State true or false:

Triangles shown below are similar.

True

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False

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Solution

The correct option is A
True

If the ratios of corresponding sides of two triangles are same, then the triangles are similar.

Here,

$\frac{J L}{X Z}$ = $\frac{35}{10}$ = 3.5

$\frac{J K}{X Y}$ = $\frac{28}{8}$ = 3.5

$\frac{L K}{Z Y}$ = $\frac{35}{10}$ = 3.5

Hence given triangles are similar.

Suggest Corrections

Similar questions

State true or false.
Are the below shown figures similar?

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All corresponding angles are equal for two similar triangles.

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The similarity of the constructed triangles is proved by the AA similarity criteria.

Q. State whether true or false
We only need to check if the corresponding angles are equal for two triangles to be similar.

In both the figures given below, all of the respective sides are equal and all interior angles are $90^{\circ}$ . The figures shown below are similar. State whether true or false.

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State true or false: Triangles shown below are similar.

The correct option is A True If the ratios of corresponding sides of two triangles are same, then the triangles are similar. Here, JLXZ = 3510 = 3.5 JKXY = 288 = 3.5 LKZY = 3510 = 3.5 Hence given triangles are similar.

State true or false:

Triangles shown below are similar.

The correct option is A
True

If the ratios of corresponding sides of two triangles are same, then the triangles are similar.

Here,

$\frac{J L}{X Z}$ = $\frac{35}{10}$ = 3.5

$\frac{J K}{X Y}$ = $\frac{28}{8}$ = 3.5

$\frac{L K}{Z Y}$ = $\frac{35}{10}$ = 3.5

Hence given triangles are similar.