Proving Theorems of Inequalities in One Triangle

In Δ𝑃𝐴𝑌, if |𝑃𝐴|=4 𝑐𝑚, |𝐴𝑌|=5 𝑐𝑚, and |𝑃𝑌|=3 𝑐𝑚, which statement is true?

• A. 𝑚∠𝐴>𝑚∠𝑌

• B. 𝑚∠𝑌>𝑚∠𝑃

• C. 𝑚∠𝐴>𝑚∠𝑃

• D. 𝑚∠𝑃>𝑚∠𝐴

Which of the following statements is true about the figure?

• A. m∠6 = m∠3

• B. m∠5 < m∠3

• C. m∠5>m∠1

• D. m∠4>m∠2

Angles  e and d are what type of angles?

• Vertical Angles
• Corresponding Angles
• Alternate Interior Angles
• Alternate Exterior Angles

Name the smallest angle in this triangle.

• ∠A
• ∠B
• ∠C

What is the answer in number 1?

• 𝑀𝑂 ≅ 𝑂𝐸̅

• |𝐸𝑅| + |𝑅𝑂| > |𝑀𝑂|

• |𝐸𝑅| + |𝑅𝑂| > |𝑂𝐸|

• Cannot be determined

Which of the following is the correct ascending arrangement of the measures of the angles of ∆CEA?

• ∠𝐸, ∠𝐴, ∠𝐶

• ∠𝐴, ∠𝐶, ∠𝐸

• ∠𝐸, ∠𝐶, ∠𝐴

• cannot be determined

7. In the figure below, Chris has proved that |𝐼𝑆|>|𝐼𝑊|. Which of the following statements is NOT part of his proof?

• A. 𝐸𝑆 ≅ 𝐸𝑊

• B. 𝐸𝐼 ≅ 𝐸𝐼

• C. 𝑚∠𝑊<𝑚∠𝑆