Pre-Calculus Homework Solutions 251

Pre-Calculus Homework Solutions 251 - slope of MR ¬ 4 0)2...

This preview shows page 1. Sign up to view the full content.

This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: slope of MR ¬ ( 4 0)2 [ 3 ( 4)]2 ¬ 17 Since CD FG, CD FG. Next, use the Slope Formula to determine whether CD FG. FG y1 x1 23 3 ( 7) 1 4 3 ( 4) 40 1 4 ¬ ¬ slope of FG y ¬x slope of PR y 7 5 7 5 ( 4) ( 2) 4 2 ¬x y ¬x x 7 and y 3. slope of MR slope of NP y x y M ( 1) ( 1) 1 1 Move R: slope of MN ¬ ¬ CD and FG have the same slope, so they are parallel. Since one pair of opposite sides is congruent and parallel, CDFG is a parallelogram. 33. y ¬x Again, x 0 and y 9. So, move P to (0, 9). y2 x2 slope of CD slope of NP 8 1 8 1 6 ( 6) y6 x6 ¬3 1 ¬3 1 Again, x 7 and y 3. So, move R to ( 7, 3). 34. y Q Ox S N R W Sample answer: Hold N, P, and R fixed. Let M be M(x, y). Find the slopes of MN and MR so that they equal those of PR and NP, respectively. slope of MN slope of PR 1 1 1 1 y x y x 2 T Hold S, T, and W fixed. Let Q be Q(x, y). Find the slopes of QS and QW so that they equal those of TW and ST, respectively. slope of QS slope of TW ( 4) ( 2) ¬5 ¬ 23 1 4 1 4 1 4 If x 4 and y 1, then MN PR. slope of MR slope of NP 2 5 2 5 y x y x 4 ( 1) ( 1) ¬2 ¬3 1 6 x ( 6) y6 x6 y 1 5 1 5 1 5 ¬ 23 ¬ 32 4 6 ( 6) 8 1 Move P: slope of MN 1 x 0 and y ¬2 1 6 ( 6) 7 5 1 4 ¬3 5 ¬3 5 y x x 1 and y slope of QW Again, x 3 and y 4. So, move N to ( 3, 4). 1 y x y x y x y x ¬2 ( 2) ( 1) ¬ 41 y x ¬2 4 1 ¬5 ¬ 14 If x 0 and y 2, then QW ST. Move Q to (0, 2) to make both pairs of opposite sides parallel. Then QSTW is a parallelogram. Perform the same process for the other vertices. Move S: slope of QS slope of TW x 3 and y 4. slope of MR slope of NP 2 y x y x y x If x 0 and y 2, then QS TW. slope of QW slope of ST If x 4 and y 1, then MR NP. Move M to ( 4, 1) to make both pairs of opposite sides parallel. Then MNPR is a parallelogram. Perform the same process for the other vertices. Move N: slope of MN slope of PR 5 x O P 1 slope of PR 2 5 y ¬5 x 2y ¬5 x 3 ( 3) 4 2 3 ( 3) y3 x3 ¬ 41 ¬ 41 2. slope of ST 2 y ¬1 x 2y ¬1 x Again, x 1 and y 2. So, move S to (1, 2). 9. 253 Chapter 8 ...
View Full Document

{[ snackBarMessage ]}

Ask a homework question - tutors are online