Question

1. matching.

theorem 5.5a states that if one side of a triangle is longer than another side, then the measure of the angle opposite the
side will be greater than the measure of the angle opposite the
side.

1. choose the correct answer.

a(n) _____ is a statement that compares two expressions that are not equal.
○ theorem
○ postulate
○ inequality
○ equation

Explanation:

Question 4 (Matching)

Step1: Recall Theorem 5.5A (Triangle Side - Angle Relationship)

The theorem states that in a triangle, if one side is longer than another side, the angle opposite the longer side is greater than the angle opposite the shorter side. So the first blank (angle opposite the \_ side) should be "longer" and the second blank (angle opposite the \_ side) should be "shorter".

Step2: Fill in the Blanks

For the first dropdown: "longer" (because the angle opposite the longer side is larger). For the second dropdown: "shorter" (because the angle opposite the shorter side is smaller).

Question 5 (Multiple Choice)

Step1: Analyze Each Option

• Theorem: A statement proven to be true, not about non - equal expressions.
• Postulate: A statement assumed to be true without proof, not about non - equal expressions.
• Inequality: A statement that compares two expressions that are not equal (e.g., \(a > b\), \(a < b\), \(a

eq b\)).

• Equation: A statement that shows two expressions are equal (e.g., \(a = b\)).

Step2: Select the Correct Option

Based on the definitions, the correct option is "inequality".

Answer:

s:

Question 4

First blank: longer; Second blank: shorter

Question 5

The correct answer is: C. inequality (assuming the options are labeled A: theorem, B: postulate, C: inequality, D: equation)