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Math Crossword
Down
:
1) is the equation of a straight line written as y = mx + b, where m is the line's slope
2) if A = B, then B = A, meaning sides of an equation or relation can be swapped
3) refers to "if-then" statements (like \(P\implies Q\)) fundamental to logic, proofs, and probability, defining rules where one condition (hypothesis \(P\)) leads to a consequence (conclusion \(Q\)), forming the basis for geometry theorems,
4) in logic, it's a deductive rule (If P implies Q, and P is true, then Q must be true); in spirituality, popularized by Deepak Chopra, it's about releasing attachment to specific outcomes to achieve goals, trusting the process, and embracing uncertainty, rather than trying to control everything
6) either of two angles whose sum is 180°.
8) side side side
9) is a way to write a linear equation, \(y-y_{1}=m(x-x_{1})\),
10) pairs of angles on opposite sides of a transversal line and between the two other lines it intersects,
12) a deductive reasoning principle that links conditional statements, allowing you to form a new conclusion from two existing ones by connecting their middle terms. It follows the pattern: If P, then Q. If Q, then R. Therefore, If P, then R.. It's us
13) the opposite or reverse action,
15) angle angle side
16) side angle side
18) two lines in three-dimensional (3D) space that are not parallel, do not intersect, and do not lie in the same plane (non-coplanar).
21) the final statement or judgment reached after a problem-solving process, analysis of data, or a logical argument
23) the point where the three perpendicular bisectors of its sides intersect,
24) the geometric center of a shape, the point where it can be perfectly balanced. medians
25) describes a perfectly flat, horizontal line where there is no change in the vertical direction (rise) for any change in the horizontal direction (run),
27) a specific instance that proves a general statement, rule, or theory is false by showing it doesn't always hold true, acting as a direct contradiction;
28) formed by swapping the hypothesis (P) and conclusion (Q) and negating both, resulting in "If not Q, then not P".
30) a general proposition not self-evident but proved by a chain of reasoning; a truth established by means of accepted truths.
32) a proposed, testable explanation for an observation or phenomenon,
33) a line that passes through two lines in the same plane at two distinct points.
34) is a number that describes the direction of the line on a plane.
42) angle side angle
Across
:
5) two interior angles of a triangle that are not adjacent to a given exterior angle
7) a line on a graph that moves upward from left to right, indicating that as one variable (x-axis) increases, the other variable (y-axis) also increases, representing growth or a direct relationship
11) any object (number, expression, or geometric figure) is always equal to or congruent to itself
14) the act of denying or the opposite of something
17) describes a perfectly vertical line (like \(x=c\)), where there's no horizontal change (run) but there is a vertical change (rise), causing division by zero in the slope formula (\(rise/run\)),
19) pairs of angles on the outside (exterior) of two lines and on the same side of the line cutting across (transversal) them
20) pairs of angles in the same relative position at each intersection where a transversal line crosses two other lines
22) the special point inside a triangle where all three angle bisectors meet, acting as the center for the largest circle that can fit inside, tangent to all sides, and is equidistant from the triangle's sides Angle Bisectors
26) is a logical statement that's true only when both parts (\(p\) and \(q\)) have the same truth value (both true or both false) and false otherwise
29) evidence or demonstration that something is true
31) formed by extending one side and measuring the angle between the extension and the adjacent side
32) Hypotenuse-Leg
35) the point where its three altitudes (lines from a vertex perpendicular to the opposite side) intersect,
36) a helpful, temporary line added to a geometry diagram to make complex problems solvable
37) inference formed without proof or sufficient evidence
38) a line on a graph that goes downhill from left to right, showing an inverse relationship where as one variable (x) increases, the other (y) decreases, resulting in a negative rise-over-run ratio
39) pairs of angles on opposite sides of a transversal (a line crossing two other lines) and outside the two intersected lines, forming "opposite corner" positions on the exterior
40)
41) pairs of opposite, non-adjacent angles formed when two lines intersect, creating an "X" shape, and they are always equal (congruent) in measure
43) two angles that share a common vertex and a common side but do not overlap.
44) lines in a plane that are always the same distance apart and never intersect
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