The triangles ABC and FEG are similar.
The below are the pairs of corresponding sides :

1. AB and EF
2. AC and FG
3. BC and EG

Which of the following is true ?

\frac{C D}{A B} = \frac{G H}{H F}

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\frac{B D}{F H} = \frac{B C}{F G}

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

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Solution

The correct option is C $\frac{A B}{E F} = \frac{A C}{F G}$
Since the given triangles are similar, the ratios of corresponding sides are equal.

So, $\frac{A B}{E F} = \frac{A C}{F G} = \frac{B C}{E G}$

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Similar questions

Q. X and Y are two similar triangular rooftops.

So, the ratio of their sides is

\frac{A B}{E F} = \frac{A C}{E G} = \frac{B C}{F G} = 2

Q. X and Y are two similar mountain tops.

So, the ratio of their sides is

\frac{A B}{E F} = \frac{A C}{E G} = \frac{B C}{F G} = 2

The corresponding sides of two similar triangles ABC and DEF are BC = 9.1 cm and EF = 6.5 cm. If the perimeter of $Δ D E F$ is 25 cm, find the perimeter of $Δ A B C$ .

$△ A B C$ is similar to $△ P Q R$ , in $△ A B C, A B = 3.6 c m, B C = 4 c m$ and $A C = 4.2 c m$ . The corresponding sides of $△ A B C$ and $△ P Q R$ are in the ratio $2 : 3$ . Construct $△ P Q R$ .

Find $m ∠ P R Q$ (in deg.)

In a triangle ABC, AB, BC and AC are the sides, then which of the following holds true?

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The triangles ABC and FEG are similar. The below are the pairs of corresponding sides : 1. AB and EF 2. AC and FG 3. BC and EG Which of the following is true ?

The correct option is C ABEF=ACFGSince the given triangles are similar, the ratios of corresponding sides are equal. So, ABEF=ACFG=BCEG

The triangles ABC and FEG are similar.
The below are the pairs of corresponding sides :

1. AB and EF
2. AC and FG
3. BC and EG

Which of the following is true ?

The correct option is C $\frac{A B}{E F} = \frac{A C}{F G}$
Since the given triangles are similar, the ratios of corresponding sides are equal.

So, $\frac{A B}{E F} = \frac{A C}{F G} = \frac{B C}{E G}$