7.1-7.3 Quiz Flashcards
Define Polygon
A plane figure that is closed and has no curves.
Define consecutive vertices
2 angles/vertices that are next to each other.
Define diagonal
A segment that connects non-consecutive vertices.
3 Sided shape
triangle
4 Sided shape
quadrilateral
5 Sided shape
pentagon
6 Sided shape
hexagon
7 Sided shape
heptagon
8 Sided shape
octagon
9 Sided shape
nonagon
10 Sided shape
decagon
12 Sided shape
dodecagon
Define equilateral polygon
side lengths are equal
Define equiangular polygon
angles are congruent
Define regular polygon
sides are equal and angles are congruent.
Polygon sum theory
the sum of all interior angles
(n-2)*180
The measure of one interior angle of a regular polygon
2
Exterior angle theorem
the sum of exterior angles in 360 degrees. Measure of one exterior angle: 360/n
Define parallelograms
a quadrilateral with 2 pairs of parallel sides.
Slope formula
M= y2-y1
——–
x2-x1
If a quadrilateral is a parallelogram then…
Opposite sides are congruent
Opposite angles are congruent
Consecutive angles are supplementary
Diagonals bisect each other (same midpoint)
Define parallelogram
Coordinate plane:
- parallel lines
- slopes are equal; 4 times
- slope formula
distance formula
d=√(x2 – x1)² + (y2 – y1)²
Midpoint formula
m= (x1+x2/2)+(y1+y2/2)
3 ways to define a parallelogram
- Slope formula 4 times (for each segment)
- Distance formula 4 times (for each segment)
- Midpoint formula 2 times for diagonal points.
