Gotta Know Your Rules
Isosceles Triangles
What a Congruence
Sweet Symmetry
This is Halloween
100
Reflections, Rotations, and Translations are all examples of what?
Transformations or Rigid Motions
100
The two congruent angles of an isosceles triangle are known as what?
Base angles
100
What is the symbol for congruence
≅
100
What is a regular polygon?
A polygon whose sides are all equal length and whose angles all have equal degree measures.
100
What colors are associated with Halloween
Black and Orange
200
State the rules for a reflection over the x-axis and y-axis
x-axis (x,y) -> (x,-y)
y-axis (x,y) -> (-x,y)
200
What is the relationship between the vertex angle bisector and the base of an isosceles triangle
Perpendicular
200
What are the three properties of rigid motions
1. Lengths stay the same
2. Angle measures stay the same
3. Location changes
200
What is the purpose of a line of symmetry?
A dashed line that cuts a regular polygon into two equal parts
200
Jack-o-Lanterns are traditionally made from pumpkins, but they were originally made from this vegetable
Turnips
300
State all the rotation rules
180 degree (x,y) -> (-x,-y)
90 degree CW (x,y) -> (y,-x)
90 degree CCW (x,y) -> (-y,x)
300
If a point lies on the perpendicular bisector of a segment, then what must be true?
It will be equidistant from the segment’s two endpoints
300
Reflection over x-axis
300
What is the minimum angle of rotation for an 18-sided polygon
20 degrees
300
What is the highest grossing horror movie of all time?
IT (2017)
400
Rotate the following points 90 degrees counterclockwise and then reflect over x-axis
A (2,3) B (5,7) C(-1,4)
A' (-3,-2) B' (-7,-5) C' (-4,1)
400
One of the base angles in an isosceles triangle has a measure of 22 degrees. What is the measure of the vertex angle?
136 degrees
400
Rotate 90 degrees counterclockwise
400
How many lines of symmetry does a heptagon have?
7
400
What country did trick or treating originate from
Ireland
500
Rotate the following points 90 degrees clockwise and then translate left 6 units and up 4 units.
A (2,3) B (5,7) C(-1,4)
A' (-3,2) B' (1,-1) C' (-2,5)
500
In an isosceles triangle, the vertex angle is 72 degrees and one of the base angles is 4x + 6. Solve for x.
x = 12
500
Solution
Step 1: Identify the pre-image. The pre-image is the blue image that is labeled triangle ABC.
Reflect over y-axis
Translate 5 units down and 3 units left
500
What angle of rotation would map A onto C
240 degrees
500
Halloween is a perfect time for horror movies, can you name Mr. Ryan's favorite?
The Shining