Chapter 5: Q. 18 (page 201)

Given: $ABCD$ is a parallelogram; $\bar{AD} ≅ \bar{AC}$ ; $\bar{AE} ≅ \bar{EC}$ ; $∠ ADF ≅ ∠ CDF$ ; $m ∠ DAC = 36$ .
Complete each statement about the diagram.
18. $\bar{AE} ≅ \bar{EC}$ , so $\bar{BE}$ is a(n) of $△ ABC$ .

Short Answer

Expert verified

$\bar{A E} ≅ \bar{E C}$ , so $\bar{B E}$ is amedian of $△ A B C$ .

Step by step solution

- Observe the given diagram.

The given diagram is:

- Write the definition of median.

The median is the line segment drawn from the vertex to the midpoint of the opposite side.

- Write the complete statement.

$\bar{A E} ≅ \bar{E C}$ , so $\bar{B E}$ is amedian of $△ A B C$ .

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Given: $ABCD$ is a parallelogram; $\bar{AD} ≅ \bar{AC}$ ; $\bar{AE} ≅ \bar{EC}$ ; $∠ ADF ≅ ∠ CDF$ ; $m ∠ DAC = 36$ .
Complete each statement about the diagram.
18. $\bar{AE} ≅ \bar{EC}$ , so $\bar{BE}$ is a(n) of $△ ABC$ .

Short Answer

Step by step solution

- Observe the given diagram.

- Write the definition of median.

- Write the complete statement.

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Given:ABCDis a parallelogram;AD¯≅AC¯;AE¯≅EC¯;∠ADF≅∠CDF;m∠DAC=36.Complete each statement about the diagram.18.AE¯≅EC¯, soBE¯ is a(n) of△ABC .

Short Answer

Step by step solution

- Observe the given diagram.

- Write the definition of median.

- Write the complete statement.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Calculus

Statistics

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Geometry

Probability and Statistics

Study anywhere. Anytime. Across all devices.

Given: $ABCD$ is a parallelogram; $\bar{AD} ≅ \bar{AC}$ ; $\bar{AE} ≅ \bar{EC}$ ; $∠ ADF ≅ ∠ CDF$ ; $m ∠ DAC = 36$ .
Complete each statement about the diagram.
18. $\bar{AE} ≅ \bar{EC}$ , so $\bar{BE}$ is a(n) of $△ ABC$ .