Chapter 2: Q10 (page 40)

Justify each statement with a property from algebra or property of congruence.
If $A B = C D$ , $C D = E F$ and $E F = 23$ then $A B = 23$ .

Short Answer

Expert verified

From the property of congruence, it is proved that $A B = 23$ .

Step by step solution

Step 1. Transitive property of congruence.

If $P Q = M N$ and $M N = R S$ then $P Q = R S$ .

Step 2. Description of step.

Apply transitive property of congruence to the given sides.

$\begin{array}{l} A B = C D = E F \\ A B = E F \end{array}$

Step 3. Description of step.

Substitute 23 for $E F$ into $A B = E F$ to find the required answer.

$\begin{matrix} A B = E F \\ = 23 \end{matrix}$

Therefore, the value of $A B$ is 23.

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Justify each statement with a property from algebra or property of congruence.
If $A B = C D$ , $C D = E F$ and $E F = 23$ then $A B = 23$ .

Short Answer

Step by step solution

Step 1. Transitive property of congruence.

Step 2. Description of step.

Step 3. Description of step.

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Justify each statement with a property from algebra or property of congruence.If AB=CD,CD=EFand EF=23then AB=23.

Short Answer

Step by step solution

Step 1. Transitive property of congruence.

Step 2. Description of step.

Step 3. Description of step.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Pure Maths

Geometry

Applied Mathematics

Probability and Statistics

Mechanics Maths

Study anywhere. Anytime. Across all devices.

Justify each statement with a property from algebra or property of congruence.
If $A B = C D$ , $C D = E F$ and $E F = 23$ then $A B = 23$ .