IXL - Determine if two figures are similar: justify your answer (Geometry practice)

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 quadrilaterals

and

similar to

Justify your answer.

Yes, because a dilation by a scale factor of 3 centered at the origin maps

onto

Yes, because a dilation by a scale factor of 2 centered at the origin maps

onto

No, because

is not equal to

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 2 centered at the origin maps onto .

Dilate by a scale factor of 2 centered at the origin to get . Notice that coincides with .

A dilation by a scale factor of 3 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 3 centered at the origin maps onto .

Dilate by a scale factor of 3 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 is not equal to .

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Lesson: Similarity

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Teacher tools

Work it out

Not feeling ready yet? These can help:

I.1Dilations: graph the image

R.13Describe transformations

M.3Identify similar figures

Lesson: Similarity

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