1. Point A(2, -3) is translated by (x+4, y-2). What is the image?, (6, -5), (6, -1), 2. Point B(-1, 5) is translated by (x-3, y+2). What is the image?, (-4, 7), (2, 7), What is the image of C(4, -6) after reflection over the x-axis?, (-4, -6), (4, 6), What is the image of D(-3, 7) after reflection over the y-axis?, (3, 7), (-3, -7), What is the image of E(2, -5) after reflection over y = x?, (-5, 2), (5, -2), 6. What is the image of F(3, 1) after a 90° counterclockwise rotation?, (1, -3), (-1, 3), What is the image of G(-4, 2) after a 180° rotation?, (4, -2), (-4, -2), What is the image of H(5, -2) after a 270° counterclockwise rotation?, (-2, -5), (2, 5), . Point J(1, 2) is reflected over the x-axis, then translated by (x+3, y+1). What is the final image?, (4, -1), (4, 3), Which transformation maps (6, -2) to (-6, -2)?, Reflection over x-axis, Reflection over y-axis, Triangle ABC has sides 5, 7, 9. Triangle DEF has sides 5, 7, 9. Are the triangles congruent?, Yes, by SSS, No, In triangles ABC and DEF: AB = DE, ∠B = ∠E, BC = EF. Are the triangles congruent?, Yes, by SAS, No, In triangles GHI and JKL: ∠G = ∠J, GH = JK, ∠H = ∠K. Are the triangles congruent?, Yes, by ASA, No, ∠G = ∠J, GH = JK, ∠H = ∠K. Are the triangles congruent?, Yes, by AAS, No, In triangles STU and VWX: ST = VW, TU = WX, ∠T = ∠W (not included angle). Are the triangles congruent?, Yes, No, Two right triangles have congruent hypotenuse and one leg. Are they congruent?, No, Yes, by HL, Two sides and the included angle are congruent in two triangles. Which theorem applies?, SAS, B. ASA, Two angles and a non-included side are congruent. Which theorem applies?, SAS, AAS, Triangles ABC and DEF have: AB = DE and ∠A = ∠D. Is this enough to prove congruence?, Yes, No, Two right triangles have both legs equal. Are they congruent?, Yes (can justify with SSS), No.
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Unit 3
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