Solutions to Check point 8.1 #4 #8 Sum of interior ’s = (n-2)  180 720 = (n-2)  180 Sum of interior ’s = (n-2)  180 Sum of interior ’s = (14 -2)  180 Sum of interior ’s = (12)  180 Sum of interior ’s = 2160 180 180 4 = n – 2 6 = n (Hexagon) P 510 #12 #14 Sum of interior ’s = 360° 65 + 106 + 78 + x = 360 249 + x = 360 x = 111 Sum = (n-2)  180 Sum = (6-2)  180 Sum = 720 121 + 96 + 101 + 162 +x + 90 =720 x =150

Homework Questions?

Check Point 8.2-8.3 P. 521 #4 #6 P. 526 #10 #20 WARM UP (If you finish early) Brainstorm and list all the differences and similarities between a square and a rectangle.

Geometry Section 8.4 - Properties of Rhombuses, Rectangles, and Squares  I can use the properties of quadrilaterals to give a specific name to a drawing.  I can use the properties of quadrilaterals to set up and solve equations to find variables.

iff 4  iff iff

Venn Diagram

EXAMPLE 1 Use properties of special quadrilaterals EXAMPLE I For any rhombus QRST, decide whether the statement is always or sometimes true. Draw a sketch and explain your reasoning. a. Q S b. SOLUTION

EXAMPLE 1 Use properties of special quadrilaterals For any rhombus QRST, decide whether the statement is always or sometimes true. Draw a sketch and explain your reasoning. Q R b. SOLUTION b. If rhombus QRST is a square, then all four angles are congruent right angles. So, If QRST is a square. Because not all rhombuses are also squares, the statement is sometimes true. Q R

EXAMPLE 2 Classify special quadrilaterals Classify the special quadrilateral. Then find the values of x and y. SOLUTION

iff iff iff iff iff iff

EXAMPLE 3 List properties of special parallelograms Sketch rectangle ABCD. List everything that you know about it. • The figure is a parallelogram. • The figure has 4 right angles. • The diagonals of ABCD are  Because ABCD is a parallelogram, it also has these properties: • Opposite sides are parallel and . • Opposite ’s are . Consecutive ’s are supplementary. • Diagonals bisect each other.