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Geometry Name:______________________________ Skill Guidance from Quiz for 5 September 2008 For Skills 1, 2, and 3, refer to the following sketch: <NOT SHOWN> Skill 1: Naming Basic Geometric Objects (1a) Name three collinear points (with correct labels) You must name three points (with letters only) that lie on the same line. Ex: Points X, Y, and Z. (1b) Name one line (with correct labels) Lines must extend infinitely in both directions. When they are labeled, you must put the line above the two letters. Ex: XY which can also be named YX (1c) Name one ray (with correct labels) Rays must extend infinitely in one direction. When they are labeled, you must put the line with one arrow pointing right above the two letters. The ray’s endpoint MUST come first. Ex: XY . This is different than YX Skill 2: Measuring Objects (2) Measure the length of segment YZ in centimeters. NOT SHOWN Use a ruler. If you start measuring from zero centimeters, you should be okay. If you start from one or two centimeters, remember to subtract that value from your measurement to make it correct. Skill 3: Identifying Midpoints (3) Identify a midpoint from the diagram above and identify two congruent segments A midpoint is on a segment and bisects the segment into two congruent segments. Here, you must name the midpoint and the two congruent segments (Ex: Point M is the midpoint of AB . Then the two congruent segments would be AM MB .) Skill 4: Calculating Midpoints (4) Find the midpoint of segment AB given the following coordinates: A(3,5) B (5,6) Average the two x-coordinates, then average the two y-coordinates to get the coordinates of the midpoint. Be careful when you add positive and negative numbers. M( 3 5 5 6 , ) M (1,5.5) 2 2 Use this sketch for the skills 5-7: NOT SHOWN Skill 5: Identifying Angles (5) Name the angle in the sketch in two different ways You may name an angle in up to three different ways: (1) Use three points, making sure the middle point is the vertex of the angle (Ex: ABC or CBA . If you used both orders, that would count as two different ways. (2) Use the letter of the vertex, if there is only one clear angle with that same vertex (Ex: B ) (3) Use the angle number if given (Ex: 2 ) Skill 6: Measuring Angles (6) Find the measure of the angle above using a protractor Remember that the bottom center of the protractor (which will usually have a set of crosshairs or something similar) lines up with the vertex of the angle. Line up 0 degrees with one of the two sides of the angle, and count up using the appropriate set of numbers to the other side of the angle. You may always extend sides of the angles if they are too short to get a clear measurement from your protractor. Skill 7: Classifying Angles (7) Is the angle above acute, right, or obtuse? Acute angles measure less than 90 degrees. Right angles measure 90 degrees exactly Obtuse angles measure between 90 and 180 degrees. Skill 8: Classifying Angle Pairs <DIAGRAM NOT INCLUDED> (8) Are these angles complementary, supplementary, or neither? Complementary angles have measures that add up to 90 degrees (or a right angle equivalent) Supplementary angles have measures that add up to 180 degrees (equivalent to a straight line) If angles share a common side and their noncommmon sides combine to form a straight line, those angles are called a linear pair and the angles are supplementary.