Logic
How would you write the Converse Statement?
if q, then p
What are the 4 transformations that are used on a graph?
Reflection, Rotation, Dilation, and Translation.
if the 1st side is 3 and the 2nd side is 8 and the 3rd side of the triangle is 11, is this a triangle?
No.
The 2 sides must be greater than the third side in order to classify as a triangle.
What are the properties of a parallelogram?
The 5 Properties of a parallelogram are..
1. Opposite sides are congruent
2. Opposite sides are parallel
3. Opposite angles are congruent
4. Consecutive angles are supplementary
5. Diagonals Bisect each other
What is the sum of the exterior angles in any polygon?
360 degrees
How would you write the Contrapositive statement?
if not q, then not p
Does the king card from the normal deck of cards have line symmetry or not? If so, where?
Yes, It does, You can cut it from the top and from the side and it will fold back onto itself.
In triangle ABC, side AB is 4, side CB is 6 and side AB is 8, list the angles from least to greatest
B, A, C
What are the properties of a kite?
1. The diagonals are perpendicular
2. One pair of opposite angles are congruent
What is the sum of the interior angles for a 21-gon?
The sum of the interior angles in a 3420 degrees
Formula: (n-2) x 180 = sum of interior angles
How would you write the Biconditional?
p if and only if q
If a image is rotated 270 degrees counterclockwise around the origin, How many move(s) is that and what is the formula or how did (x,y) change after the rotation?
1 rotation and (x,y) changes into (y, -x)
In triangle KLM, side KL is 16, side LM, is 23, and side KM is 13. List the angles from greatest to least
K, M, L
What are the properties of a Rhombus
1. Opposite sides congruent
2. Opposite sides parallel
3. Opposite angles congruent
4. Consecutive angles are supplementary
5. Diagonals bisect each other
6. 4 congruent sides
7. Diagonals are perpendicular.
Define Equilateral and Equiangular
Equilateral: means all sides are congruent
Equiangular: means all angles are congruent
What is the Law of Syllogism?
If a, then b and b, then c, therfore, a then c
Another Answer: a to b and b to c, then, a to c
If a image is rotated 180 degrees clockwise around the origin, how many move(s) is that and how did (x,y) change after the transformation?
2 rotations and (x,y) changes into (-x, -y)
In a right triangle, a2=13 and b2=17. solve for c2
You can give your answer as a decimal. Don't use a square root.
21.4
What are the properties of a Isosceles Trapezoid?
1. One pair of opposite sides are parallel
2. Two pairs of consecutive interior angles are supplementary
3. One pair of opposite sides are parallel
4. Two pairs of consecutive angles are congruent
5. Diagonals Bisect each other
List sides and interior angles for the polygons
Heptagon:
Nonagon:
Hexagon:
Hendecagon:
dodecagon:
22- gon:
Heptagon: 7 sides and 900 degrees
Nonagon: 9 sides and 1260 degrees
Hexagon: 6 sides and 720 degrees
Hendecagon: 11 sides and 1620 degrees
Dodecagon: 12 sides and 1800 degrees
22-gon: 22 sides and 3600 degrees
What is the Law of Detachment?
If a to b is true.
a is true.
b is true.
Where are the new points J, A, R after the reflection of y=x.
J= (1,4)
A=(3,2)
R=(2,1)
J= (-4, -1)
A= (-2, -3)
R= (-1, -2)
*Switch x, y values and then negate them.
In a right triangle, a2 = 20 and b2 = 21. Solve for c2
You can put your answer in decimal form if it becomes a decimal.
c2 = 29
What are the properties of the square?
The 9 properties of a square are...
1. Opposite sides are congruent
2. Opposite sides are parallel
3. Opposite angles are congruent
4. Consecutive angles are supplementary
5. Diagonals bisect each other
6. Four Right angles
7. 4 congruent sides
8. Diagonals are congruent
9. Diagonals are perpendicular
What is the measure of 1 exterior angle for a 15-gon?
1 exterior angle: 24 degrees