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4.1 Classify the triangle by its angle measure. obtuse triangle right triangle equlangular triangle acute triangle 4.1 Classify the triangle by its angle measure. obtuse triangle right triangle equlangular triangle acute triangle 86o 64o 4.1 Classify the triangle by its side length. isosceles triangle scalene triangle equilateral triangle right triangle 4.1 Classify the triangle by its side length. equilateral triangle right triangle scalene triangle isosceles triangle Find the measure of ∡A 4.2 m∡A = B o 25o C 127o x A 4.1 Find the measure of ∡A m∡A = B 25o o x A C 4.1 Find the measure of ∡A m∡A = A o x 51o B C 4.1 Given ∆ABC, find the value of x and the length of side AC x = AC = A 2x + 7 4x - 3 B 3x - 5 C 4.2 Given the following diagram of ∆CDB. Find the value of x x = A xo o B 52o C D Given the following diagram of ∆CDB. Find the value of x 4.2 x = C xo o 60o D B 112o A 4.2 Given the following diagram of ∆CDB. Find the value of x x = A xo o B 52o C D Given the following diagram of ∆CDB. Find the value of x.Then find the measureof the exterior angle. 4.2 (2x + 16)o A x = C m∡ACD = 58o D B (x + 12)o o 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 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 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 False True; ∆'s ≅ by SAS, and AT ≅ UC by CPCTC True; ∆'s ≅ by ASA, and AT ≅ UC by def. ≅ sides True; ∆'s ≅ by SAS, and AT ≅ UC by SSS Tell if the highlighted statementis true or false and why (if it's true). AT ≅ UC T A E P U C 4.6 True; ∆'s ≅ by SAS, and ∡T ≅ ∡C by CPCTC True; ∆'s ≅ by SSS, and AT ≅ UC by SAS False True; ∆'s ≅ by SAS, and ∡T ≅ ∡C by Third ∡ Thm. Tell if the highlighted statementis true or false and why (if it's true). ∡T ≅ ∡C T A E P U C Tell if (and why) the highlighted statement is true. ∆'s ≅ by SSS, Thus true by CPCTC ∆'s ≅ by SSS, Thus false ∡'s ≇ ∆'s ≅ by SAS , Thus true by CPCTC ∆'s are not ≅, thus false ∡'s ≇ ∡A ≅ ∡B A C B D 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 ≅ 4.8 A C Find the measure ∡A & ∡B m∡A= D 24o m∡B= 76o B E 4.8 Find the measure ∡A & ∡DBC m∡A= m∡DBC= A D 45o C B 4.8 Find the measure ∡A & the value of x m∡A= x = B C A (7x - 3)o 4.8 Find the measure ∡A, the value of x, and the length of AB m∡A= x = AB = (3x + 3) B C (5x - 17) A Find the measure ∡B, the value of x, and the length of CA 4.8 m∡B= CA = x = (½x + 6) B (2x) C (2x) A 4alg Solve for x. 5 2 x + 7 = 22 x = 4alg Solve for x. 3 4 x - 4 = 14 x = 4alg Solve for x. 5 4 x + 7 = x = 3 2 x + 3 4alg Solve for x. 3x2 = x2 + 50 x = 4alg Solve for x. -2x2 = -3x2 + 144 x = Find the missing angle measures for ∡1 & ∡2 m∡1 = m∡2 = 37o o o 1 77o 2 |