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Name: ________________________ Class: ___________________ Date: __________ ID: A 4.8 Isosceles and Equilateral Triangles Quiz Multiple Choice Identify the choice that best completes the statement or answers the question. ____ 1. Two Seyfert galaxies, BW Tauri and M77, represented by points A and B, are equidistant from Earth, represented by point C. What is m∠A? a. b. c. d. ____ m∠A = 65° m∠A = 115° m∠A = 50° m∠A = 60° 2. Find m∠Q.(I don’t want the value of x) a. b. c. d. m∠Q = 30 ° m∠Q = 60 ° m∠Q = 70 ° m∠Q = 75 ° 1 ID: A 4.8 Isosceles and Equilateral Triangles Quiz Answer Section MULTIPLE CHOICE 1. ANS: A BW Tauri and M77 are equidistant from Earth, so AC ≅ BC . By the Isosceles Triangle Theorem, ∠A ≅ ∠CBA. From the Angle Addition Postulate, m∠CBA = 65° and m∠A=65°. Feedback A B C D Correct! Angles A and CBA are congruent. Use the Angle Addition Postulate to find the measure of angle CBA. Angles A and CBA are congruent. Use the Angle Addition Postulate to find the measure of angle CBA. Angles A and CBA are congruent. Use the Angle Addition Postulate to find the measure of angle CBA. PTS: 1 DIF: Average REF: 1a96e08e-4683-11df-9c7d-001185f0d2ea OBJ: 4-8.1 Application LOC: MTH.C.11.03.02.03.02.002 | MTH.C.11.03.02.06.01.003 TOP: 4-8 Isosceles and Equilateral Triangles KEY: isosceles triangle DOK: DOK 1 2. ANS: D Isosceles Triangle Theorem m∠Q = m∠R = (2x + 15)° m∠P + m∠Q + m∠R = 180° Triangle Sum Theorem Substitute x for m∠P and substitute 2x + 15 for m∠Q and x + (2x + 15) + (2x + 15) = 180 m∠R. 5x = 150 Simplify and subtract 30 from both sides. x = 30 Divide both sides by 5. Thus m∠Q = (2x + 15)° = [2 (30) + 15]° = 75°. Feedback A B C D This is x. The measure of angle Q is 2x + 15. By the Isosceles Triangle Theorem, the measure of angle Q equals the measure of angle R. Use the Triangle Sum Theorem and solve for x. By the Isosceles Triangle Theorem, the measure of angle Q equals the measure of angle R. Use the Triangle Sum Theorem and solve for x. Correct! PTS: OBJ: TOP: DOK: 1 DIF: Average REF: 1a991bda-4683-11df-9c7d-001185f0d2ea 4-8.2 Finding the Measure of an Angle LOC: MTH.C.11.02.01.01.007 4-8 Isosceles and Equilateral Triangles KEY: isosceles triangle theorem DOK 2 1 Name: ________________________ Class: ___________________ Date: __________ ID: B 4.8 Isosceles and Equilateral Triangles Quiz Multiple Choice Identify the choice that best completes the statement or answers the question. ____ 1. Find m∠Q.(I don’t want the value of x) a. b. c. d. ____ m∠Q = 70 ° m∠Q = 60 ° m∠Q = 30 ° m∠Q = 75 ° 2. Two Seyfert galaxies, BW Tauri and M77, represented by points A and B, are equidistant from Earth, represented by point C. What is m∠A? a. b. c. d. m∠A = 50° m∠A = 115° m∠A = 65° m∠A = 60° 1 ID: B 4.8 Isosceles and Equilateral Triangles Quiz Answer Section MULTIPLE CHOICE 1. ANS: D m∠Q = m∠R = (2x + 15)° m∠P + m∠Q + m∠R = 180° x + (2x + 15) + (2x + 15) = 180 5x = 150 x = 30 Isosceles Triangle Theorem Triangle Sum Theorem Substitute x for m∠P and substitute 2x + 15 for m∠Q and m∠R. Simplify and subtract 30 from both sides. Divide both sides by 5. Thus m∠Q = (2x + 15) ° = [2 (30) + 15]° = 75°. Feedback A B C D By the Isosceles Triangle Theorem, the measure of angle Q equals the measure of angle R. Use the Triangle Sum Theorem and solve for