Algebra II Crossword Puzzle: Final Project

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Across
  1. 2. A useful tool that shows how the sum of the areas of three intersecting squares can determine the side lengths of a right triangle. The _______ states that a² + b² = c², where a and b are legs and c must be the hypotenuse (longest side of the triangle that is opposite of the right angle).
  2. 3. The constant multiplier is often called the ______ or growth factor. This can help you determine the type of sequence it is.
  3. 8. A ______ turns the preimage around a fixed point, called the center of _____. The center may be any point, including the origin or a point on the pre-image. An object and its image after this translation are the same shape and size, but the figures may be turned in different directions.
  4. 9. Plural form for a rectangular array of numbers written within brackets, represented with a capital letter, and classified by its dimensions. The dimensions are determined by the number of horizontal rows and the number of vertical columns.
  5. 10. A term used to describe the highest number that can be divided evenly into two or more numbers. The ________ can be found by listing the factors of each number, and then identifying the greatest one shared. However, for larger numbers it will not be realistic to make a list, so it is therefore most efficient to use the prime factorization technique in this case.
  6. 17. The method of breaking down a number into its prime numbers that form the original number when multiplied. Also known as integer factorization, the various methods to calculate it are through the use of a factor tree (below) and/or the division method.
  7. 18. The angles formed on the opposite sides of the transversal and inside the two lines the transversal crosses. If those lines are parallel, then we can say that _______ are congruent.
  8. 19. A number or ratio expressed as a fraction of 100, often denoted using the sign %. This is a dimensionless number that has no unit of measurement. In order to find the _____ of a number, divide the number by whole and multiply by 100.
  9. 20. Two lines on the same plane that never intersect each other regardless of how far apart they are extended from one another. Pictorially, they run along each other like the tracks of a train.
Down
  1. 1. The angles which occupy the same relative position at each intersection where a straight line crosses two others. If those lines are parallel, then we can say that __________ are congruent.
  2. 4. The angles formed on the same sides of the transversal and outside the two lines the transversal crosses. If those lines are parallel, then we can say that ____________ are supplementary.
  3. 5. Sequences in which the ratio between any two terms is constant. To identify a sequence such as this, check to see if one term goes to the next by always multiplying by the same value (common ratio).
  4. 6. A method of expression in terms of a decimal number between 1 and 10 multiplied by a power of 10. It is used to express really large (positive exponents) or really small numbers (negative exponents). A calculator will indicate this using the symbol “E” to represent 10 to the power of # (the power will be the number after “E”).
  5. 7. The lowest positive quality that is a multiple of two or more given quantities. A multiple is any number that can be divided by the given number(s) without leaving a remainder. The different methods to find the ________ include prime factorization, repeated division, and multiples.
  6. 11. A “flip” which maps every point of an image across a fixed line. The preimage and image are congruent, but they are mirror images of each other. Figures can be flipped over a point, line, or a plane.
  7. 12. A(n) _________ is a decimal in which there is no end to the digits (non terminating), and the digits do not repeat in a predictable pattern. This can be written as a decimal, but not as a fraction. Examples include 𝛑 as well as √2.
  8. 13. Numbers that can be written as a ratio or fraction of two integers, a numerator and a non-zero denominator. All fractions and integers are __________, and so are all terminating or repeating decimals. Examples include ½ and 2.59.
  9. 14. A type of transformation that moves all points of a figure by the same amount in a given direction. Sometimes these are known as “slides” or “shifts”.
  10. 15. A sequence in which the difference between any two terms is constant. These sequences are important in real life because they allow us to understand things with the use of patterns.
  11. 16. Pairs of opposite angles formed by two intersecting lines (congruent angles). These angles share a common point at the vertices (corners), and large or small, they are mirror images of each other reflected across the vertex.