Transformations
TRIG
Quadrilaterals
Theorems, Axioms and Properties
Definitions/
Formulas
Formulas
100
A transformation that preserves distance and angle meaure (size and shape)
What is a rigid motion?
100
Solve for x.
30o
100
A quadrilateral with at least ONE pair of opposite sides parallel
What is a trapezoid?
100
a2 + b2 = c2
What is the Pythagorean Theorem?
100
The distance around the edge of a shape/object
What is perimeter?
200
A transformation that does not preserve distance
What is a dilation?
200
Solve for x. (round to the nearest whole number)
15
200
A quadrilateral that has ALL properties of a parallelogram AND congruent diagonals.
What is a rectangle?
200
angle 4 = angle ___ + angle ____
Name the theorem for an extra 100 points!
angle 4 = angle 1 + angle 2
*Exterior Angle Theorem*
200
What does angle ABC represent and how is it related to arc AC?
inscribed angle
angle ABC=1/2 arcAC
300
A transformation that turns an object about a given point
What is a rotation?
300
Given the triangle ABC. State the sine of angle C.
(name the sides by letters)
(CB)/(AC)
300
Name ALL the properties of a parallelogram (5 total)
1. Opp sides parallel
2. Opp sides congruent
3. Opp angles congruent
4. Adjacent angles supplementary
5. Diagonals bisect each other
300
Name the 5 methods to prove triangles congruent.
1. SSS
2. SAS
3. ASA
4. AAS
5. HL
300
Find
anglePOQ
anglePOQ=124^o
400
(x,y) -----> (y,x)
What is ry=x rule?
400
When solving for an angle measure in a right triangle, I must remember to use this!!!
What is inverse trig?
400
True/False: A rhombus is a square
FALSE
400
Name the 3 methods to prove triangles similar.
1. AA
2. SAS
3. SSS
400
Area of a triangle formula
Area of Triangle =
(b h)/2
500
The point (5,-2) becomes (-2,-5) after this transformation occurs
What is R270?
500
The expression sin 57o is equal to...
cos 33o
500
A rhombus is a quadrilateral with ALL the properties of a parallelogram PLUS 3 other properties.
Name them!
1. All sides congruent
2. Diagonals are perpendicular
3. Diagonals bisect the vertex angles
500
Given:
(BD)/(BA)=(BE)/(BC)
We can now prove Triangle BDE similar to Triangle BAC after what additional Statement and Reason?
Reflexive Property
angleB = angleB
500
Formula to partition a line segment
((bx1 + ax2)/(a+b),(by1 + ay2)/(a+b))