P Preliminary Concepts 1 Line And Angle Relationships 2 Parallel Lines 3 Triangles 4 Quadrilaterals 5 Similar Triangles 6 Circles 7 Locus And Concurrence 8 Areas Of Polygons And Circles 9 Surfaces And Solids 10 Analytic Geometry 11 Introduction To Trigonometry A Appendix Chapter4: Quadrilaterals
4.1 Properties Of A Parallelogram 4.2 The Parallelogram And Kite 4.3 The Rectangle, Square, And Rhombus 4.4 The Trapezoid 4.CR Review Exercises 4.CT Test Section4.4: The Trapezoid
Problem 1E: Find the measures of the remaining angles of trapezoid ABCD not shown if ABDC and mA=58 and mC=125. Problem 2E: Find the measures of the remaining angles of trapezoid ABCD not shown if ABDC and mB=63 and mD=118. Problem 3E: What type of trapezoid a has congruent diagonals. b has congruent base angles. Problem 4E: What type quadrilateral is formed when the midpoints of the sides of an isosceles trapezoid are... Problem 5E: Given isosceles trapezoid ABCD, Find. a AC, if BD = 12.3 cm b x, AC=3(x+7) and BD=9(x6). Problem 6E: In trapezoid ABCD, MN is the median. Without writing a formal proof explain why MN=12(AB+DC). Problem 7E: If HandJ are supplementary, what type of quadrilateral is HJKL. Problem 8E: If HandJ are supplementary in HJKL, are a KandL necessarily supplementary also. b HandK necessarily... Problem 9E: For Exercises 9 and 10, consider isosceles trapezoid RSTV with RSVT , and midpoints M, N, P, and Q... Problem 10E: For Exercises 9 and 10, consider isosceles trapezoid RSTV with RSVT , and midpoints M, N, P, Q of... Problem 11E: In Exercises 11 to 16, the drawing shows trapezoid ABCD with ABDC ; also, M and N are midpoints of... Problem 12E: In Exercises 11 to 16, the drawing shows trapezoid ABCD with ABDC ; also, M and N are midpoints of... Problem 13E: In Exercises 11 to 16, the drawing shows trapezoid ABCD with ABDC ; also, M and N are midpoints of... Problem 14E: In Exercises 11 to 16, the drawing shows trapezoid ABCD with ABDC ; also, M and N are midpoints of... Problem 15E: In Exercises 11 to 16, the drawing shows trapezoid ABCD with ABDC ; also, M and N are midpoints of... Problem 16E: In Exercises 11 to 16, the drawing shows trapezoid ABCD with ABDC ; also, M and N are midpoints of... Problem 17E: Given: ABCD is an isosceles trapezoid. Prove: ABE is isosceles. Exercises 17, 18 Problem 18E: Given: Isosceles ABE with AEBE; also, D and C are midpoints of AE and BE, respectively. Prove: ABCD... Problem 19E: In isosceles trapezoid WXYZ with bases ZY and WX, ZY = 8, YX = 10 and WX = 20. Find height h the... Problem 20E: In trapezoid WXYZ with bases ZY and WX, ZY = 12, YX = 10, WZ = 17, and ZD = 8. Find the length of... Problem 21E: In isosceles trapezoid MNPQ with MNQP, diagonal MPMQ. If PQ = 13 and NP = 5, how long is diagonal... Problem 22E: In trapezoid RSTV, RVST,mSRV=90, and M and N are midpoints of the nonparallel sides. a What type of... Problem 23E: Each vertical section of a suspension bridge is in the shape of a trapezoid. For additional support,... Problem 24E: The state of Nevada approximates the shape of a trapezoid with these dimensions for boundaries: 340... Problem 25E: In the figure, abc and B is the midpoint of AC. If AB=2x+3, BC=x+7 and DE=3x+2, Find the length of... Problem 26E: In the figure, abc and B is the midpoint of AC. If AB=2x+3y, BC=x+y+7 and DE=2x+3y+3 and EF=5xy+2,... Problem 27E Problem 28E: HJKL and WXYZ are right trapezoids. Are these trapezoids congruent if a HLWZandLKZY? b... Problem 29E: In exercises 29 to 35, complete a formal proof. The diagonals of an isosceles trapezoid are... Problem 30E Problem 31E Problem 32E Problem 33E: In exercises 29 to 35, complete a formal proof. If three parallel lines intercept congruent segments... Problem 34E Problem 35E Problem 36E Problem 37E Problem 38E: Given: ABDC mA=mB=56CEDA and CF bisects DCB Find: mFCE Problem 39E Problem 40E Problem 41E: The vertical side wall of an in-ground pool that is 24 ft in length has the shape of a right... Problem 42E Problem 43E: With MNQP and MQQP, MNPQ is a right trapezoid. Find a mP, if mMNPmM=31. b the length of NR, if MN =... Problem 44E: With MNQP and MQ, MNPQ is a right trapezoid. Find a mP, if mMNPmP=54 b the length of the side NP, if... Problem 45E: In trapezoid ABCD not shown, mA=x2+10, mB=x3+50 and mC=x5+50. Find all possible values of x. Problem 46E Problem 47E: Draw and then trisect AB. Use the construction method found in example 7. Problem 48E Problem 3E: What type of trapezoid a has congruent diagonals. b has congruent base angles.
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