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Transcript
Crossword Puzzle for Triangle Similarity Across Down The terms of a proportion that lie at the ends of the proportion when written in double-dot form are called the _____. The longest side of a triangle is always opposite the biggest _____. To simplify a radical expression, we begin by performing a _____ factorization of the radicand. 4. The ____ angle of a triangle is always bigger than either remote interior angle. 1. 5. In a proportion of form a : x = x : b , x is the __(2 words)__ of a and b. 2. 9. The assertion that A = B or A < B or A > B is a statement of the ____. 3. 13. Similar triangles are extremely useful in helping us to find the measures of ____ distances. 6. The assertion that three ratios are equal is called a(n) __(two words)__. 15. The _____ theorem asserts that if two sides of one triangle are congruent to two sides of a second triangle and the included angle of the first triangle is bigger than the included angle of the second, then the third side of the first triangle is longer than the third side of the second. 7. The _____ of two similar triangles are proportional to the ratio of the corresponding sides, 17. A comparison of two or more whole numbers in fraction or double dot form is called a(n) ____. 8. We can know that two triangles are similar if ____ angles of one triangle are congruent to ____ angles of the second triangle. 19. We can know that two triangles are similar if ____ sides of one triangle are proportional to the corresponding ____ sides of the second triangle. 10. Two triangles are similar if two pair of corresponding sides are proportional and the corresponding included angles are ____. 20. The constant ratio of proportionality between the corresponding sides of similar polygons is called the __(two words___. 11. The _____ of two similar triangles are proportional to the ratio of the corresponding sides. 22. If a line parallel to one side of a triangle intersects the other two sides, then it cuts off ____ on those two sides. 12. The number under the radical ( number ) is called the ____. 23. If a two-dimensional figure changes to produce a similar figure that is larger or smaller than the original figure, then we say that the figure has undergone a(n) _____. 14. In the expression number , the small raised number (n) is called the ____ of the radical. 24. The altitudes of two similar triangles are _____ to the corresponding sides of the triangles. 16. An indirect proof progresses until we reach a(n) ____ of a given or a known fact. 25. Two polygons are said to be __(two words__ if and only if all of their corresponding angles are congruent and all of their sides are proportional. 18. The product of the extremes is equal to the product of the ____. 26. We begin an indirect proof by temporarily assuming the negation of the ____. 21. If a ray _____ an angle of a triangle then it divides the opposite side into segments proportional to the other two sides of the triangle. n Crossword Puzzle for Triangle Similarity Word List ANGLE BISECTS CONCLUSION CONGRUENT CONTRADICTION DILATION EXTENDED PROPORTION EXTERIOR EXTREMES GEOMETRIC MEAN HINGE INACCESSIBLE INDEX MEANS MEDIANS MEDIANS AND ALTITUDES PRIME PROPORTIONAL PROPORTIONAL SEGMENTS RADICAND RATIO SCALE FACTOR SIMILAR POLYGONS THREE TRICHOTOMY LAW TWO Similar Triangles by Reginald W. Noland, Jr 5 6 7 12 13 14 17 19 22 20