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Test your geometry knowledge with angles, triangles, and classifications. Includes multiple-choice questions and explanations. Learn about different types of triangles and angle measures in a fun and engaging way.

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  1. Splash Screen

  2. What is the special name given to the pair of angles shown by 2 and 6? A. consecutive interior angles B. corresponding angles C. complementary angles D. supplementary 5-Minute Check 1

  3. Find m3. A. 118 B. 108 C. 62 D. 52 5-Minute Check 2

  4. Find m4. A. 118 B. 108 C. 72 D. 62 5-Minute Check 3

  5. A. B. C. D. Find the slope of the line that contains the points at (4, 4) and (2, –5). 5-Minute Check 4

  6. A. B. C. D. 5-Minute Check 5

  7. Content Standards G.CO.12 Make formal geometric constructions with a variety of tools and methods (compass and straightedge, string, reflective devices, paper folding, dynamic geometric software, etc.). Mathematical Practices 2 Reason abstractly and quantitatively. 6 Attend to precision. CCSS

  8. You measured and classified angles. • Identify and classify triangles by angle measures. • Identify and classify triangles by side measures. Then/Now

  9. acute triangle • equiangular triangle • obtuse triangle • right triangle • equilateral triangle • isosceles triangle • scalene triangle Vocabulary

  10. Concept

  11. Classify Triangles by Angles A. Classify the triangle as acute, equiangular, obtuse, or right. Example 1A

  12. Classify Triangles by Angles B. Classify the triangle as acute, equiangular, obtuse, or right. Example 1B

  13. A. ARCHITECTUREThe frame of this window design is made up of many triangles. Classify ΔACD. A. acute B. equiangular C. obtuse D. right Example 1A

  14. B. ARCHITECTUREThe frame of this window design is made up of many triangles. Classify ΔADE. A. acute B. equiangular C. obtuse D. right Example 1B

  15. Classify Triangles by Angles Within Figures Classify ΔXYZ as acute, equiangular, obtuse, or right. Explain your reasoning. Example 2

  16. Classify ΔACD as acute, equiangular, obtuse, or right. A. acute B. equiangular C. obtuse D. right Example 2

  17. Classify Triangles by Sides ARCHITECTUREThe triangle truss shown is modeled for steel construction. Classify ΔJMN, ΔJKO, and ΔOLNas equilateral, isosceles, or scalene. Example 3

  18. ARCHITECTUREThe frame of this window design is made up of many triangles. Classify ΔABC. A. isosceles B. equilateral C. scalene D. right Example 3

  19. If point Y is the midpoint of VX, and WY = 3.0 units, classify ΔVWY as equilateral, isosceles, or scalene. Explain your reasoning. Classify Triangles by Sides Within Figures Example 4

  20. If point C is the midpoint of BD, classify ΔABC as equilateral, isosceles, or scalene. A. equilateral B. isosceles C. scalene Example 4

  21. ALGEBRA Find the measures of the sides of isosceles triangle KLM with base KL. __ Finding Missing Values Example 5

  22. ALGEBRAFind x and the measure of each side of equilateral triangle ABC if AB = 6x – 8, BC = 7 + x, and AC = 13 – x. A.x = 10; all sides are 3. B.x = 6; all sides are 13. C.x = 3; all sides are 10. D.x = 3; all sides are 16. Example 5

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