6-1: Polygon Angle-Sum Theorem

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Presentation transcript:

6-1: Polygon Angle-Sum Theorem

What are the measures of a... … Heptagon? … 17-gon?

What is the measure of one interior angle of a regular... … Hexagon? … Nonagon?

What is the measure of angle Y?

What is the measure of one exterior angle in... … a Nonagon? … an Octagon?

6-2: Properties of Parallelograms

What is the measure of angle P in the parallelogram?

Statements Reasons 1) 2) 3) 4) 5) 1) 2) 3) 4) 5)

What are the values of x and y in the parallelogram? What are PR and SQ?

6-3: Proving That a Quadrilateral Is a Parallelogram

For what values of x and y must the figures be a parallelogram?

Are the quadrilaterals parallelograms?

6-4: Properties of Rhombuses, Rectangles, and Squares

Is parallelogram ABCD a rhombus, a rectangle, or a square Is parallelogram ABCD a rhombus, a rectangle, or a square? What about parallelogram EFGH?

What are the measures of the numbered angles in the rhombus?

In the rectangle RSBF, SF = 2x + 15 and RB = 5x – 12 In the rectangle RSBF, SF = 2x + 15 and RB = 5x – 12. What is the length of a diagonal?

6-5: Conditions for Rhombuses, Rectangles, and Squares

Can you conclude that the diagram is a rhombus, a rectangle, or a square? a Square?

For what value of x is ABCD a rhombus For what value of x is ABCD a rhombus? For what value of y is DEFG a rectangle?

6-6: Trapezoids and Kites

CDEF is an isosceles trapezoid and the measure of angle C is 65 CDEF is an isosceles trapezoid and the measure of angle C is 65. What are the measures of angles D, E, and F?

QR is the midsegment of trapezoid LMNP. What is x?

Quadrilateral DEFG is a kite Quadrilateral DEFG is a kite. What are the measures of angles 1, 2, and 3?

6-7: Polygons in the Coordinate Plane

Is ΔABC Scalene, Isosceles, or Equilateral?

Is Quadrilateral ABCD a Rhombus?

Quadrilateral KITE is a Kite Quadrilateral KITE is a Kite. What is the most precise classification of the quadrilateral formed by connecting the midpoints of the sides of the kite?

6-8: Applying Coordinate Geometry

What are the coordinates of the figure? SQRE is a square where SQ = 2a. The axes bisect each side. TRI is an isosceles triangle where TI = 2a. The y-axis is the median.

What are the coordinates of D, the intersection of the two diagonals of the parallelogram?

6-9: Proofs Using Coordinate Geometry