Square
What makes a polygon regular?
All sides are congruent, and all angles are congruent
is a rectangle a square?
somethimes
is a square a rhomus?
always
is a trapezoid a parallelogram?
No, a trapezoid can only have one set of opposite parallel sides
What property does a kite shares with a rhombus?
diagonals intersect perpendicular to each other
What is the definition of a square?
a parallelogram with congruent sides and congruent angles
What is the definition of a rectangle?
A parallelogram with 4 congruent sides
A parallelogram with 4 right angles
What is the definition of a rhombus
A parallelogram with all sides congruent
What is the definition of a trapezoid
A quadrilateral with only one set of opposite parallel sides
A quadrilateral with two pairs of consecutive congruent sides, where opposite sides are not congruent
List all the properties of a square
opposite sides parallel, all sides congruent, all angles congruent, diagonals bisect perpendicularly, diagonals bisect opposite angles, diagonals are congruent and consecutive interior angles are supplementary, opposite sides are congruent, opposite angles are congruent, opposite sides are parallel
List all properties of a rectangle
all angles congruent, diagonals are congruent, diagonals bisect each other, opposite sides congruent, opposite angles congruent, opposite sides parallel, consecutive angles are supplementary
List all the properties of a rhombus
diagonals intersect perpendicular, all sides congruent, diagonals bisect opposite angles, opposite sides congruent, opposite angles congruent, opposite sides are parallel, diagonals bisect each other, consecutive angles are supplementary
List all the properties of an isosceles trapezoid
Only one set of opposite parallel sides, legs are congruent, base angles are congruent, and diagonals are congruent.
List all the properties of a kite
diagonals are perpendicular, and only one set of opposite angles are congruent
Given the vertices A(2, 4), B(5, 3), C(4, 0), and D(1, 1). Is the quadrilateral formed a square? How do you know?
Yes
[Insert explanation]
Given the vertices A(-2, 1), B(2, 2), C(1, -2), and D(-3, -3), is the shape formed a rectangle? How do you know?
No
[Insert explanation]
i.e. angles are not perpendicular (with work showing such) therefore it is not a rectangle by definition
Given the vertices A(-1, 5), B(3, 0), C(1, -1), and D(-3, 4), is the shape formed a rhombus? How do you know?
No
[Insert explanation]
i.e. all sides are not congruent (with work showing such), therefore it is not a rhombus by definition
Given the vertices A(2, 6), B(-3, 0), C(3, -4), and D(5, 4), what is the most specific name for the quadrilateral? How do you know?
Isosceles Trapezoid
[Insert explanation]
Given the vertices A(-5, 7), B(2, 6), C(5, -3), and D(-4, 0), is the quadrilateral formed a kite? How do you know?
Yes
[Insert explanation]
Fill in missing information
2. Segment RO congr. segment MP
3. Segment OM congr. segment RP
4. (opposite angles congruent in a parallelogram)
Fill in the missing information
CPCTC
Given the rhombus, what are its angle measurements?
Angle ABC = 6, angle ADC = 6, angle BCD = 174, angle CAB = 174
Find the area of the trapezoid
36
Find the perimeter of the kite
4(13)1/2 + 8(5)1/2