Match the reasons with the statements to complete the proof for theorem 3-6, subtraction property of equality, given that angles 2,3 and angles 1,3 are complementary.
1 .
Definition of Complementary Angles
m ∠1 = m ∠2
2 .
Given
∠2 and ∠3 are complementary, ∠1 and ∠3 are complementary
3 .
Subtraction Property of Equality
4 .
Substitution
m ∠1 + m ∠3 = m ∠2 + m ∠3
before i answer these questions, what lesson and unit is this, if you go to connecions acadamy
NVM. I got 2 out of 4 on it.
To complete the proof for theorem 3-6, subtraction property of equality, given that angles 2,3 and angles 1,3 are complementary, we need to match the reasons with the statements:
1. Definition of Complementary Angles:
This statement asserts that the measure of angle 1 is equal to the measure of angle 2, since both angles are complementary to angle 3.
2. Given:
This statement indicates that angle 2 and angle 3 are complementary, and angle 1 and angle 3 are complementary. This information is provided as part of the given information for the theorem.
3. Subtraction Property of Equality:
This reason is used to justify the next step in the proof, which involves subtracting the measure of angle 3 from both sides of the equation.
4. Substitution:
This statement represents the next step in the proof, where we substitute the measures of angle 2 and angle 3 into the equation. The equation becomes: measure of angle 1 + measure of angle 3 = measure of angle 2 + measure of angle 3.
By matching the reasons with the statements, we have completed the proof for theorem 3-6 using the subtraction property of equality.