Chapter 5: Q1 (page 192)

For the following figure, X, Y, Z are the midpoints of the sides of isosceles $Δ A B C$ . Explain why XZBA is a trapezoid.

Short Answer

Expert verified

$\bar{X Z} ∥ \bar{A B}$

Step by step solution

Step 1. Check the figure.

Consider the figure.

Step 2. Step description.

A trapezoid is a type of quadrilateral with one pair of parallel sides.

Consider the triangle $Δ A B C$ .

Here the points X and Z are the mid points of $\bar{A B}$ and $\bar{B C}$ .

Step 3. Step description.

Now, the side $\bar{X Z}$ is parallel to the third side $\bar{A B}$ such that $\bar{X Z} ∥ \bar{A B}$ .

Therefore, $X Z B A$ is a quadrilateral with exactly one pair of sides $\bar{X Z}$ and $\bar{A B}$ parallel.

Thus, $X Z B A$ is a trapezoid.

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For the following figure, X, Y, Z are the midpoints of the sides of isosceles $Δ A B C$ . Explain why XZBA is a trapezoid.

Short Answer

Step by step solution

Step 1. Check the figure.

Step 2. Step description.

Step 3. Step description.

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For the following figure, X, Y, Z are the midpoints of the sides of isosceles ΔABC. Explain why XZBA is a trapezoid.

Short Answer

Step by step solution

Step 1. Check the figure.

Step 2. Step description.

Step 3. Step description.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Decision Maths

Discrete Mathematics

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Theoretical and Mathematical Physics

Pure Maths

Study anywhere. Anytime. Across all devices.

For the following figure, X, Y, Z are the midpoints of the sides of isosceles $Δ A B C$ . Explain why XZBA is a trapezoid.