1.) (Definition) Show both pairs of 2.) (Thm 8.7) Show both pairs of 3.) (Thm 8.8) Show both pairs of opposite sides are opposite sides are opposite ______________ are __________________________. ________________________. congruent. 4.) (Thm 8.9)Show one pair of opposite sides are 5.) (Thm 8.10) Show the diagonals ________________ each ______________ and_________________. other . Ex 1: Which theorem can be used to show that the quadrilateral is a parallelogram? a) b) c) d) vertices of parallelogram are A(–l, 4), B(4, 4), and C(11, Find the coordinates of point Ex2: ABCD D. –3). What additional information is needed in order to prove that quadrilateral is a parallelogram? Ex 3: ABCD a) | | d) b) e) 180° mCDA + mDAB = c) DCB DAB f) DCA BAC The measure of an of a parallelogram is 18 degrees less than 5 times the measure of an adjacent angle. Ex 4: how to find the measures of all the interior angles of the parallelogram. Find the angles. Explain Ex 5: For what of is each quadrilateral a parallelogram? x a) b) ***
1.) (Definition) Show both pairs of opposite sides are __________________________. 2.) (Thm 8.7) Show both pairs of opposite sides are ________________________. 3.) (Thm 8.8) Show both pairs of opposite ______________ are congruent. 4.) (Thm 8.9)Show one pair of opposite sides are ______________ and_________________. 5.) (Thm 8.10) Show the diagonals ________________ each other . Ex 1: Which theorem can be used to show that the quadrilateral is a parallelogram? a) b) c) d) Ex2: vertices of parallelogram ABCD are A(–l, 4), B(4, 4), and C(11, –3). Find the coordinates of point D. Ex 3: What additional information is needed in order to prove that quadrilateral ABCD is a parallelogram? a) | | d) b) e) mCDA + mDAB = 180° c) DCB DAB f) DCA BAC Ex 4: The measure of an of a parallelogram is 18 degrees less than 5 times the measure of an adjacent angle. Explain how to find the measures of all the interior angles of the parallelogram. Find the angles. Ex 5: For what of x is each quadrilateral a parallelogram? a) b) ***
bi_honors_geo_7.docx