Show:
Transformations
Congruence
Angles
Polygons
Middles
100
I am a rotation. I move points like this: (x,y) --> (-y,x)
90 degrees counterclockwise
100
I divide angles or segments into two equal parts.
I am an angle or segment bisector
100
180(n-2)/n
The number of degrees in an interior angle of an n-gon
100
I am a parallelogram with 4 congruent sides whose diagonals meet at 90 degree angles
I am a rhombus
100
I am [(x1 +x2)/2, (y1+y2)/2]
I am the midpoint formula
200
I am a composition of transformations [r(y=x) o T(-1,-2)]. Where do I move point (3,5)? Name the steps.
(3,5)+(-1,-2)-->(2,3)_____r(y=x)(2,3)-->(3,2)
200
I want to show that two lines are parallel using a two-column proof. This is my overall strategy.
Find alternate interior angles of the two lines I want to prove are parallel and then prove they are congruent some other way (e.g., CPCTC)
200
I am the exterior angle theorem for triangles. According to me....
An exterior angle of a triangle is equal to the sum of the two non-adjacent angles
200
I have two sets of congruent adjacent sides, one set of congruent angles, and a bisected diagonal
I am a kite
200
I am a line formed from finding the midpoints of two sides of a triangle. I am equal to some fraction of the side of the triangle I am parallel to. What is that fraction?
I am a midsegment. The fraction is half.
300
I am r(x-axis). I move point (2,-6) to
(2,6)
300
Two triangles are sitting next to each other so that corresponding sides partially overlap. This is your three-part strategy to prove they are congruent.
Reflexive Property, Addition Postulate, and Substitution
300
I am the largest angle in a triangle. I sit across from what size side?
The largest side
300
I am the sum of the exterior angles for ANY polygon
I am 360 degrees
300
The best strategy to find the value of angles bisected by a segment (angles with variables)
Set one equal to the other
400
I am a rectangle with center (4,0). Half of me is above the x-axis and half is below. I want to stand out, to move so that I look different. _____What should I do? _____Explain why._____A) Rotate 180 degrees about (4,0) _____B) Reflect over the line x=4 _____C) Rotate 180 degrees about the origin OR _____D) Reflect over the x-axis
C, rotate 180 degrees about the origin
400
Suppose you have a kite. You know it's a kite, but that's not in the givens. You want to show that the bisected diagonal has congruent pieces. Unfortunately, those sides aren't part of the triangles you can prove congruent. Your strategy?
1) Prove whatever triangles you can are congruent 2) Use CPCTC to find corresponding parts that will allow you to prove that the triangles WITH the bisected diagonal pieces are congruent 3) Use CPCTC once more to finish
400
You set some quantities equal to 180 degrees. You NEVER EVER set others equal to 180. Which are YES and which are NO?
YES: the angles inside a triangle, supplementary angles, and all the angles forming a straight line NO: SIDES of a triangle or other polygon, vertical angles, or bisected angles
400
If an octagon is rotated around its center, this is the minimum number of degrees it must be rotated to carry it onto itself
45 degrees
400
Define centroid
The intersection of lines drawn from a vertex of a triangle to the midpoint on the opposite side
500
I am a point. I go on a trip. Here is my itinerary: R(270) o r(y=-x) o T(-5,7). If I am (6,-2) at the beginning, I become what by the end?
1) Add (6,-2) & (-5,7)-->(1,5) _____2) Move (x,y) to (-y,-x)-->(-5,-1)_____3) Turn like this (x,y) to (y,-x)-->(-1,5)
500
A pair of angles is congruent. What can we say about their supplements?
Their supplements are also congruent
500
Define corresponding angles
Angles in the same position relative to a transversal cutting two parallel lines
500
Share the similarities and differences among regular trapezoids, isosceles trapezoids, and parallelograms (only talk about angles)
Differences: Parallelograms have congruent pairs of opposite angles and isosceles trapezoids have congruent base angles (congruent upper base angles and congruent lower base angles) Similarities: All three have supplementary same-side angles
500
Define incenter
The intersection of angle bisectors drawn from a vertex of a triangle to the angle opposite