Geometry Final

Of course! Here’s your combined set of 30 questions with clear answer indicators — perfect for Quizlet study cards:

1. If you translate triangle ABC 4 units up and 5 units to the right (A(0, 0), B(2, 0), C(0, 2)): What are the new coordinates?
   ✅ Answer: A'(5, 4), B'(7, 4), C'(5, 6)

2. If you reflect a square ABCD over the y-axis (A(5, 5), B(8, 5), C(8, 8), D(5, 8)): What are the new coordinates?
   ✅ Answer: A'(−5, 5), B'(−8, 5), C'(−8, 8), D'(−5, 8)

3. If you rotate triangle ABC 90º clockwise about origin (0, 0) (A(1, 2), B(3, 4), C(5, 6)): What are the new coordinates?
   ✅ Answer: A'(2, -1), B'(4, -3), C'(6, -5)

4. If you dilate circle O(0, 0) with radius 3 by scale factor 2, what’s its new radius?
   ✅ Answer: 6

5. If you reflect triangle ABC over the x-axis (A(1, 5), B(3, 7), C(5, 6)): What are their new coordinates?
   ✅ Answer: A'(1, -5), B'(3, -7), C'(5, -6)

6. If you translate square ABCD 2 left and 3 down (A(5, 5), B(8, 5), C(8, 8), D(5, 8)): What are their new coordinates?
   ✅ Answer: A'(3, 2), B'(6, 2), C'(6, 5), D'(3, 5)

7. If you rotate triangle ABC 180º about origin (0, 0) (A(1, 2), B(3, 4), C(5, 6)): What are their new coordinates?
   ✅ Answer: A'(−1, −2), B'(−3, −4), C'(−5, −6)

8. If you reflect quadrilateral ABCD over the line y = x (A(2, 5), B(4, 5), C(4, 7), D(2, 7)): What are their new coordinates?
   ✅ Answer: A'(5, 2), B'(5, 4), C'(7, 4), D'(7, 2)

9. Triangle ABC is dilated by scale factor 3 (AB = 4, BC = 5, CA = 6). What are their new side lengths after dilation?
   ✅ Answer: AB = 12, BC =15, CA =18

10. Are two triangles with matching angle measures but different side lengths congruent or similar?
    ✅ Answer: Similar

11. Triangle ABC is dilated by scale factor 1/3 (AB = 12, BC = 18, CA = 24). What are their new side lengths after dilation?
    ✅ Answer: AB = 4, BC =6, CA = 8

12. Are two triangles with matching side ratios and matching angle measures congruent or similar?
    ✅ Answer: Similar

13. If two triangles have two pairs of matching side lengths and a matching included angle, are the triangles congruent or not?
    ✅ Answer: Congruent (SAS)

14. If two triangles have their respective side lengths all matching, then the triangles are …
    ✅ Answer: Congruent (SSS)

15. If two triangles have two pairs of matching angle measures and their included side matching, then the triangles are …
    ✅ Answer: Congruent (ASA)

16. If two lines are cut by a transversal and the corresponding angle pairs are equal, then …
    ✅ Answer: The lines are parallel (Corresponding Angles Theorem)

17. If two lines are cut by a transversal and their interior, opposite-side angle pairs are equal, then …
    ✅ Answer: The lines are parallel (Alternative Interior Angles Theorem)

18. If two lines are cut by a transversal and the interior, same-side angle sum is 180°, then …
    ✅ Answer: The lines are parallel (Consecutive/Same-side Interior Angles Theorem)

19. If a quadrilateral’s two pairs of adjacent sides are equal in length, then it’s a …
    ✅ Answer: Kite

20. If a quadrilateral’s two pairs of opposite sides are equal in length, then it’s a …
    ✅ Answer: Parallelogram

21. If a quadrilateral’s all four sides are equal in length and its corner angles are 90°, then it’s a …
    ✅ Answer: Square

22. If the diagonal of a parallelogram bisects each other, then it’s a …
    ✅ Answer: Parallelogram

23. Rotate triangle ABC 180º about origin (0, 0). If A(1, 2), B(3, 4), C(5, 6), what are their new coordinates after rotation?
    ✅ Answer: A'(−1, −2), B'(−3, −4), C'(−5, −6)

24. Reflect quadrilateral ABCD over the line y = x. If A(2, 5), B(4, 5), C(4, 7), and D(2, 7), what are their new coordinates after reflection?
    ✅ Answer: A'(5, 2), B'(5, 4), C'(7, 4), D'(7, 2)

25. Are two triangles with matching side ratios and matching angle measures congruent or similar?
    ✅ Answer: Similar

26. If two lines are cut by a transversal and their consecutive interior angle sum is 180°, then …
    ✅ Answer: The lines are parallel (Consecutive/Same-side Interior Angles Theorem)

27. If a quadrilateral’s two pairs of adjacent sides are equal in length, then it’s a …
    ✅ Answer: Kite

28. If a quadrilateral’s two pairs of opposite sides are equal in length, then it’s a …
    ✅ Answer: Parallelogram

29. If a quadrilateral’s all four sides are equal in length and its corner angles are 90°, then it’s a …
    ✅ Answer: Square

30. If the diagonal of a parallelogram bisects each other, then it’s a …
    ✅ Answer: Parallelogram