Which concept is used to prove that the opposite sides of a parallelogram are congruent? congruent rectangles similar rectangles congruent triangles similar triangles

The correct answer is:

Congruent triangles.

Explanation:

Consider the top and bottom sides of the parallelogram parallel lines. The diagonal of the parallelogram would be the transversal.

The diagonal splits each opposite angle into two pieces. Using the diagonal as a transversal means we have two pairs of alternate interior angles; this means each pair is congruent. This gives us two congruent angles in two triangles.

The diagonal of the parallelogram is congruent to itself. This gives us two angles and the side between them; this is the angle-side-angle, or ASA, congruence theorem. This proves that the two triangles are congruent.

Since the two triangles are congruent, the corresponding parts of each triangle would be congruent; this means the opposite sides of the parallelogram are congruent.

answer: i can’t tell you that

step-by-step explanation:

see below

step-by-step explanation:

7.   there are 10 data points in the set.   the middle point is between 5 and 6.   the middle point in the top half is 8   and the middle point in the bottom half is 3. to find the iqr , take point 8 and subtract point 3

mid term   point 8 = 100   point 3 = 88

iqr = 100-88 = 12

final   point 8 = 93   point 3 = 78

iqr = 93 - 78 = 15

the final has the greatest iqr

6.   b - there is a high data value that causes the data set to be asymmetrical for the males: the data for males are high and asymmetrical .   there is an outlier for the males that skews the data

5.   the   iqr is a better measure of spread for the movies and basketball games.   since the basketball game has an outlier, we do not want to use standard deviation for measurement.  

3.   the exam median is much higher than the class median.   the median line is farther to the right on the exams

2.   there is no way to tell what the means are from the box and whisker plots.