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4.3 Given that ∆FUN ≅ ∆TEA, identify the congruent corresponding parts. ∡N ≅ ∡ AT ≅ use capital letters for answers 4.3 Given that polygon MATH ≅ LOVE identify the congruent corresponding parts. ∡V ≅ ∡ AT ≅ use capital letters for answers 4.3 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 = 4.3 Given that polygon PINK ≅ polygon BLUE, how many pair of congruent parts are there? 6: 3 pairs of angles & 3 pairs of sides 4: 4 pairs of angles only 3: 3 pairs of sides only 8: 4 pairs of sides & 4 pairs of angles Given that ∆TEA ≅ ∆CUP, find the value of x and y. 4.3 T 3x - 7 x = 52o E A U P y = 11.9 y C Given that ∆HOP ≅ ∆RUF, and themeasure of ∡H = 32o and the measure of ∡O = 77o. Find the measure of the following: m∡P = m∡R = m∡U = o o o 4.4 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 4.4 Tell if and why the triangles are congruent. Not congruent, not enough info BD ≅ BD,thus ∆'s are ≅ by HL ≅ Thm. AD ≅ DC, thus ∆'s are ≅, by SAS ∆≅ Thm. AB ≅ AC, thus ∆'s are ≅ by SSA≅ Thm. A B D C 4.4 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 4.4 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 4.5 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 4.5 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 4.5 Identify the postulate or theorem that proves the two triangles are congruent. A not congruent, not enough info ∆'s ≅ by AAA ∆≅ thm. ∆'s≅ by ASA ∆ ≅ thm. ∆'s ≅ by AAS ∆ ≅ thm. ▼ B E ▼ D C 4.5 Identify the postulate or theorem that proves the two triangles are congruent. not congruent, not enough info ∆'s ≅ by HL ∆≅ thm. AC ≅ AC, thus ∆'s≅ by ASA ∆ ≅ thm. ∆'s ≅ by SAS ∆ ≅ thm. A D B C 4.5 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 4.6 Match the theorem that proves the ∆'s are ≅ A. SSS B. SAS C. AAS D. ASA E. HL ∆'s ≅ Choose from: use capital letters ∆'s ≅ ∆'s ≅ |