Select the correct answer from each drop-down menu. In the figure, and bisect each other. Complete the statements to prove that quadrilateral ABCD is a parallelogram.

StatementReason
and bisect each other. given
and definition of bisection
m∠AEB = m∠CED
SAS criterion
∠ACD ≅ ∠CABCorresponding angles of congruent triangles are congruent.
converse of Alternate Interior Angles Theorem
m∠BEC = m∠AEDVertical Angles Theorem
SAS criterion for congruence

Quadrilateral ABCD is a parallelogram. definition of a parallelogram

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.

Which statement about the relative areas of ? abc and ? xyz is true? the area of ? abc > the area of ? xyz the area of ? abc < the area of ? xyz the area of ? abc = the area of ? xyz more information is needed to compare.

To solve the system of equations below, pedro isolated the variable y in the first equation and then substituted it into the second equation. what was the resulting equation? { 5y=10x {x^2+y^2=36