Winter Geometry Proofs

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Across
  1. 2. if two angles and a non-included side of one match the corresponding angle, angle, and non-included side of the other; it means the triangles are congruent
  2. 3. Angles Theorem in an isosceles triangle, the angles opposite the two congruent (equal) sides, called the base angles, are also congruent
  3. 11. if their hypotenuses and one corresponding leg are equal in length, the triangles are identical
  4. 12. if two sides of an equation are equal, you can divide both sides by the same non-zero number, and the equation will remain true
  5. 15. if you add the same value to both sides of an equation, the equation stays balanced and true
  6. 17. any value or expression is equal to itself
  7. 18. means if two things are equal (a=b), you can swap one for the other
  8. 19. if all three sides of one triangle are equal in length (congruent) to the corresponding three sides of another triangle, then the two triangles are congruent
Down
  1. 1. if one thing equals a second, and that second equals a third, then the first also equals the third
  2. 2. if two angles and the included side (the side between them) of one triangle are identical to the corresponding two angles and included side of another triangle, then the two triangles are congruent
  3. 4. if you subtract the same quantity from both sides of an equation, the equality remains true
  4. 5. either of two angles whose sum is 90°
  5. 6. either of two angles whose sum is 180°
  6. 7. multiplying both sides of the equation by the same non-zero number will result in two new expressions that are also equal
  7. 8. line, ray, or line segment that divides a given angle into two smaller, equal (congruent) angles, always passing through the angle's vertex
  8. 9. an angle that measures exactly 90 degrees
  9. 10. the point and is in the exact middle of a line
  10. 13. if two angles in one triangle are congruent (equal) to two angles in another triangle, then their third angles must also be congruent
  11. 14. if one thing equals another (a = b), then the second thing also equals the first (b = a)
  12. 16. knowing two sides and the included angle (the angle between them), making them congruent