Chapter 2: Q9 (page 42)

Copy everything shown and supply missing statements and reasons.
Given: $D W = O N$
Prove: $D O = W N$
Proof:

Short Answer

Expert verified

From the given figure, it can be observed that some of $D O$ and $O W$ gives $D W$ , that is $D W = D O + O W$ .

From the given figure, it can be observed that some of $O W$ and $W N$ gives $O N$ , that is $O N = O W + W N$ .

Step by step solution

Step 1. Apply segment addition postulate.

From the given figure, it can be observed that some of $D O$ and $O W$ gives $D W$ , that is $D W = D O + O W$ .

From the given figure, it can be observed that some of $O W$ and $W N$ gives $O N$ , that is $O N = O W + W N$ .

Step 2. Apply Substitution property.

Substitute $D O + O W$ for $D W$ and $O W + W N$ for $O N$ in $D W = O N$ .

$\begin{matrix} D W = O N \\ D O + O W = O W + W N \end{matrix}$

Step 3. Reflexive property of congruence.

By reflexive property, $O W = O W$ .

Step 4. Apply subtraction property of algebra to step 2.

If $a = b$ and $c = d$ , then $a - c = b - d$ .

$\begin{matrix} D O + O W = O W + W N \\ D O = W N \end{matrix}$

Hence, it is proved that $D O = W N$ .

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Copy everything shown and supply missing statements and reasons.
Given: $D W = O N$
Prove: $D O = W N$
Proof:

Short Answer

Step by step solution

Step 1. Apply segment addition postulate.

Step 2. Apply Substitution property.

Step 3. Reflexive property of congruence.

Step 4. Apply subtraction property of algebra to step 2.

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Copy everything shown and supply missing statements and reasons.Given: DW=ONProve: DO=WNProof:

Short Answer

Step by step solution

Step 1. Apply segment addition postulate.

Step 2. Apply Substitution property.

Step 3. Reflexive property of congruence.

Step 4. Apply subtraction property of algebra to step 2.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Discrete Mathematics

Logic and Functions

Decision Maths

Statistics

Mechanics Maths

Study anywhere. Anytime. Across all devices.

Copy everything shown and supply missing statements and reasons.
Given: $D W = O N$
Prove: $D O = W N$
Proof: