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 Chapter5: Similar Triangles
5.1 Ratios, Rates And Proportions 5.2 Similar Polygons 5.3 Proving Triangles Similar 5.4 The Pythagorean Theorem 5.5 Special Right Triangles 5.6 Segments Divided Proportionally 5.CR Review Exercises 5.CT Test Section5.CR: Review Exercises
Problem 1CR Problem 2CR Problem 3CR Problem 4CR Problem 5CR Problem 6CR Problem 7CR Problem 8CR: Find the values of x in each proportion: a x6=3x c 6x+4=2x+2 b x53=2x37 d x+35=x+57 e x2x5=2x+1x1 g... Problem 9CR: Use proportions to solve Review Exercises 9 to 11. Four containers of fruit juice cost 3.52. How... Problem 10CR Problem 11CR Problem 12CR: The ratio of the measures of sides of a quadrilateral is 2:3:5:7. If the perimeter is 68, find the... Problem 13CR Problem 14CR: The length of the sides of a triangle are 6, 8 and 9. The shortest side of a similar triangle has... Problem 15CR: The ratio of the measure of the supplement of an angle to that of the complement of the angle is... Problem 16CR Problem 17CR: Given: ABCD is a parallelogram. DB intersects AE at point F Prove: AFEF=ABDE Problem 18CR Problem 19CR Problem 20CR Problem 21CR Problem 22CR Problem 23CR Problem 24CR: For Review Exercises 24 to 26, GJ bisects FGH Given: FG=10,GH=8,FJ=7 Find JH. Problem 25CR: For Review Exercises 24 to 26, GJ bisects FGH Given: GF:GH=1:2,FJ=5 Find JH. Problem 26CR: For Review Exercises 24 to 26, GJ bisects FGH Given: FG=8,HG=12,FH=15 Find FJ. Problem 27CR: Given: EFGOHMJK,withtransversalsFJandEK;FG=2,GH=8,HJ=5,EM=6 Find EO, EK Problem 28CR: Prove that if a line bisects one side of a triangle and is parallel to a second side, then it... Problem 29CR: Prove that the diagonals of a trapezoid divide themselves proportionally. Problem 30CR: Given: ABCwithrightBACADBC a)BD=3,AD=5,DC=?b)AC=10,DC=4,BD=?c)BD=2,BC=6,BA=?d)BD=3,AC=32,DC=? Problem 31CR: Given: ABCwithrightBACADBC a)BD=12,AD=9,DC=?b)DC=5,BC=15,AD=?c)AD=2,DC=8,AB=?d)AB=26,DC=2,DC=? Problem 32CR Problem 33CR: Given: ABCDisarectangleEisthemidpointofBCAB=16,CF=9,AD=24 Find: AE,EF,AF,mAEF Problem 34CR: Find the length of a diagonal of a square whose side is 4 in. long. Problem 35CR Problem 36CR: Find the length of a side of a rhombus whose diagonals are 48cm and 14 cm long. Problem 37CR: Find the length of an altitude of an equilateral triangle if each side is 10 in. long. Problem 38CR Problem 39CR: The length of the three sides of a triangle are 13cm, 14 cm, and 15cm. Find the length of the... Problem 40CR Problem 41CR Problem 42CR Problem 39CR: The length of the three sides of a triangle are 13cm, 14 cm, and 15cm. Find the length of the...
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Solve the triangle ABC given C = 40°, b = 23 cm and a = 19 cm.
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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