In the figure above, $¯ ¯¯¯¯¯¯ ¯ A E | | ¯ ¯¯¯¯¯¯¯ ¯ C D$ and segment $A D$ intersects segment $C E$ at $B$ . What is the length of segment $C E$ ?

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Solution

The correct option is C 12
Clearly, the triangle $B C D$ and triangle $A B E$ are similar.
$\Rightarrow \frac{B C}{B E} = \frac{B D}{A B}$
$\Rightarrow \frac{B C}{8} = \frac{5}{10}$
$\Rightarrow B C = 4$
$\Rightarrow C E = C B + B E = 4 + 8 = 12$

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Similar questions

Q. In given figure, lIIm and line segments AB, CD and EF are concurrent at point P. Prove that

\frac{A E}{B F} = \frac{A C}{B D} = \frac{C E}{F D}

Assertion: If AB = CD, then BE = DE and AE = CE, where E is the point of intersection of AD and BC.

Reason: Angles in the same segment are equal.

Which of the following options is correct?

Question 13
In the given figure, l||m and line segments AB, CD and EF are concurrent at point P. Prove that
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Question 13
In the given figure, l||m and line segments AB, CD and EF are concurrent at point P. Prove that
$\frac{A E}{B F} = \frac{A C}{B D} = \frac{C E}{F D}$ .

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In the figure above, ¯¯¯¯¯¯¯¯AE||¯¯¯¯¯¯¯¯¯CD and segment AD intersects segment CE at B. What is the length of segment CE?

The correct option is C 12Clearly, the triangle BCD and triangle ABE are similar.⇒BCBE=BDAB⇒BC8=510⇒BC=4⇒CE=CB+BE=4+8=12

In the figure above, $¯ ¯¯¯¯¯¯ ¯ A E | | ¯ ¯¯¯¯¯¯¯ ¯ C D$ and segment $A D$ intersects segment $C E$ at $B$ . What is the length of segment $C E$ ?

The correct option is C 12
Clearly, the triangle $B C D$ and triangle $A B E$ are similar.
$\Rightarrow \frac{B C}{B E} = \frac{B D}{A B}$
$\Rightarrow \frac{B C}{8} = \frac{5}{10}$
$\Rightarrow B C = 4$
$\Rightarrow C E = C B + B E = 4 + 8 = 12$