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

centered at the origin maps

onto

Yes, because a dilation by a scale factor of

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.

Looking for more? Try these:

Lesson: Similarity

$Confetti$

Excellent!

Now entering the Challenge Zone—are you ready?

Questions
answeredQuestions

Time
elapsedTime

hr	min	sec
00	00	04

SmartScore
out of 100
IXL's SmartScore is a dynamic measure of progress towards mastery, rather than a percentage grade. It tracks your skill level as you tackle progressively more difficult questions. Consistently answer questions correctly to reach excellence (90), or conquer the Challenge Zone to achieve mastery (100)! Learn more

Teacher tools

Work it out

Not feeling ready yet? These can help:

S.2Dilations: graph the image

R.13Describe transformations

S.1Similar and congruent figures

Lesson: Similarity

Excellent! You got that right!

Jumping to level 1 of 1

Excellent!