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Chapter 3 Test Study Guide Part I 1-6 Identify the pairs of angles as corresponding, alternate interior, alternate exterior, consecutive interior, or vertical angles (Section 3.1). 7-12 Find the value of the variable(s) by applying any of the following postulate and theorems (Sections 3.2, 3.3). Corresponding Angles Postulate Corresponding Angles Converse Alternate Interior Angles Theorem Alternate Interior Angles Converse Alternate Exterior Angles Theorem Alternate Exterior Angles Converse Consecutive Interior Angles Theorem Consecutive Interior Angles Converse Vertical Angles Congruence Theorem 13-14 Tell whether the lines through the given points are parallel, perpendicular, or neither (Section 3.4). Review the slope formula. 15-16 Graph the given equation using the slope-intercept method and the x- and y-intercept method (Section 3.5). 17 Write an equation of the line that passes through a given point and is parallel to a given line (Section 3.5). 18 Write an equation of the line that passes through a given point and is perpendicular to a given line (Section 3.5). 19-27 Complete the proof by providing the missing statements or reasons to prove two lines parallel Review all the definitions, postulate, theorems, and properties from Chapter 2. Part II (SAT/ACT Chapter Test) 1-3 Identify the pairs of angles as corresponding, alternate interior, alternate exterior, consecutive interior, or vertical angles (Section 3.1). 4 Identify the angle relationship between two angles: equal, complementary, supplementary, acute, obtuse (Sections 3.2) 5-7 Find the value of the variables (Sections 3.2, 3.3). 8 Describe the lines passing through the given points: parallel, perpendicular, horizontal, vertical, neither (Section 3.4). 9 Find an equation of the line that passes through a given point and is parallel to a given line (Section 3.5). Know how to convert from standard form to slope-intercept form so that you can find the slope. 10 Write an equation of the line that passes through a given point and a given slope (Section 3.5). 11 Apply Theorem 3.10: If two sides of two adjacent acute angles are perpendicular, then the angles are complementary (Section 3.6). 12 Identify which lines are parallel based on the given diagram. Apply Theorem 3.12, Lines Perpendicular to a Transversal Theorem (Section 3.6). 13 Find the slope of the line in a given diagram (Section 3.5). 14 Word problem similar to Example 6 from Section 3.5.
