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Geometry--Ch. 4 Review

61 o. 25 o. Obtuse Scalene. Geometry--Ch. 4 Review. 1) Classify the triangle according to its angles and its sides :. 94 o. The missing angle is 94 o , so the triangle is OBTUSE. Since the angles are all different, so are the sides. This makes the triangle SCALENE. 74 o. 32 o.

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Geometry--Ch. 4 Review

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  1. 61o 25o Obtuse Scalene Geometry--Ch. 4 Review 1) Classify the triangle according to its angles and its sides: 94o The missing angle is 94o, so the triangle is OBTUSE. Since the angles are all different, so are the sides.This makes the triangle SCALENE.

  2. 74o 32o Acute Isosceles Geometry--Ch. 4 Review 2) Classify the triangle according to its angles and its sides: 74o The missing angle is 74o.

  3. J R (7y+11)o (9x-2)o 36o 70o 36o L T K S Geometry--Ch. 4 Review 3) Given: DJKL ≅DRST. Find the value of x and y: 9x–2 =70 180 – 70 – 36= 74 9x=72 7y+11 =74 7y=63 x=8 y=9

  4. You can picture thetriangle to look like this 17x 21x 22x 51o 63o 66o Geometry--Ch. 4 Review 4) The angles of a triangle are in the extended ratio 17:21:22. Find the measure of each angle: 17x + 21x + 22x = 180 60x = 180 x = 3 The angle measures are… 17(3) 21(3) 22(3)

  5. 3x-4 2x+18 6x-3 x = 17 Geometry--Ch. 4 Review 5) Solve for x, then calculate the measure of the exterior angle: (2x+18) + (3x-4)=6x-3 5x+14 = 6x-3 14 = x-3

  6. NO Geometry--Ch. 4 Review 6) Determine if you can prove whether the following triangles are congruent (yes or no). If yes, state the theorem or postulate you used:

  7. Yes; HL Geometry--Ch. 4 Review 7) Determine if you can prove whether the following triangles are congruent (yes or no). If yes, state the theorem or postulate you used:

  8. Yes; SSS Geometry--Ch. 4 Review 8) Determine if you can prove whether the following triangles are congruent (yes or no). If yes, state the theorem or postulate you used:

  9. 38o These two angles are ≅ due tothe Isosceles Triangle Theorem. Since all triangles are 180o, thetwo missing angles are both 71o. x Since vertical angles are =, this angle is also 71o. x =54.5 Geometry--Ch. 4 Review 9) Find the value of x: x These two angles are also ≅ due tothe Isosceles Triangle Theorem. 2x = 109 x + x + 71= 180 2x + 71 = 180

  10. 22x+3 10x-6 10x-6 x=4.5 Geometry--Ch. 4 Review 10) Find the value of x: Due to the Isosceles TriangleTheorem, we know that thebase angles are ≅. The angle sum in any triangle is 180o, so we have… (10x–6) + (10x–6) + (22x+3) = 180 42x-9 = 180 42x = 189

  11. A B 11) Given: AB ll CD, AE ≅ CEProve: BE ≅ DE E D C Statements Reasons AB ll CD, AE ≅ CE BE ≅ DE Geometry--Ch. 4 Review Given Alternate Interior ∠s are ≅ ∠BAE ≅∠DCE Vertical ∠s are ≅ ∠AEB ≅∠CED ASA DABE ≅DCDE CPCTC

  12. I H E F G Statements Reasons Isos. D Thm Converse EI ≅ HI IF ≅ IG Isosceles D Theorem Geometry--Ch. 4 Review 12) Given: ∠EIF ≅ ∠HIG, ∠E ≅ ∠HProve: ∠IFG ≅ ∠IGF Given ∠EIF ≅ ∠HIG, ∠E ≅ ∠H ASA DIFE ≅ DIGH CPCTC ∠IFG ≅ ∠IGF

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