Problem 1E: ABCD is a parallelogram. a Using a ruler, compare the lengths of sides AB- and DC-. b Using a... Problem 2E: ABCD is a parallelogram. a Using a ruler, compare the lengths of sides AD- and BC-. b Using a... Problem 3E: MNPQ is a parallelogram. Suppose that MQ=5, MN=8, and mM=1100. Find: a QP c mQ b NP d mP Problem 4E: MNPQ is a parallelogram. Suppose that MQ=12.7, MN=17.9, and mM=1220. Find: a QP c mQ b NP d mP Problem 5E: For Exercises 5 to 8, MNPQ is a parallelogram with diagonals QN- andMP-. a If QN=12.8, find QR. b If... Problem 6E: For Exercises 5 to 8, MNPQ is a parallelogram with diagonals QN- andMP-. a If QR=7.3, find RN. b If... Problem 7E: For Exercises 5 to 8, MNPQ is a parallelogram with diagonals QN- andMP-. If QR=2x+3 and RN=x+7, find... Problem 8E: For Exercises 5 to 8, MNPQ is a parallelogram with diagonals QN- andMP-. If MR=5a+7 and MP=12a+34,... Problem 9E: Given that AB=3x+2, BC=4x+1, and CD=5x-2, find the length of each side of . Problem 10E: Given that mA=2x+3, and mC=3x-27, find the measure of each angle of . Problem 11E: Given that mA=2x+3, and mB=3x-23, find the measure of each angle of . Problem 12E: Given that mA=2x5, and mB=x2, find the measure of each angle of. ABCD. Problem 13E: Given that mA=2x3, and mC=x2+20, find the measure of each angle of ABCD. Problem 14E: Given that mA=2x+y, mB=2x+3y-20, and mC=3x-y+16, find the measure of each angle of . Problem 15E: Assuming that mBmA in , which diagonal AC-orBD- would be longer? Problem 16E: Suppose that diagonals AC-andBD- of are drawn and that ACBD. Which angle A or B would have the... Problem 17E: In Exercises 17 and 18, consider with VX- RS- and VY- ST-. a Which line segment is the altitude of... Problem 18E: In Exercises 17 and 18, consider with VX- RS- and VY- ST-. a Which line segment is the altitude of... Problem 19E: In Exercises 19 to 22, classify each statement as true or false. In Exercises 19 to 20, recall that... Problem 20E Problem 21E Problem 22E Problem 23E: In quadrilateral RSTV, the midpoints of consecutive sides are joined in order. Try drawing other... Problem 24E: In quadrilateral ABCD, the midpoints of opposite sides are joined to form two intersecting segments.... Problem 25E: Quadrilateral ABCD has AB-DC- and AD-BC-. Using intuition, what type of quadrilateral is ABCD? Problem 26E: Quadrilateral RSTV has RS-TV- and RS-TV-. Using intuition, what type of quadrilateral is RSTV? Problem 27E: In Exercises 27-30, use the definition of a parallelogram to complete each proof. Given:RS-VT-,... Problem 28E: In Exercises 27-30, use the definition of a parallelogram to Complete each proof. Given: WX-ZY- and... Problem 29E: In Exercises 27 to 30, use the definition of a parallelogram to complete each proof. Given:... Problem 30E: In Exercises 27-30, use the definition of a parallelogram to complete each proof. Given:... Problem 31E Problem 32E: In Exercises 31 to 34, write a formal proof of each theorem or corollary. The opposite sides of a... Problem 33E Problem 34E Problem 35E: The bisectors of two consecutive angles of HJKL are shown. What can you conclude regarding P? Problem 36E: When the bisectors of two consecutive angles of a parallelogram meet at a point on the remaining... Problem 37E: Draw parallelogram RSTV with mR=700 and mS=1100. Which diagonal of RSTV has the greater length? Problem 38E: Draw parallelogram RSTV so that the diagonals have the lengths RT=5 and SV=4. Which two angles of... Problem 39E Problem 40E: In quadrilaterals ABCD and EFGH, AB-DC-, EF-HG-, AE, and BF, and AD-EH-. a Are quadrilaterals ABCD... Problem 41E: The following problem is based on the Parallelogram Law. In the scaled drawing, each unit... Problem 42E: In the drawing for Exercise 41, the bearing direction in which the airplane travels is described as... Problem 43E: Two streets meet to form an obtuse angle at point B. On that corner, the newly poured foundation for... Problem 44E Problem 45E Problem 46E: Prove: In a parallelogram, the sum of the squares of the lengths of its diagonals is equal to the... format_list_bulleted