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Solve for x and Triangle Sketching: Quiz and Sample Problems Review

This document covers key mathematical concepts including solving for variables in geometric contexts and sketching triangles based on given dimensions and angles. Students will learn to determine values of x using conditions such as midpoints, side lengths, and angles within triangles. Additional exercises address the relationships between triangle sides and angles. The content is designed to help students prepare for upcoming tests, ensuring a solid understanding of geometry concepts through practice and problem-solving.

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Solve for x and Triangle Sketching: Quiz and Sample Problems Review

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  1. Clickers Bellwork Solve for x, if A, B & C are midpoints J B 4x-3 C x+11 A G • Sketch and label a triangle with the following dimensions • Sides: 4”, 7”, 1’ • Angles: 38o, 45o,97o

  2. Bellwork Solution Solve for x, if A, B & C are midpoints J B 4x-3 C x+11 A G

  3. Bellwork Solution • Sketch and label a triangle with the following dimensions • Sides: 4”, 7”, 1’ • Angles: 38o, 45o,97o

  4. Chapter 5 Test Review

  5. Test tomorrow

  6. Quiz

  7. Solve for x Quiz B B 1. 2. 2x+7 x D E D E 50 8x+6 A C A C 3. 4. Given the triangle below, find the possible values for x  Using diagram below, show that AB is half the measure of CD. x 2x-1 C:(d,2h) A 20 G:(-d,0) • Sketch and label a triangle with the following dimensions • Sides: 4”, 7”, 1’ • Angles: 38o, 45o,97o B D:(d,-2h)

  8. Solve for x Quiz Answers B 1. x D E 50 A C

  9. Solve for x Quiz Answers B 2. 2x+7 D E 8x+6 A C

  10. 3. Quiz Answers  Using diagram below, show that AB is half the measure of CD. C:(d,2h) A G:(-d,0) B D:(d,-2h) Must have to get full credit

  11. Quiz Answers 4. Given the triangle below, find the possible values for x x 2x-1 20 Must have to get full credit

  12. Quiz Answers • Sketch and label a triangle with the following dimensions • Sides: 4”, 7”, 1’ • Angles: 38o, 45o,97o 97o 4” 7” 45o 38o 1’

  13. Solve for x Quiz Answers B B 1. 2. 2x+7 x D E D E 50 8x+6 A C A C 3. 4. Given the triangle below, find the possible values for x  Using diagram below, show that AB is half the measure of CD. x 2x-1 C:(d,2h) A 20 G:(-d,0) • Sketch and label a triangle with the following dimensions • Sides: 4”, 7”, 1’ • Angles: 38o, 45o,97o B D:(d,-2h)

  14. Sample Problems

  15. Example Solve for x the measure of angle AGJ A 43 2x 4x-13 G J

  16. On your own This is the line drawn from the vertex of a triangle to the midpoint of the side opposite

  17. On your own The point of concurrency found by drawing the angle bisectors of a triangle

  18. On your own Line drawn from a segments midpoint at a 90o angle

  19. On your own Point of concurrency which is also the center of area of a triangle

  20. On your own Typically used to show the “height” of a triangle?

  21. On your own Point of concurrency found by extending the altitudes of a triangle

  22. On your own Lines drawn in a manner such that the angle is split evenly

  23. On your own Point of concurrency created by perpendicular bisectors

  24. Example Solve for x, if A & B are midpoints 32 B A 2x+24 G J

  25. Example Solve for x, if A, B & C are midpoints and CH is 23 J B C 4x+2 H A G

  26. On your own Is it possible to construct a triangle that has sides that measure 52, 25.5, & 26

  27. On your own Is it possible to construct a triangle that has sides that measure

  28. On your own What are the possible values for x? 53 13 x

  29. On your own What are the possible values for x? 6x-13 2x-2 3x-5

  30. On your own What is the appropriate statement? B 12 C 35o 35o A 12 D

  31. Homework Chapter 5 Review 1-8, 19-24

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