Similar Triangles: Problems

Feb 3rd, 2012
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This study guide deals with solving similar triangles. It consists of ten typical problems that the student will meet in examinations. The solutions clearly explain how to find corresponding sides or angles, Both the ratio method and the scale factor method are used in this student-friendly guide.

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Similar TrianglesFor each of the pair of similar triangles below calculate the missing information.Answers are given at the end of the ten questionsAlgebra 2Triangles Writing AssignmentEach problem is worth 5 points.Total = 50 pointsAnswer each of the following problems. Show all your work.1. Triangle ABC is congruent to triangle DFE. Find y.2. Triangle ABC is congruent to triangle DFE. Find x.3. Triangle RSV is congruent to triangle TVS. Find x.4. Triangle ABC and DEF are congruent. Find x.5. Triangle ABC and DEF are congruent. Find x.6. Triangles WSR and TVR are similar. Find x.7. Triangles QVS and RTS are similar. Find side VS.8. Triangles QPT and QRS are similar. Find x.9. Triangles JKL and PML are similar. Find x.10. Triangles MOP and MNQ are similar. Find x.1. Angle BAC matches with 5y -10 ( the second biggest angle in each triangle)5y -10 = 455y = 45 + 10 = 55y =112. AB matches with DF (the smallest side of each triangle)2x -4 = 102x = 10 + 4 =14x =14/2 =73. RV matches with TS (the hypotenuse or largest side of the triangles RSV and SVT) x -1 = 5 x = 5 +1 =6x =2 *6 =124. Angle E = 65(AC and FD are the largest sides and angles B and D are opposite them and correspond)x+10 =65x =65 -10 =555. DE = AC (both longest sides)3x -4 = x+ 53x -x = 5 +42x =9x =9/2 =4.56. The ratio of the corresponding sides VT/WS= scale factor = 20/10 =2Each side of the large triangle is twice as big as the corresponding side of the sma

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