IXL | Determine if two figures are similar: justify your answer

The graph shows triangles

and

similar to

Justify your answer.

Yes, because a dilation by a scale factor of 5 centered at the origin maps

onto

Yes, because a dilation by a scale factor of 4 centered at the origin maps

onto

No, because

∠

and

∠

do not have the same measure.

ref_doc_title.

Learn with an example

question

The graph shows triangles

and

similar to

Justify your answer.

Yes, because a dilation by a scale factor of 5 centered at the origin maps

onto

Yes, because a dilation by a scale factor of 4 centered at the origin maps

onto

No, because

∠

and

∠

do not have the same measure.

key idea

Two figures are similar if and only if one of them can be mapped onto the other by a sequence of translations, reflections, rotations, or dilations.

Two figures are similar if and only if all pairs of corresponding angles are congruent and the lengths of all pairs of corresponding sides are proportional.

solution

This sentence correctly states and justifies that

and

are similar.

green checkmark, Yes, because a dilation by a scale factor of 5 centered at the origin maps onto .

Dilate by a scale factor of 5 centered at the origin to get . Notice that coincides with .

A dilation by a scale factor of 4 centered at the origin does not map

onto

so this sentence is incorrect.

red X symbol, Yes, because a dilation by a scale factor of 4 centered at the origin maps onto .

Dilate by a scale factor of 4 centered at the origin to get . Notice that does not coincide with .

and

are similar, so this sentence is incorrect.

red X symbol, No, because and do not have the same measure.

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Lesson: Similarity

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S.2Dilations: graph the image

R.13Describe transformations

S.1Similar and congruent figures

Lesson: Similarity

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