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SSS vs. SAS Proofs

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  • Solve for x.
    x = 11
  • Fill in the blank.
    ∠R
  • Find the distance of side FG: ∆FGH: F(-5, 10), G(-2, 2), H(-9, -7)
    √73
  • Fill in the blank.
    16 m
  • Find the distance of side JK: ∆JKL: J(0, -5), K(9, 2), L(-8, -2)
    √130
  • Are the triangles congruent by SSS, SAS, or not congruent? If congruent, write a congruency statement.
    SSS; ∆RPQ = ∆SPQ
  • Are the two triangles congruent? If yes, explain how you know.
    Because FG = LJ, GH = JK, and FH = LK, ∆FGH = ∆JKL by SSS.
  • Fill in the missing STATEMENTS.
    E is the midpoint of AB & CD; CE = DE
  • Fill in the missing REASONS.
    def of midpoint; reflexive property
  • Are the triangles congruent by SSS, SAS, or not congruent? If congruent, write a congruency statement.
    SAS; ∆JKL = ∆LMN
  • Find the distance of side KL: ∆JKL: J(0, -5), K(9, 2), L(-8, -2)
    √305
  • Fill in the missing STATEMENTS.
    PR = PT; RS = TS
  • Fill in the blank.
    34
  • Fill in the blank.
    ∆TRP
  • Fill in the blank.
    PR
  • Find the distance of side GH: ∆FGH: F(-5, 10), G(-2, 2), H(-9, -7)
    √130
  • Find the distance of side FH: ∆FGH: F(-5, 10), G(-2, 2), H(-9, -7)
    √305
  • Fill in the missing REASONS.
    def of midpoint; vertical angles
  • Fill in the blank.
    14 m
  • Find the distance of side JL: ∆JKL: J(0, -5), K(9, 2), L(-8, -2)
    √73
  • Are the triangles congruent by SSS, SAS, or not congruent? If congruent, write a congruency statement.
    NOT CONGRUENT
  • Solve for y.
    y = 6
  • Fill in the blank.
    105
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