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Congruence

ABC ~ XYZ . For the given part of ABC , find the corresponding part of XYZ. 1. A 2. C 3. AB 4. CA. Congruence. PRE-ALGEBRA LESSON 9-5. (For help, go to Lesson 6-3.). Check Skills You’ll Need. 9-5. Solutions 1. X 2. Z 3. XY 4. ZX. Congruence. PRE-ALGEBRA LESSON 9-5.

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Congruence

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  1. ABC ~ XYZ. For the given part of ABC, find the corresponding part of XYZ. 1.A2.C 3.AB4. CA Congruence PRE-ALGEBRA LESSON 9-5 (For help, go to Lesson 6-3.) Check Skills You’ll Need 9-5

  2. Solutions 1.X2.Z 3. XY4.ZX Congruence PRE-ALGEBRA LESSON 9-5 9-5

  3. X , T W , TUV WUX V WX , TU WU , VU XU TV c. Find the length of WX. WX, TV, and TV = 300 m, WX = 300 m. Since Congruence PRE-ALGEBRA LESSON 9-5 In the figure, TUV WUX. a. Name the corresponding congruent angles. b. Name the corresponding congruent sides. Quick Check 9-5

  4. ACB ECD Angle AC EC Side CAB CED Angle by ASA. ACB ECD Congruence PRE-ALGEBRA LESSON 9-5 List the congruent corresponding parts of each pair of triangles. Write a congruence statement for the triangles. a. 9-5

  5. MK LJ Side MKJ LJK Angle JK JK Side MKJ LJK by SAS. Congruence PRE-ALGEBRA LESSON 9-5 (continued) b. Quick Check 9-5

  6. Given that JKLMNO, complete the following. 1.L2.JK3.JL 4. If two sides and the angle between those sides of one triangle are congruent to two sides and the angle between those sides of another triangle, why can you conclude that the two triangles are congruent? O MN MO Congruence PRE-ALGEBRA LESSON 9-5 SAS 9-5

  7. 35 n = 21 45 n27 Circles PRE-ALGEBRA LESSON 9-6 Solve the proportion: = 9-6

  8. 0.8 5.3 1.6 5.3 10 100 x 360 75 100 x 360 x 360 x 360 Circles PRE-ALGEBRA LESSON 9-6 (For help, go to Lesson 6-2.) Solve each proportion. Round to the nearest whole number where necessary. 1. = 2. = 3. = 4. = Check Skills You’ll Need 9-6

  9. Circles PRE-ALGEBRA LESSON 9-6 Solutions 1. 36 2. 270 3. 54 4. 109 9-6

  10. C = d Write the formula. C (3.14)(2)6 Replace with 3.14 and d with (2)6. = 37.68 Simplify. Circles PRE-ALGEBRA LESSON 9-6 Find the circumference of the circle. The circumference of the circle is about 37.68 in. Quick Check 9-6

  11. Use proportions to find the measures of the central angles. Jackie’s Weekly Budget Entertainment (e) 20% e 360 f 360 20 100 20 100 = = Food (f) 20% e = 72° f = 72° Transportation (t) 10% s 360 50 100 = = t 360 10 100 Savings (s) 50% t = 36° s = 180° Circles PRE-ALGEBRA LESSON 9-6 Make a circle graph for Jackie’s weekly budget. 9-6

  12. Use a compass to draw a circle. Draw the central angles with a protractor. Label each section. Add a title. Jackie’s Weekly Budget Entertainment Savings Food Transportation Circles PRE-ALGEBRA LESSON 9-6 (continued) Quick Check 9-6

  13. First add to find the total number of students. 120 + 82 + 137 + 101 = 440 Spring Dance Attendance Use proportions to find the measures of the central angles. Freshmen (f) 120 Sophomores (p) 82 120 440 f 360 82 440 p 360 = = Juniors (j) 137 f 98° p 67° Seniors (s) 101 137 440 j 360 101 440 s 360 = = j 112° s 83° Circles PRE-ALGEBRA LESSON 9-6 Draw a circle graph of the data. 9-6

  14. Draw the central angles with a protractor. Label each section. Add a title. Spring Dance Attendance Seniors Freshmen Sophomores Juniors Circles PRE-ALGEBRA LESSON 9-6 (continued) Use a compass to draw a circle. Quick Check 9-6

  15. After-School Number of Activities Students(for one class) Band 5 Basketball 8 Baby-sitting 10 Library 7 Circles PRE-ALGEBRA LESSON 9-6 Solve. 1. Find the circumference of a circle with a diameter of 2.5 in. 2. Ten out of 22 students surveyed prefer milk with their breakfast. Find the measure of the central angle to represent this data in a circle graph. 3. Draw a circle graph of the data. about 7.85 in. about 164° 9-6

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