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

The graph shows triangles

and

congruent to

Justify your answer.

Yes, because a rotation

clockwise

around the origin maps

onto

Yes, because a translation right 3 units and up 9 units 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 quadrilaterals

and

congruent to

Justify your answer.

Yes, because a reflection across the

-axis

maps

onto

Yes, because a translation right 10 units maps

onto

No, because

and

do not have the same length.

No, because

∠

and

∠

do not have the same measure.

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 congruent.

green checkmark, Yes, because a translation right 10 units maps onto .

Translate right 10 units to get . Notice that coincides with .

A reflection across the y-axis does not map

onto

so this sentence is incorrect.

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

Reflect across the y-axis to get . Notice that does not coincide with .

and

are congruent, so these sentences are incorrect.

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

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

Looking for more? Try these:

Lesson: Congruence

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Teacher tools

Work it out

Not feeling ready yet? These can help:

H.13Sequences of congruence transformations: choose the sequence

K.3Identify congruent figures

Lesson: Congruence

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