Chapter 5: Q11 (page 180)

$\overset{\leftrightarrow}{AE}, \overset{\leftrightarrow}{BF}, \overset{\leftrightarrow}{CG}$ and $\overset{\leftrightarrow}{DH}$ are parallel, with $EF = FG = GH$ . Complete.
If $AC = 12$ , then $CD =$ ? .

Short Answer

Expert verified

The length of CD is 6 units.

Step by step solution

Step 1. Consider the diagram.

The parallel lines are shown as:

AE, BF, CG and DH are parallel to each other and $E F = F G = G H$ .

The length of AC is 12 units

Step 2. Show the calculation.

Here, ADHE is the trapezoid as AE is parallel to DH.

As $E F = F G = G H$ and AE, BF, CG and DH are parallel to each other then the lines BF and CG are the midsegment of the trapezoid.

Hence,

$A B = B C = C D$

The length of CD is calculated as:

$\begin{matrix} A C = A B + B C \\ 12 = C D + C D \\ 12 = 2 C D \\ C D = 6 \end{matrix}$

Thus, the length of CD is 6 units.

Step 3. State the conclusion.

Therefore, the length of CD is 6 units.

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

$\overset{\leftrightarrow}{AE}, \overset{\leftrightarrow}{BF}, \overset{\leftrightarrow}{CG}$ and $\overset{\leftrightarrow}{DH}$ are parallel, with $EF = FG = GH$ . Complete.
If $AC = 12$ , then $CD =$ ? .

Short Answer

Step by step solution

Step 1. Consider 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

Applied Mathematics

Pure Maths

Mechanics Maths

Decision Maths

Probability and Statistics

Statistics

Study anywhere. Anytime. Across all devices.

AE↔,BF↔,CG↔and DH↔ are parallel, with EF=FG=GH. Complete.If AC=12, thenCD= ? .

Short Answer

Step by step solution

Step 1. Consider 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

Applied Mathematics

Pure Maths

Mechanics Maths

Decision Maths

Probability and Statistics

Statistics

Study anywhere. Anytime. Across all devices.

$\overset{\leftrightarrow}{AE}, \overset{\leftrightarrow}{BF}, \overset{\leftrightarrow}{CG}$ and $\overset{\leftrightarrow}{DH}$ are parallel, with $EF = FG = GH$ . Complete.
If $AC = 12$ , then $CD =$ ? .