurrent at a point equidistant from the ________.
What are vertices.
300
Where is the point y(3,7) after after the translation (x+1,y-9)?
What is y'(4,-2).
300
What is the Perimeter of the 16-gon with the side lengths of 2,3,7,5,16,8,9,33,6,7,15,15,23,5,8,10?
What is 172.
300
When you are trying to prove that 1 line is parallel to another line in a proof, what type of theorems/postulates would you use?
What is converse theorems/postulates.
300
If angle x is an alternate exterior angle to 43, what is the measure of angle x?
What is 43.
300
What is the angle measure of the exterior angle when the two opposite interior angles are 55 and 65.
What is 120.
400
What are the new coordinates of J(9,9) after it is rotated 180 degrees?
What is J'=(-9,-9).
400
What is the distance from L(-4,4) to W(4,4)?
What is 8 units.
400
If x^2=16, then x must equal 4. -This conditional is false. Provide a counter example and explain
What is false because (-4)^2=16
400
The slope slope intercept formula for line JK is y=8x+4. What is the slope of of the line that is perpendicular to JK?
What is -1/8.
400
When two congruent triangles share the same line, it uses this property.
What is Reflexive property.
500
Transformations can make changes in what 3 things?
What is position, size, or shape.
500
What are the formulas to find the Circumference and Area of a rectangle?
What is -Circumference: C=πd -Area: A=πr^2
500
Which angles are congruent to each other? http://media.wiley.com/Lux/23/270023.image0.jpg
What are -∠1, ∠4, ∠5, ∠8 -∠2, ∠3, ∠6, ∠7
500
Explain why the slope of a vertical line is undefined.
What is its because there is nothing in the spot of the denominator so it can 'run' (move left or right).
500
What are the two congruent short cuts that do not work and why?
What are AAS and AAA. -AAA- sides could be twice as big but still have same angles. -SAA- there is a non-included side that could be different distances
M
e
n
u