What is the missing step in this proof? scroll down to see the entire proof.

statement: de=12af
reason: definition of midpoint

statement: de = af
reason: definition of midpoint

statement: de is parallel to ac .
reason: definition of parallel lines

statement: de = af
reason: corresponding sides of congruent triangles are congruent.

Solution:

1.Let me define the term midpoint first. Mid point means that point on the line segment which divides the line segment into two equal parts.

So, Option 1 is invalid.

2. Option 2 is also invalid.why this is invalid because if S is mid point of AB, it means, SA=SB.

3. Option 3 is invalid. Two lines are parallel if ,

(a) Sum of interior angles on the same side of Transversal is 180 degree.

(b) Corresponding angles are equal.

(c) Alternate interior or exterior angles are equal.

4. Option 4 is true which is ,DE=FA,

→→if these are corresponding sides of congruent triangles, then it must be equal.

As, when triangles are congruent , their corresponding sides as well as interior angles of two triangles are equal.

D E=A F

Step-by-step explanation:

Corresponding sides of congruent triangles are congruent

8121 because

130,000 divided by 16 is 8121

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.