This exam was adminstered in June 2022. More Regents problems. June 2022 Geometry Regents Part I Each correct answer will receive 2 credits. No partial credit. 9. In the diagram below, lines k and ℓ intersect lines m and n at pointsA, B, C, and D. Which statement is sufficient to prove ABCD is a parallelogram?(1) ∠1 ≅ ∠3(2) ∠4 ≅ ∠7(3) ∠2 ≅ ∠5 and ∠5 ≅ ∠7(4) ∠1 ≅ ∠3 and ∠3 ≅ ∠4Answer: (3) ∠2 ≅ ∠5 and ∠5 ≅ ∠7 To prove that ABCD is a parallelogram, you need to show that AB || CD and AD || BC.Choices (1) and (2) are aonly enough to show that one pair of lines are parallel, but not both.In Choice (3), the first pair of angles shows that AB || CD and the second pair of angles shows AD || BC. This is the correct choice.In Choice (4), ∠3 ≅ ∠4 is true because they are vertical angles. It doesn't both anything about the other line. 10. Which transformation does not always preserve distance? (1) (x,y)→(x + 2, y)(2) (x,y)→(-y, -x)(3) (x,y)→(2x, y - 1) (4) (x,y)→(3 - x, 2 - y) Answer: (3) (x,y)→(2x...
