TOPIC 2 Building Blocks of Geometry. Good Luck To
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- Stewart Blankenship
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1 Good Luck To Period Date PART I DIRECTIONS: Use the Terms (page 2), Definitions (page 3), and Diagrams (page 4) to complete the table Term (capital letters) 1. Chord 2. Definition (roman numerals) Pictures (lowercase letters) 3. Ray Concave Polygons 6. A polyhedron with a polygonal base and triangular faces that meet at a common point A quadrilateral with exactly one pair of parallel sides. 9. Kite 10. A triangle with three congruent sides A triangle with three sides of different lengths. 13. An angle whose measure is greater than 90 degrees, but less than 180 degrees. 14. Acute Angle Page 1 of 6
2 An equiangular parallelogram. 17. An equilateral parallelogram. 18. Plane Two angles whose measures have the sum of 90 degrees 23. Congruent Angles 24. G I 2 1 I 25. Two points and all the points between them that are collinear with the two points. Terms A. Complementary Angle G. Parallelogram M. Right Angle B. Congruent Segments H. Point N. Scalene Triangle C. Equilateral Triangle I. Pyramid O. Line Segment D. Isosceles Triangle J. Rectangle P. Supplementary Angle E. Line K. Regular Polygon Q. Tangent Line F. Obtuse Angle L. Rhombus R. Trapezoid Page 2 of 6
3 Definitions i. An angle whose measure is less than 90 degrees ii. A line segment whose endpoints lie on a circle iii. A polygon with at least one diagonal outside the polygon iv. Two or more angles that have the same measure v. Two or more segments that have the same measure or length vi. A triangle with at least two congruent sides vii. A quadrilateral with exactly two distinct pairs of congruent consecutive sides viii. An undefined term thought of as a straight, continuous arrangement of infinitely many points extending forever in two directions. It has length but no thickness. ix. A quadrilateral in which both pairs of opposite sides are parallel x. A line that intersects the circle at exactly one point xi. An undefined term thought as a flat surface that extends infinitely along its edges. It has length but no thickness. xii. A portion of a line which starts at a point and goes infinitely in one direction xiii. A polygon that is both equilateral and equiangular xiv. An angle whose measure is 90 degrees xv. Two angles whose measures have the sum of 180 degrees xvi. An undefined term thought of as a location with no size or dimension. Pictures a. g. l. L M b. h. m. P Page 3 of 6
4 c. 141 i. J K n. d. j. o. 60 e. k. p. f PART II DIRECTIONS: Answer each question and show all work in the space provided. 26. If the measure of ABC is 83, what is the measure of ABD when the measure of DBC is 58? A D B 58 ABD C 27. H is the midpoint of EG. If EG has a measure of 24 inches. What is the measure of EH? EH E H G Page 4 of 6
5 . 28. The following is the net for which solid?. 29. Determine the lengths of x and y. Explain how you arrive at your solutions PART III Tell whether each statement is true (T) or false (F) 30. The line segment from point P to point Q is named as PQ. 31. The length of line segment PQ is named as PQ. 32. The vertex of angle ABC is point A. 33. An obtuse angle is an angle whose measure is greater than 90 but less than An isosceles triangle is a triangle with no two sides the same length. 35. A diagonal is a line segment connecting any two vertices of a polygon. 36. If line AB intersects line CD at point P, then APC and APD are a pair of vertical angles. (Point P is between points A and B, and also between points C and D.) 37. If the sum of the measures of two angles is 90, then the two angles are complementary. 38. If two lines do not intersect, then they are parallel. 39. A chord is a line that intersects a circle in exactly one point. 40. A trapezoid is a quadrilateral that has exactly one pair of equal length sides. 41. If the measure of D is 133, then the reflex measure of D is A polygon with eight sides is called a hexagon. Page 5 of 6
6 TOPIC I ANSWER KEY Problem Number Answer Standard 1. ii, k MA.912.G Q, x MA.912.G xii, i MA. 912.G K, xiii MA.912.G iii, h MA.912.G I, d MA.912.G G, ix MA.912.G R, m MA.912.G vii, e MA.912.G C, a MA.912.G D, vi MA.912.G N, n MA.912.G F, c MA.912.G i, j MA.912.G M, xiv MA.912.G J, o MA.912.G L, p MA.912.G xi, b MA.912.G H, xvi MA.912.G E, viii MA.912.G P, xv MA.912.G A, f MA.912.G iv, g MA.912.G B, v MA.912.G O, l MA.912.G o MA.912.G inches MA.912.G D MA.912.G X=10, y= 5 MA.912.G TRUE MA.912.G FALSE MA.912.G FALSE MA.912.G TRUE MA.912.G FALSE MA.912.G FALSE MA.912.G FALSE MA.912.G TRUE MA.912.G FALSE MA.912.G FALSE MA.912.G FALSE MA.912.G TRUE MA.912.G FALSE MA.912.G.2.1 Page 6 of 6
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