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

The graph shows triangles

and

congruent to

Justify your answer.

Yes, because a rotation

clockwise around the origin maps

onto

Yes, because a reflection across the

-axis

maps

onto

No, because

and

do not have the same length.

No, because

∠

and

∠

do not have the same measure.

ref_doc_title.

Learn with an example

question

The graph shows triangles

and

congruent to

Justify your answer.

Yes, because a reflection across the

-axis

maps

onto

Yes, because a translation right 11 units and up 2 units maps

onto

No, because

∠

and

∠

do not have the same measure.

No, because

and

do not have the same length.

key idea

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

Two figures are congruent if and only if all pairs of corresponding sides and angles are congruent.

solution

This sentence correctly states and justifies that

and

are not congruent.

green checkmark, No, because and do not have the same measure.

Translate right 11 units and up 2 units to get . Notice that and do not have the same measure.

and

do have the same length, so this sentence is incorrect.

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

Translate right 11 units and up 2 units to get . Notice that and do have the same length.

and

are not congruent, so these sentences are incorrect.

red X symbol, Yes, because a reflection across the -axis maps onto .

red X symbol, Yes, because a translation right 11 units and up 2 units maps onto .

Looking for more? Try this:

Lesson: Congruence

$Confetti$

Excellent!

Now entering the Challenge Zone—are you ready?

Questions
answeredQuestions

Time
elapsedTime

hr	min	sec
00	00	02

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:

Identify congruent figures

Lesson: Congruence

Excellent! You got that right!

Jumping to level 1 of 1

Excellent!