Transformations
another name for scooting or sliding a shape over
translation
also - two reflections
parallel
True or False
A rectangle can be a rhombus and a square
False
define point symmetry
rotates 180 from center
Angles of an equilateral triangle measure
60 degrees
which transformation is not isometric
dilation
draw interior angles on the transversal
my picture :)
A quadrilateral is a parallelogram if its diagonals bisect each other.
True
draw:
alternate interior angles
pictures :)
ABCD is an isosceles trapezoid with bases AB and DC.
DA = CB Why?
legs of isosceles trapezoid are equal
What does it mean to have n-fold rotation. Give an example
n-fold = symmetrical at each turn
e.g.: 4-fold symmetry means it's symmetric at each 90-degree rotation
True or False
In plane, two lines perpendicular toa third line are parallel.
True
The diagonals of a ___________________ are perpendicular
Rhombus
Interior angles on the same side of the transversal are ________________
supplementary
ABCD is an isosceles trapezoid with bases AB and DC.
angle DAB = angle CBA. Why?
base angles of an isosceles trapezoid are equal
a composite of two reflections over intersecting lines
What is a rotation?
The exterior angle of a triangle is equal to the sum of _______________________
the remote interior angles
The ____________________ if an isosceles trapezoid are equal.
Base angles
- or -
diagonals
How are a rectangle, square and rhombus related
all are parallelograms
square is a type of rhombus and rectangle
AB = AB
Why?
Reflective
a composite of a translation and a reflection in a line parallel to the direction of translation
glide reflection
If two angles of one triangle are equal to two angles of another triangle, the third angles ______________
are equal.
State the Midsegment Theorem
a midsegment of a triangle is parallel to the third side and half as long
State the HL Theorem
If the hypotenuse and a leg of one right triangle are equal to the corresponding parts of another right triangle, the triangles are congruent.
once we prove triangle congruence, we typically point out specific sides or angles are equal.
Why?
CPCT=