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Chapter 2: Q11 (page 42)

Copy everything shown and write a two-column proof.

Given:m鈭�1=m鈭�2;

m鈭�3=m鈭�4;

Prove:m鈭�SRT=m鈭�STR

Short Answer

Expert verified

If a=band c=d, then a+c=b+d.

m鈭�1+m鈭�3=m鈭�2+m鈭�4

Step by step solution

01

Step 1. Apply the addition property of algebra.

If a=band c=d, then a+c=b+d.

m鈭�1+m鈭�3=m鈭�2+m鈭�4

02

Step 2. Angle addition postulate.

From the given figure, it can be observed that some of m鈭�1and m鈭�3gives m鈭�SRT, that is m鈭�2+m鈭�4=m鈭�STR.

From the given figure, it can be observed that some of m鈭�2and m鈭�4gives m鈭�STR, that is m鈭�2+m鈭�4=m鈭�STR.

03

Step 3. Apply substitution property.

Substitute m鈭�SRTfor m鈭�1+m鈭�3and m鈭�STRfor m鈭�2+m鈭�4in step 1.

m鈭�1+m鈭�3=m鈭�2+m鈭�4m鈭�SRT=m鈭�STR

04

Step 4. Write a two-column proof.

Write a two-column proof with the help of the above-mentioned steps.

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Most popular questions from this chapter

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