Given: line segment a b is parallel to line segment d c and measure of angle 2 equals measure of angle 4 prove: line segment a d is parallel to line segment b c a parallelogram has points a b c d. angle d a b is angle 1, angle a b c is angle 2, angle b c d is angle 3, and angle c d a is angle 4. a 2-column table with 7 rows. column 1 is labeled statements and has entries line segment a b is parallel to line segment d c, measure of angle 2 = measure of angle 4, angle 1 and angle 4 are supplements, question mark, measure of angle 1 + measure of angle 2 = 180 degrees, angle 1 and angle 2 are supplements, line segment a d is parallel to line segment b c. column 2 is labeled reasons with entries given, given, same side interior angles theorem, definition of supplementary angles, substitution, definition of supplementary angles, converse same side interior angles theorem. m∠1 = m∠4 m∠2 = m∠3 m∠1 + m∠4 = 180° m∠2 + m∠3 = 180°

Match the following terms with their definitions. 1. bisector of a segment ray ba and ray bc are opposite rays if a, b, and c are collinear and b (the endpoint of both rays) is between a and c. 2. opposite rays a ray, , is the set of points beginning at point a and going infinitely in the direction of point b. 3. collinear points a line or segment that intersects the segment at its midpoint. 4. betweenness of points a set of two or more points all on the same line. 5. ray the distance between the endpoints of a segment. 6. space point b is between a and c if a, b, and c are collinear and the equation ab + bc = ac is true, where ab, bc, and ac are the distances between points a and b, b and c, and a and c, respectively. 7. midpoint of a segment a set of two or more points all on the same plane. 8. coplanar points the point on a segment that divides the segment into two equal segments. 9. length of a segment the set of all possible points. 10. line segment the set of two different endpoints and all points between them.

If x is 6, then 7x= a. 13 b. 42 c. 42x d. 76

From the beginning of the day the temperature rose 15 degrees so that by 4 pm it was 87 degrees. what was the temperature at the start of the day