Today we compared the properties/characteristics of the different special quadrilaterals that we learned this unit. Please complete your Chapter 8 Study Project by Monday and the Chapter 8 Test on Page 564 #1-18 ALL.
See this link to vary videos if you are having trouble with any topics: http://www.brightstorm.com/math/geometry/polygons
Chapter 8 Study Terms are:
Polygon Interior Angles Theorem
Polygon Exterior Angles Theorem
Parallelogram
Ways to Prove a Quadrilateral is a Parallelogram
Rhombus
Rectangle
Square
Trapezoid
Isosceles Trapezoid
Kite
To check the answers to your homework, please look at the following. You should see me in the morning or at lunch if you are still having trouble with the unit:
1) 118
2) 31
3) 71
4) Angles F and H are 110 degrees, Angles E and G are 70 degrees; consecutive angles are supplementary
5) No; the sides might not be parallel.
6) Yes, diagonals bisect one another
7) No; it could be a trapezoid
8) rhombus, square
9) rectangle, square
10) rectangle, square
11) parallelogram, rectangle, rhombus, square
12) PS is parallel to QR and SR is not parallel to PQ
13) a and b)many answers are possible
c) trapezoid, parallelogram, rectangle
14) Trapezoid; only one pair of opposite sides are known to be parallel
15) Rhombus; segment FH is perpendicular to segment EG. The diagonals of a rhombus are perpendicular but you don't know that the angle measure of the vertices is 90 degrees
16) Kite; JKLM has a pair of consecutive sides and the angle is bisected
17) 1.25 cm
18) 9 cm, 12 cm
Ms. Berger, I think you meant page 564, not 546.
ReplyDeleteI didn't know that the diagonals in a kite bisect each pair of opposite angles, is that true? If so, you didn't tell us that.
ReplyDeleteonly one diagonal in a kite bisects a pair of opposite angles (CPCTC of congruent triangles, proven by SAS), not both. I assume you're talking about number 16?
ReplyDelete