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Chapter 2: Q12 (page 40)

Copy everything shown and supply missing statements and reasons.

Given:ST=RN;IT=RU

Prove: SI=UN

Proof;

Short Answer

Expert verified

From the given figure, it can be observed that some of SIand ITgives ST, that is ST=SI+IT.

From the given figure, it can be observed that some of RUand UNgives RN, that is RU+UN=RN.

Step by step solution

01

Step 1. Apply segment addition postulate.

From the given figure, it can be observed that some of SIand ITgives ST, that is ST=SI+IT.

From the given figure, it can be observed that some of RUand UNgives RN, that is RU+UN=RN.

02

Step 2. Apply Substitution property.

Substitute SI+ITfor STand RU+UNfor RNin ST=RN.

ST=RNSI+IT=RU+UN

03

Step 3. Apply subtraction property of algebra to step 2.

If a=band c=d, then a鈭�c=b鈭�d.

SI+IT=IT+UNSI=UN

Hence it is proved that SI=UN.

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