Answer:
The correct options are;
1. Definition of supplementary angles
2. m∠1 + m∠2 = m∠1 + m∠3
3. m∠2 = m∠3
4. Definition of Congruent Angles
Step-by-step explanation:
The two column proof is presented as follows;
Statement
Reason
1. ∠1 and ∠2 are supplementary
Given
∠1 and ∠3 are supplementary
2. m∠1 + m∠2 = 180°
Definition of supplementary angles
m∠1 + m∠3 = 180°
3. m∠1 + m∠2 = m∠1 + m∠3
Transitive Property
4. m∠2 = m∠3
Subtraction Property of Equality
5. ∠2 ≅ ∠3
Definition of Congruent Angles
Given that angles ∠1 and ∠2 are supplementary angles and angles ∠1 and ∠3 are are also supplementary angles, then the sums of m∠1 + m∠2 and m∠1 + m∠3 are equal, therefore, ∠2 and ∠3 have equal quantitative value and therefore ∠2 = ∠3 and by definition, ∠2 ≅ ∠3.
Answer:
Polynomial is an expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable(s).
The distance between the school and the library is less. Then the library is closer to school.
<h3>What is dilation?</h3>
Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered.
There is no effect of dilation on the angle.
On one map of a town, the scale from the town to the map is 12mi:3cm.
The school is 2.5cm from the grocery store on this map.
Then the distance between the school and the grocery store will be
⇒ (12 / 3) x 2.5
⇒ 10 miles
On a different map of the same town, the scale from the town to the make is 12mi: 2cm.
The school is 1.5cm from the library on that map.
Then the distance between the school and the library will be
⇒ (12 / 2) x 1.5
⇒ 9 miles
Thus, the distance between the school and the library is less.
Then the library is closer to school.
More about the dilation link is given below.
brainly.com/question/2856466
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