Chapter 2: Q8. (page 67)

Justify each statement with a property from algebra or a property of congruence.
If $\bar{AB} ≅ \bar{CD}$ and $\bar{CD} ≅ \bar{EF}$ then $\bar{AB} ≅ \bar{EF}$ .

Short Answer

Expert verified

From the property of congruence, it is proved that $\bar{A B} ≅ \bar{E F}$ .

Step by step solution

Step 1. Transitive property of congruence.

If $\bar{P Q} ≅ \bar{M N}$ and $\bar{M N} ≅ \bar{R S}$ then $\bar{P Q} ≅ \bar{R S}$ .

Step 2. Description of step.

Apply transitive property of congruence to the given sides, that is, to the sides, $\bar{A B}$ , $\bar{C D}$ and $\bar{E F}$ .

Step 3. Description of step.

Therefore, $\bar{A B} ≅ \bar{C D}$ , $\bar{C D} ≅ \bar{E F}$ gives $\bar{A B} ≅ \bar{E F}$ .

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Justify each statement with a property from algebra or a property of congruence.
If $\bar{AB} ≅ \bar{CD}$ and $\bar{CD} ≅ \bar{EF}$ then $\bar{AB} ≅ \bar{EF}$ .

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 a property of congruence.If AB¯≅CD¯and CD¯≅EF¯then AB¯≅EF¯.

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

Calculus

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Theoretical and Mathematical Physics

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Decision Maths

Study anywhere. Anytime. Across all devices.

Justify each statement with a property from algebra or a property of congruence.
If $\bar{AB} ≅ \bar{CD}$ and $\bar{CD} ≅ \bar{EF}$ then $\bar{AB} ≅ \bar{EF}$ .