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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Which triangles can be proven congruent using the AAS Congruence Postulate?
Transcribed Image Text: 6. Which triangles can be proven congruent using the AAS Congruence Postulate?
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Polygon with three sides, three angles, and three vertices. Based on the properties of each side, the types of triangles are scalene (triangle with three three different lengths and three different angles), isosceles (angle with two equal sides and two equal angles), and equilateral (three equal sides and three angles of 60°). The types of angles are acute (less than 90°); obtuse (greater than 90°); and right (90°).
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