x. By the Isosceles Triangle Theorem, the measure of angle Q equals the measure of angle R. Use the Triangle Sum Theorem and solve for x. This is x. The measure of angle Q is 2x + 15. Correct! PTS: 1 DIF: Average REF: 1a991bda-4683-11df-9c7d-001185f0d2ea OBJ: 4-8.2 Finding the Measure of an Angle LOC: MTH.C.11.02.01.01.007 TOP: 4-8 Isosceles and Equilateral Triangles KEY: isosceles triangle theorem DOK: DOK 2 2. ANS: C BW Tauri and M77 are equidistant from Earth, so AC ≅ BC . By the Isosceles Triangle Theorem, ∠A ≅ ∠CBA. From the Angle Addition Postulate, m∠CBA = 65° and m∠A=65°. Feedback A B C D Angles A and CBA are congruent. Use the Angle Addition Postulate to find the measure of angle CBA. Angles A and CBA are congruent. Use the Angle Addition Postulate to find the measure of angle CBA. Correct! Angles A and CBA are congruent. Use the Angle Addition Postulate to find the measure of angle CBA. PTS: OBJ: TOP: DOK: 1 DIF: Average REF: 1a96e08e-4683-11df-9c7d-001185f0d2ea 4-8.1 Application LOC: MTH.C.11.03.02.03.02.002 | MTH.C.11.03.02.06.01.003 4-8 Isosceles and Equilateral Triangles KEY: isosceles triangle DOK 1 1 Name: ________________________ Class: ___________________ Date: __________ ID: C 4.8 Isosceles and Equilateral Triangles Quiz Multiple Choice Identify the choice that best completes the statement or answers the question. ____ 1. Two Seyfert galaxies, BW Tauri and M77, represented by points A and B, are equidistant from Earth, represented by point C. What is m∠A? a. b. c. d. ____ m∠A = 115° m∠A = 50° m∠A = 65° m∠A = 60° 2. Find m∠Q.(I don’t want the value of x) a. b. c. d. m∠Q = 30 ° m∠Q = 70 ° m∠Q = 75 ° m∠Q = 60 ° 1 ID: C 4.8 Isosceles and Equilateral Triangles Quiz Answer Section MULTIPLE CHOICE 1. ANS: C BW Tauri and M77 are equidistant from Earth, so AC ≅ BC . By the Isosceles Triangle Theorem, ∠A ≅ ∠CBA. From the Angle Addition Postulate, m∠CBA = 65° and m∠A=65°. Feedback A B C D Angles A and CBA are congruent. Use the Angle Addition Postulate to find the measure of angle CBA. Angles A and CBA are congruent. Use the Angle Addition Postulate to find the measure of angle CBA. Correct! Angles A and CBA are congruent. Use the Angle Addition Postulate to find the measure of angle CBA. PTS: 1 DIF: Average REF: 1a96e08e-4683-11df-9c7d-001185f0d2ea OBJ: 4-8.1 Application LOC: MTH.C.11.03.02.03.02.002 | MTH.C.11.03.02.06.01.003 TOP: 4-8 Isosceles and Equilateral Triangles KEY: isosceles triangle DOK: DOK 1 2. ANS: C Isosceles Triangle Theorem m∠Q = m∠R = (2x + 15) ° m∠P + m∠Q + m∠R = 180° Triangle Sum Theorem Substitute x for m∠P and substitute 2x + 15 for m∠Q and x + (2x + 15) + (2x + 15) = 180 m∠R. 5x = 150 Simplify and subtract 30 from both sides. x = 30 Divide both sides by 5. Thus m∠Q = (2x + 15) ° = [2 (30) + 15]° = 75°. Feedback A B C D This is x. The measure of angle Q is 2x + 15. By the Isosceles Triangle Theorem, the measure of angle Q equals the measure of angle R. Use the Triangle Sum Theorem and solve for x. Correct! By the Isosceles Triangle Theorem, the measure of angle Q equals the measure of angle R. Use the Triangle Sum Theorem and solve for x. PTS: OBJ: TOP: DOK: 1 DIF: Average REF: 1a991bda-4683-11df-9c7d-001185f0d2ea 4-8.2 Finding the Measure of an Angle LOC: MTH.C.11.02.01.01.007 4-8 Isosceles and Equilateral Triangles KEY: isosceles triangle theorem DOK 2 1