Homework Solutions W.B. pg. 70 #1-11 1. Rhombus, 72, 54, 54, 72 2. Rectangle, 72, 36, 18, 144 3. Rectangle, 37, 53, 106, 74 4. Rhombus, 59, 90, 90, 59 5. Rectangle, 60, 30, 60, 30 6. Rhombus, 22, 68, 68, 90 7. Yes; rhombus 8. Possible; opposite angles are congruent in a parallelogram 9. Impossible; if the diagonals are perpendicular, then the parallelogram should be a rhombus, but the sides are not of equal length 10. x = 7, HJ = 7, IK = 7 11. x = 7, HJ = 26, IK = 26
Transcript
Homework SolutionsW.B. pg. 70 #1-11
1. Rhombus, 72, 54, 54, 72
2. Rectangle, 72, 36, 18, 144
3. Rectangle, 37, 53, 106, 74
4. Rhombus, 59, 90, 90, 59
5. Rectangle, 60, 30, 60, 30
6. Rhombus, 22, 68, 68, 90
7. Yes; rhombus
8. Possible; opposite angles are congruent in a parallelogram
9. Impossible; if the diagonals are perpendicular, then the parallelogram should be a rhombus, but the sides are not of equal length
10. x = 7, HJ = 7, IK = 711. x = 7, HJ = 26, IK = 26
EOC Review #7Monday
1. Plot the following points on a graph and decide if AD is an altitude, median, angle bisector or perpendicular bisector.
A(6,7) B(8,2) C(2,2) D(6,2)
2. Point C is a centroid.
Solve for x.
TRAPEZOIDS and KITES
Toolkit 6.5 & 6.7
Today’s Goal(s):1. To use properties of trapezoids and
kites.2. To find the length of the midsegment
of a trapezoid.
TRAPEZOID ONE pair of opposite sides are
parallel.
ISOSCELES TRAPEZOID
1. ONE pair of opposite sides are congruent.
2. The base angles of an isosceles trapezoid are congruent.
3. The diagonals of an isosceles trapezoid are congruent.
MIDSEGMENT of a trapezoidThe midsegment of a trapezoid joins the two midpoints of the non-parallel sides.
A midsegment is parallel to the two bases.
To find the length of the midsegment, you have to find the average of the two bases.
KITE
1. The consecutive (not opposite) sides are congruent.
2. The diagonals are perpendicular.
STOP and Think!Do you see congruent triangles?
Yes!ABC ADC by SSS
Is BCA DCA?Explain why or why not.
Yes, by CPCTC!!
Ex.1: Find the missing angle measures in each isosceles trapezoid.
a.) b.)
<A and <B are what kind of angles?Can <B have the same measure as <D?
Ex.2: Midsegments of TrapezoidsDo you see Corresponding Angles?Same Side Interior Angles?
a.) b.)
Ex.3: Find the missing angle measures in each kite. Look for the triangles.
a.) b.)
Ex.3 cont…What is the sum of the interior angles of a quadrilateral?c.)
Review
1. O is the midpoint of MN. Are the triangles congruent? If yes, by which postulate? LMO _____
2. Can the following be the lengths of the legs of a triangle?
