Ultimate Quadrilateral Outline Review formula for Sum of exterior - PowerPoint PPT Presentation

Ultimate Quadrilateral Outline Review

formula for Sum of exterior angles

360

formula for Sum of interior angles

(n-2)180

formula for 1 exterior angle, regular

360/n

formula for 1 interior angle, regular

(n-2)180 / n

Concave/Convex? Type of Polygon?

concave dodecagon

Concave/Convex? Type of Polygon?

convex pentagon

Two words that define “regular”

equilateral & equiangular

List the Equilateral Quadrilaterals

rhombus and square

List the equiangular quadrilaterals

rectangle and square

Can you have a regular concave polygon?

no, the angle made by the concave sides is > 180 and is not congruent to the other angles

Can you have a regular convex polygon?

yes

List the quadrilaterals that have perpendicular diagonals

rhombus, square, kite

List the quadrilaterals that have congruent diagonals.

rectangle, square, isosceles trapezoid

List the quadrilaterals that have diagonals that that bisect both pairs of opposite angles.

rhombus, square

List the quadrilateral that bisects only 1 pair of opposite angles.

kite

What is the midsegment theorem?

(base + base) / 2

List the parallelograms that have perpendicular diagonals.

rhombus square

What non-parallelogram has perpendicular diagonals?

kite

List the parallelograms that have congruent diagonals.

rectangles and squares

List all of the quadrilaterals that have 4 pairs of supplementary consecutive angles.

parallelogram, rectangle, rhombus, square

List the quadrilateral that has exactly 1 pair of congruent opposite angles.

kite

List the quadrilateral that has 2 pairs of congruent consecutive angles.

isosceles trapezoid

List the quadrilaterals that have 1 pair of parallel sides.

trapezoids and isosceles trapezoids

What has parallel sides and is NOT a parallelogram?

trapezoids and isosceles trapezoids

Its a parallelogram. Find the value for each variable.

21 & 8

Find the values of the missing angles.

K=136, M = 44, L = 136

B

D

What is A + T? A R F 60 40 T

260

If the measure of an exterior angle of a regular polygon is 45, what is the sum of the interior angles?

1080

Solve for x.

3

y = ? y

68