Chapter 2: Q18 (page 47)

Mention what can be deduced from the given information.
Given: $\bar{A C}$ bisects $\bar{D B}$
$\bar{D B}$ bisects $\bar{A C}$
$C E = B E$

Short Answer

Expert verified

The information that can be deduced is:

$A C = B D$ and $A E = C E = B E = D E$

Step by step solution

Step 1. Observe the diagram.

Here, $\bar{A C}$ bisect $\bar{D B}$ , $\bar{D B}$ bisects $\bar{A C}$ and $C E = B E$ .

Step 2. Show the calculation.

It is known that $A E = C E$ because the segment is bisected.

Then due tthe same reason $B E = D E$ .

But, because $C E = B E$ , all of them are equal (transitive property).

Now $A C = B D$ because each is made up of two of the smaller segments, which are all equal.

Thus, $A C = B D$

$A E = C E = B E = D E$

Step 3. State the conclusion.

Therefore, the information that can be deduced considering the diagram and the information $\bar{A C}$ bisect $\bar{D B}$ , $\bar{D B}$ bisects $\bar{A C}$ and $C E = B E$ are:

$A C = B D$ and

$A E = C E = B E = D E$

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Mention what can be deduced from the given information.
Given: $\bar{A C}$ bisects $\bar{D B}$
$\bar{D B}$ bisects $\bar{A C}$
$C E = B E$

Short Answer

Step by step solution

Step 1. Observe the diagram.

Step 2. Show the calculation.

Step 3. State the conclusion.

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Mention what can be deduced from the given information.Given: AC¯bisects DB¯DB¯bisects AC¯CE=BE

Short Answer

Step by step solution

Step 1. Observe the diagram.

Step 2. Show the calculation.

Step 3. State the conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

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Study anywhere. Anytime. Across all devices.

Mention what can be deduced from the given information.
Given: $\bar{A C}$ bisects $\bar{D B}$
$\bar{D B}$ bisects $\bar{A C}$
$C E = B E$