Sec 6.1 - Angles of Convex Polygons
Sec 6.2/6.3 - Parallelograms
Sec 6.4 - Rectangles
Sec 6.5 - Rhombi/Squares
Sec 6.6 - Trapezoids & Kites
Random
100
What is a convex polygon? A regular polygon? Give example drawing with your definitions
1. A convex polygon has all interior angles less than 180.
2. A regular polygon has all equal interior angles, exterior angles and equal sides.
100
Draw a parallelogram with all special properties
100
What are the special properties of a rectangle that are additional to the p.gram properties?
1. Diagonals are congruent
2. 2 pairs of perpendicular sides.
100
What are the 2 special properties of a rhombus compared to a p.gram?
How do you prove a quadrilateral is a square?
1. Diagonals are perpendicular.
2. All sides are equal
To prove a square, prove a unique property of a rectangle and a rhombus apply to a single quadrilateral.
100
What are the special properties of a isosceles trapezoid?
Properties of a kite?
Trapezoid:
1. 1 pair of opposite parallel side
2. Angles between bases are supplementary
3. Angles on one base are congruent/
4. Diagonals are congruent
5. One pair of opposite equal sides that are not parallel.
Kite:
1. Diagonals are perpendicular
2. Short diagonal has congruent angles at its ends.
3. 2 pairs of adjacent congruent sides
100
Is the eucharist a symbol?
No. The eucharist is truly the body and blood of christ.
200
What are the 2 formulas:
1. Sum of the interior angles of a convex polygon
2. The measure of 1 interior of a regular polygon
3.The measure of 1 exterior angle of a regular polygon
1. (n-2)*180
2. ((n-2)*180)/n
3. 360/n
200
Whats the one property to prove a quadrilateral is a parallelogram that is not listed in its special properties?
Prove 1 pair of parallel sides is congruent and parallel.
200
Given WXYZ,
ZY=2x+3 and WX=x+4, find WX
WX=5
200
Given ABCD is a rhombus,
DB=2x-4 and PB=2x-9, find PD
PD=5
200
Find ,
PW, if XZ=18 and PY=3
PW=15
200
What number is gold on the periodic table?
79
300
Solve for x:
Sum of interior angles: (5-2)*180=540
2(90)+(2x+10)+(2x-20)+x=540
5x+170=540
5x=370
x=54
300
Solve for x and y
x=28
y=67/2 or 33.5
300
Given WXYZ,
mangleZYW=2x-7 and mangleWYX=2x+5, find mangleZYW
mangleZYW=39
300
Given ABCD is a rhombus,
mangleDPC=3x-15, find x.
300
Find YZ
YZ=sqrt89
300
How many cups of coffee would be lethal if each cup has ~100mg of caffeine?
40 cups!
400
Find the measure of 1 exterior and interior angle of a regular nonagon.
Nonagon is 9 sided.
One exterior: 360/9=40
One interior: 180-40=140
400
Find x and y so that the quadrilateral is a parallelogram
x=4
y=8
400
Find all the angles given
mangle2=40
mangle1=mangle4=mangle6=50
mangle7=mangle3=40
mangle8=100
mangle5=80
400
Prove if the following points make a rectangle, rhombus or a square:
J(-3,-2), K(2,-2), L(5,2), M(0,2)
its a rhombus.
400
Prove if the figure is a kite, trapezoid or isosceles trapezoid:
A(-2,5), B(-3,1), C(6,1), D(3,5)
Trapezoid
400
Whats the smallest country in the world?
Vatican City
500
Given 156 degrees is the measure of one interior angle of a regular polygon, find the number of sides.
Exterior has to be 24, (180-156)
360/24=15 sides
500
Do the following points make a parallelogram?
V(3,5), W(1,-2), X(-6,2), Y(-4,7)
No.
500
Prove if the following quadrilateral is a rectangle:
Q(-2,2), R(0,-2), S(6,1), T(4,5)
Yes, it is a rectangle.
500
Prove if the following points make a rectangle, rhombus or a square:
A(-1,1), B(4,1), C(4,6), D(-1,6)
Its a square.
500
Prove if the figure is a kite, trapezoid or isosceles trapezoid:
Q(2,5), R(-2,1), S(-1,-6), T(9,4)
Isosceles trapezoid
500
A riddle for you:
What is lighter than air, can be seen with the naked eye, and if put in a barrel makes it lighter?
A hole.