-Provide Missing Statements and Missing Reasons for the Following Proof

question 15

Essay

-Provide missing statements and missing reasons for the following proof.
Given: ; M is the midpoint of and N is the midpoint of Prove: S1. R1.
S2. , , and R2.
S3. R3. Given
S4. R4. The midpoints of two congruent line segments
divide the segments into 4 congruent segments.
S5. R5.
S6. R6.

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Definitions:

Mean

The mean of a collection of numbers, found by dividing their total sum by the quantity of numbers in the set.

μ

The symbol commonly used to represent the mean or average of a population in statistics.

σ

Represents the standard deviation of a population in statistics, measuring the dispersion of dataset values from the mean.

Normally Distributed

Refers to a probability distribution that is even on both sides of its mean, indicating that values close to the mean happen more often than values far from the mean.