2. Intersection Lines Name a pair of intersecting lines from the diagram?
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1 Name: Date: Block: Chapter 3 Summar and Review problems Summar: Section 3.1: Identif Pairs of Lines and Angles: 1. Parallel Lines How do we label a pair of parallel lines? Name a pair of parallel lines from the diagram. 2. Intersection Lines Name a pair of intersecting lines from the diagram? 3. Perpendicular Lines Two lines are perpendicular if How do we label a pair of perpendicular lines? Name a pair of perpendicular lines from the diagram? 4. Skew Lines Two lines are skew if Name a pair of skew lines from the diagram. 5. Parallel Plane Parallel planes are two planes that Name 2 parallel planes from the diagram. 6. Transversal Transversal is line that Name the transversal in the diagram: 7. Corresponding Angles Two angles are if the Name a pair of corresponding angles from the diagram: 8. Alternate Interior Angles Two angles are if the Name 2 alternate interior angles on the diagram: 9. Alternate Exterior Angles Two angles are if the Name 2 alternate exterior angles on the diagram: 10. Consecutive Interior Angles Two angles are if the Name 2 consecutive interior angles on the diagram: 11. Consecutive Exterior Angles (optional) Two angles are if the Name 2 consecutive exterior angles on the diagram: Section 3.2: Use Parallel Lines and Transversals Corresponding Angles Postulate Alternate Exterior Angles Theorem Alternate Interior Angles Theorem Consecutive Interior Angles Theorem
2 Name: Date: Block: Chapter 3 Summar and Review problems Converse Theorems/Postulates Corresponding Angles Converse then the are. Alternate Interior Angles Converse then the are. Alternate Exterior Angles Converse then the are. Consecutive Interior Angles Converse then the are. Transitive Propert of Parallel Lines If are to the, then the are to Section 3.4: Find and Use Slopes of Lines 1. Explain the slope of a non-vertical line. 2. List the four tpes of slopes of lines in the Coordinate Plane: 3. Slopes of Parallel Lines are What is the smbol used that means parallel? Find the slope for lines k 1 and k 2 then determine if the are parallel. 4. Slopes of Perpendicular Lines are What is the smbol used that means perpendicular? Find the slope of line h then draw a perpendicular line to line h Through point P. Section 3.5: Write and Graph Equations of Lines 1. What is the slope-intercept form of the linear equation? 2. What is the standard form of the linear equation? 3. What is the point-slope form of the linear equation?
3 Section 3.6: Prove Theorems About Perpendicular Lines SKETCHES 1. If two lines intersect to form a linear pair of congruent angles, then 2. If two lines are perpendicular, then the intersect to form 3. If two sides of adjacent acute angles are perpendicular, then the angles are 4. If a transversal is perpendicular to one of two parallel lines, then it is 5. In a plane, if two lines are perpendicular to the same line, then the are 6. Based on the figure to the right, name the following: a. A pair of parallel lines b. A pair of skew lines c. A pair of perpendicular lines d. Two parallel planes e. Two perpendicular planes 6. Classif each pair of angles (use the letter). Some letters ma be used more than once. a) 5 and 8 A. Corresponding b) 3 and 7 B. Alternate Interior c) 2 and 5 C. Alternate Exterior d) 4 and 6 D. Consecutive Interior e) 3 and 8 E. Linear Pair f) 3 and 5 F. Vertical Angles. g) 1 and 3 7. Find the measure of the missing angles. m 1 = m 2 = m 3 = m 4 =
4 Is there enough information to prove that line p line q? If so, state the theorem or postulate ou would use Find the measure of the missing angles. Lines p and q are not parallel. m 1 m 4 p q m 2 m m Find the value of x that makes lines m and n parallel Decide if the following pairs of lines are parallel, perpendicular or neither. 1 = x = x 1 3 = 3 x = 3 = 2x = 2x Find the slope of the line containing the given points: ( 1, 4) and ( 1, 3) ( 3, 2) and ( 1, 4) ( 3,5) and ( 6,5) m = m = m =
5 Write an equation of the line that passes through the given point P and has the given slope m. Graph each line. Leave our equation in an form. 15. P ( 3, 2); m = 16. P (3, 1); m = -4 Write an equation for a line with the given information: 17. Parallel to passing through the point 18. Perpendicular to passing through Graph the following lines. Show at least two points Lines a and b are perpendicular. Find the value of x. x = a 60⁰ (2X) 0 b
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