Proofs
What is usually the last statement in any triangle congruency proof ?
The triangle congruency statement
an isosceles triangle has 2 equal sides and two equal
__________.
angles
the 3 transformations are translations, reflections, and ___________.
rotations
What rotation is the same as a 90 degree rotation clockwise ?
A 270 degree rotation counterclockwise
What special angle pair is indicated by a "bowtie" picture formed by two triangles ?
Vertical Angles
This reason usually appears at the end of a proof to say parts of 2 congruent triangles are congruent
CPCTC
Each of the angle measures in an equilateral triangle is ________.
60 degrees
A translation rule reads (x + 4, y-3), which means I would slide a point in the plane this way ...________
right 4, left 3
What is the rule for a 180 degree rotation clockwise or counterclockwise ?
(-x,-y)
Name the special angle pair that is usually created by 2 parallel lines
Alternate Interior Angles
This reason is used in a proof to say 2 triangles are congruent if we have a 2 pairs of angles, then a pair of sides congruent (in that order)
AAS
the total degree measure for any triangle
180 degrees
We are told to reflect a point over the line x = -2 in the coordinate plane. What does this line look like when you graph it ?
Vertical line through -2 on x-axis
What is the rule for a 270 degree counterclockwise rotation ?
(y, -x)
The name of the angle pair that is both adjacent (next to each other) and supplementary (sum 180)
Linear Pair
A pair of right triangles are congruent in a proof if they have a pair of matching legs and a pair of matching hypotenuses. The reason for this would be _________________.
HL (hypotenuse leg postulate)
scalene
You are asked to rotate a point found in the 1st quadrant of the coordinate plane. This point must be rotated 180 degrees clockwise. The quadrant we will graph the final result (image) in is ) __________.
3rd quadrant
If a figure is rotated over the line y = 3, would this be a vertical or horizontal line of reflection ?
horizontal
Opposite angles in a parallelogram and rhombus are
__________.
Congruent
When we mark a common side in 2 triangles congruent with tick marks in a proof picture, the reason for marking this common side is _______
Reflexive Property
in the pythagorean theorem, a and b are the legs of the triangle and c stands for the ___________.
hypotenuse
A point starting in the 2nd quadrant is rotated 90 degrees counterclockwise, then relected over the y-axis. The point will end up (image) in this quadrant ________.
4th quadrant
What is the rule for a reflection over the line y=-x ?
(-y, -x)
Consecutive angles in a parallelogram and rhombus are _____________.
Supplementary (add to 180 degrees)