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Δ CAT = Δ DOG

Δ CAT = Δ DOG. O. 7. C. G. 95˚. 40˚. 2x + 1. 5. 9. 4 5˚. A. T. D. Find the measure of angle C. 45˚. Why are the triangles congruent?. ASA. The perimeter of Δ HAT is 110. HA = x + 5, AT = 2x – 25, and HT 40. Is Δ HAT scalene, isosceles, or equilateral?.

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Δ CAT = Δ DOG

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  1. ΔCAT = ΔDOG O 7 C G 95˚ 40˚ 2x + 1 5 9 45˚ A T D Find the measure of angle C 45˚

  2. Why are the triangles congruent? ASA

  3. The perimeter of ΔHAT is 110. HA = x + 5, AT = 2x – 25, and HT 40. Is ΔHAT scalene, isosceles, or equilateral? x + 5 + 2x – 25 + 40 = 110 3x + 20 = 110 3x = 90 x = 30 The sides are 40, 35 and 35, so isosceles.

  4. Find the measure of angle 1 and angle 2. Rays AC and AD trisect angle BAE. A 6˚ 1 2 B C D E Angle 1 = 93˚ Angle 2 = 81˚

  5. Always, Sometimes, or Never? An altitude of a triangle is perpendicular to the side to which it is drawn. Always

  6. ΔMLK = ΔCOW W M 3x + 3 O 30˚ 12 50˚ 15 100˚ L 18 K C Find the value of x. 3x + 3 = 18 3x = 15 x = 5

  7. Always, Sometimes, or Never? A right triangle is obtuse. Never

  8. Always, Sometimes, or Never? An obtuse triangle is isosceles Sometimes

  9. Always, Sometimes, or Never? An equilateral triangle is right. Never

  10. The perimeter of ΔAND is 69. AN = 23, ND = 3x + 2 and DA = 5x - 12 Is ΔAND scalene, isosceles, or equilateral? 23 + 3x + 2 + 5x – 12 = 69 8x +13 = 69 8x = 56 x = 7 The sides are 23, 23, and 23 so equilateral.

  11. Always, Sometimes, or Never? An altitude of a triangle bisects the side to which it is drawn. Sometimes

  12. ΔMLK = ΔCOW W M 3x + 3 O 30˚ 12 50˚ 15 100˚ L 18 K C Find the measure of angle L. 50˚

  13. Always, Sometimes, or Never? A median of a triangle is outside the triangle. Never

  14. Always, Sometimes, or Never? An altitude of a triangle is outside the triangle. Sometimes

  15. Always, Sometimes, or Never? The base angles of an isosceles triangle are larger than the vertex angle. Sometimes

  16. Find the measure of angle 1 and angle 2. Rays AC and AD trisect angle BAE. A 12˚ 1 2 B C D E Angle 1 = 96˚ Angle 2 = 72˚

  17. Why are the triangles congruent? Not congruent (angle, side, side)

  18. Always, Sometimes, or Never? 2 triangles are congruent if 3 pairs of corresponding sides are congruent. Always

  19. Why are the triangles congruent? Not congruent (angle, angle, angle)

  20. Always, Sometimes, or Never? An obtuse triangle is scalene. Sometimes

  21. Why are the triangles congruent? A D ΔABC & ΔDCB B C SAS

  22. Always, Sometimes, or Never? 2 right triangles are congruent if their hypotenuses and a pair of acute angles are congruent. Always

  23. Why are the triangles congruent? SAS

  24. Always, Sometimes, or Never? 2 triangles are congruent if 2 pairs of corresponding sides, and a pair of non-included angles are congruent. Sometimes

  25. Find the measure of angle 1 and angle 2. Rays AC and AD trisect angle BAE. A 20˚ 1 2 B C D E Angle 1 = 80˚ Angle 2 = 60˚

  26. Always, Sometimes, or Never? A right triangle is acute. Never

  27. The perimeter of ΔBUG is 36. BU = 12, BG = 2x + 2, and UG = 3x – 3. Is ΔBUG scalene, isosceles, or equilateral? 12 + 2x + 2 + 3x – 3 = 36 5x + 11 = 36 5x = 25 x = 5 The sides are 12, 12, and 12, so equilateral

  28. Always, Sometimes, or Never? An equilateral triangle is acute. Always

  29. ΔCAT = ΔDOG O 7 C G 95˚ 40˚ 2x + 1 5 9 45˚ A T D Find the value of x. 2x + 1 = 5 2x = 4 x = 2

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