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Homework Solutions W.B. pg. 70 #1-11

Rhombus, 72, 54, 54, 72 Rectangle, 72, 36, 18, 144 Rectangle, 37, 53, 106, 74 Rhombus, 59, 90, 90, 59 Rectangle, 60, 30, 60, 30 Rhombus, 22, 68, 68, 90. Yes; rhombus Possible; opposite angles are congruent in a parallelogram

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Homework Solutions W.B. pg. 70 #1-11

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  1. Rhombus, 72, 54, 54, 72 Rectangle, 72, 36, 18, 144 Rectangle, 37, 53, 106, 74 Rhombus, 59, 90, 90, 59 Rectangle, 60, 30, 60, 30 Rhombus, 22, 68, 68, 90 Yes; rhombus Possible; opposite angles are congruent in a parallelogram Impossible; if the diagonals are perpendicular, then the parallelogram should be a rhombus, but the sides are not of equal length x = 7, HJ = 7, IK = 7 x = 7, HJ = 26, IK = 26 Homework SolutionsW.B. pg. 70 #1-11

  2. EOC Review #7Monday • 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) • Point C is a centroid. Solve for x.

  3. TRAPEZOIDS and KITESToolkit 6.5 & 6.7 Today’s Goal(s): To use properties of trapezoids and kites. To find the length of the midsegment of a trapezoid.

  4. TRAPEZOID • ONE pair of opposite sides are parallel.

  5. ISOSCELES TRAPEZOID • ONE pair of opposite sides are congruent. • The base angles of an isosceles trapezoid are congruent. • The diagonals of an isosceles trapezoid are congruent.

  6. 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.

  7. KITE • The consecutive (not opposite) sides are congruent. • The diagonals are perpendicular.

  8. STOP and Think!Do you see congruent triangles? Yes! ABC  ADC by SSS Is BCA  DCA? Explain why or why not. Yes, by CPCTC!!

  9. 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?

  10. Ex.2: Midsegments of TrapezoidsDo you see Corresponding Angles?Same Side Interior Angles? a.) b.)

  11. Ex.3: Find the missing angle measures in each kite. Look for the triangles. a.) b.)

  12. Ex.3 cont…What is the sum of the interior angles of a quadrilateral? c.)

  13. 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? a.) 2, 3, 5 b.) 6, 9, 14

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