Geometry: Unit 3 TEST - Free Response

Use the figure below for questions 1 2. 1. If m∠2 = (7x + 12)° and m∠7 = (3x + 62)°, find the m∠3.(this answer has a decimal) m∠3 = 99.5° 2. If m∠1 = (8x - 7)° and m∠6 = (2x - 13)°. find the value of x. x = 20 3. If lines p and q are parallel, what must the value of x be? x = 5 4. Justify whether or not this is a right triangle. Slopes of RS and SQ are opposite reciprocals, so RS and SQ are perpendicular, which makes angle S a right angle. Slopes of RS and SQ are opposite signs, so RS and SQ are parallel, which makes angle S a right angle. Slopes of RS and SQ are the same, so RS and SQ are perpendicular, which makes angle S a right angle. The picture looks like angle S is a right angle, and any triangle with a right angle is a right triangle. 5. Are lines a and b parallel? Why or why not? Lines a and b (are not) are not parallel, because (Alternate Interior Angles Side Interior angles) Same Side Interior angles must be (congruent supplementary, and the given angles have a combined measure of (180 182degrees. 6. Given the two functions y = 1 + 7 and -x + 2y = -8. Are the lines parallel, perpendicular or neither? Explain your reasoning. The lines are parallel, because they have the same slope. 7. Find the equation of the line, in point-slope form, that is perpendicular to the line containing points (2,3) and (6,2) passing through (-4,5).*leave your equation in point-slope form - no need to convert it to slope-intercept. y-5=4(x+4) 8. Given: n || m, ∠1 ≌ ∠2 Prove: p || r (fill in the table) Statements Reasons 1. n || m Given 2. ∠1 ≌ ∠ 3 Alternate Interior Angles Theorem 3. ∠1 ≌ ∠ 2 Given 4. ∠ 2 ≌ ∠ 3 Substitution Property of Equality 5. p || r Converse of Alternate Interior Angles Theorem BONUS! Given coordinates A(-2, 10) and B(-4, 6). What is the equation of the line, in point-slope form, that is the perpendicular bisector of AB ? Must show all work! This question is all or none! 4 points to correct scoring issue