Geometry assignment; 10-21

We spent time going over homework today and then practicing one final parallel line proof together.  The rest of the period was spent working on a review sheet together.  I've included the answers to the review sheet problems below.  The students only needed to do selected one, but I've included all the answers here for those students who may want to get in extra practice.

The chapter 3 test is tomorrow.

Assignment:  Chapter 3 review sheet


Properties of Parallel Lines    (page 12 of review packet)

1.  If 2 parallel planes are cut by a 3rd plane, the lines of intersection are parallel.
2.  If a transversal line is perpendicular to one of a pair of parallel lines, then it is perpendicular to the other one also.
3.  alternate interior
4.  corresponding
5.  same-side interior
6.  none of these
7.  angles 1 , 13, and 15
8.  angles 2, 4, and 6
9.  angles 1, 3, 5, 7, 11, 13, 15
10.  angles 2, 4, 6, 8, 10, 12, 14, 16
11.  angle 11 = 55 degrees;  angle 15 = 55 degrees
12.  angle 4 = y;   angle 3 = 180 - y
13.  x = 70;  y = 90
14.  x = 15;  y = 40

Proving Lines Parallel    (page 13 of review packet)

1.  segment GA parallel to segment EC
2.  segment GE parallel to segment AD
3.  segment GB parallel to segment ED
4.  none
5.  segment GB parallel to segment ED
6.  segment GB parallel to segment ED
7.  segment AD parallel to segment GE
8.  segment GB parallel to segment ED
9.  segment GE parallel to segment AD
10.  x = 9;  y = 22
11.  x = 21;  y = 17
12.          1.  given,   2.  def. of angle bisector,  3.  angle 1 is congruent to angle 2;  4.  transitive property
               5.  if alt. int. angles are congruent, then lines are parallel

3-5 Angles of a Polygon    (page 36 on review packet)

9.  50
10.  100
11.  90
12.  100
13.  60, 120
14.  90, 90
15.  120, 60
16.  144, 36
17.  156, 24
18.  6
19.  24
20.  3
21.  3
22.  18
23.  10


Parallel Lines and Planes  (page 16 of review packet)

1.  true
2.  true
3.  false
4.  angles 4, 5, and 8
5.  140 degrees
6.  x = 20
7.  x = 37
8.  if alt. int. angles are congruent, then lines are parallel
9.  if lines are parallel, then same-side interior angles are supplemental
10.  if corresponding angles are congruent, then lines are parallel
11.  x = 155;  y = 25
12.  x = 18;  y = 18
13.  exterior angle = 36;  interior angle = 144
14.  15-sides;  int. angle is 156 degrees
15.  -64,  128