SSS, SAS, ASA, AAS

Given that ∆FUN ≅ ∆TEA, identify the congruent corresponding parts. ∡N ≅ ∡ AT ≅ use capital letters for answers Given that polygon MATH ≅ LOVE identify the congruent corresponding parts. ∡V ≅ ∡ AT ≅ use capital letters for answers Given that ∆THE ≅ ∆SUP, and that UP = 2x + 12, and HE = 4x - 50. Find the value of x Find the length of UP UP = x = Given that ∆HOP ≅ ∆RUF, and themeasure of ∡H = 32 ^{o} and the measure of ∡O = 77^{o. }^{}Find the measure of the following: m∡R = m∡U = m∡P = o o o Complete each congruence statement. Then state the congruency postulate used. A D C F B E by the AC ≅ ∡C ≅ ∡ CB ≅ ∆ABC ≅ ∆ Congruence Postulate Tell if and why the triangles are congruent. Not congruent, not enough info ∡A ≅ ∡C, thus ∆'s are ≅ by SAS ∆≅ Thm. BD ≅ BD, thus ∆'s are ≅, by SSS ∆≅ Thm. ∆'s are ≅ by the definition of ≅∆'s A B D C Tell if and why the triangles are congruent. Not congruent, not enough info AB ≅ AC, thus ∆'s are ≅ by SSS ∆≅ Thm. BD ≅ BD, thus ∆'s are ≅, by SAS ∆≅ Thm. ∆'s are ≅ by the definition of ≅∆'s A B D C Tell what value x must be in order for the two triangles to be congruent by SSS ∆≅ Thm. 6x - 4 B x = A C 4x + 7 D Tell if and how the two triangles are congruent. C A Not congruent, not enough info AC ≅ED, thus ∆'s are ≅ by SSS ∆≅ ∡ABC ≅EBD, thus ∆'s are ≅ by SAS ∆≅ B D E Identify the postulate or theorem that proves the two triangles are congruent. not congruent, not enough info ∡B≅∡D, thus ∆'s ≅ by AAA ∆≅ thm. AC ≅ AC, thus ∆'s≅ by ASA ∆ ≅ thm. AB ≅CD, thus ∆'s ≅ by AAS ∆ ≅ thm. A B D C What additional information do you need to know in order to prove ∆ABC ≅ ∆EBD by ASA? ∡BDE ≅ ∡BCA ∡A ≅ ∡C AC ≅ ED ∡B ≅ ∡B A D B E C Identify the postulate or theorem that proves the two triangles are congruent. Use alternate interior angles, not vertical angles. A ∆'s ≅ by AAA ∆≅ thm. ∆'s≅ by ASA ∆ ≅ thm. ∆'s ≅ by AAS ∆ ≅ thm. not congruent, not enough info ▼ B E ▼ D C Identify the postulate or theorem that proves the two triangles are congruent. A not congruent, not enough info ∆'s ≅ by AAA ∆≅ thm. ∆'s≅ by SAS ∆ ≅ thm. ∆'s ≅ by ASA ∆ ≅ thm. B ▼ E ▼ D C Match the theorem that proves the ∆'s are ≅ A. SSS B. SAS C. AAS D. ASA ∆'s ≅ Choose from: use capital letters, put A, B, C, D ∆'s ≅ ∆'s ≅ |

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