Chapter 6 Flashcards
What formula do you use to find the sum of the interior angle measurement?
n-2(180)
What is an equilateral polygon?
A polygon with congruent sides
What is an equiangular polygon?
A polygon with congruent angles
What is a regular polygon?
A polygon that is both equilateral and equidistant
What is the formula you use to find the corollary to the angle sum measurement?
n-2(180)/n
What is the formula you use to find the polygon exterior angle sum?
360/n
What is a quadrilateral?
A four sided polygon with the 360° interior angle measurement
What are the defining features of a parallelogram?
Opposite angles are congruent; consecutive angles are supplementary; diagonals bisect each other; opposite sides are congruent
What is a rectangle?
A parallelogram with four right angles
What are the defining features of a rectangle?
The diagonals are congruent to each other
What is a square?
A parallelogram with four right angles and four congruent sides
Are the defining features of a square?
The diagonals form four congruent triangles
What is a rhombus?
A parallelogram with four congruent sides
What are the defining features of a rhombus?
Diagonals are perpendicular to each other; diagonals bisect opposite angles
What are the three sentences that help to figure out whether a shape is a rhombus, square, or a rectangle?
All squares are rectangles. Not all rectangles are squares. All squares are rhombuses. Not all rhombuses are squares. A rhombus is a rectangle when it’s a square.
What is a trapezoid?
A quadrilateral with exactly one pair of parallel sides
The defining features of a trapezoid?
The median is the average of the bases; the two bases are parallel
What is an isosceles trapezoid?
Trapezoid with congruent legs
What are the defining features of an isosceles trapezoid?
The two bases are parallel; the pairs of base angles are congruent; the base angles that share a side are supplementary; diagonals are congruent
What is a kite?
A quadrilateral with two pairs of consecutive sides congruent and no opposite sides congruent
What are the defining features of a kite?
Diagonals are perpendicular; diagonals bisect one pair of opposite angles
What do you use the midpoint formula for?
Defined the middle, medium, bisector, etc.
What do you use the slope formula for?
Parallels and perpendiculars
What do you use the distance formula for?
To find the length
