# TSI Math: Proving Congruency by Mapping One Triangle on Top of Another

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Select the sequence for triangle ABC that shows that triangle ABC is congruent to triangle DEF.

Geometry and Measurement | Transformations and Symmetry |

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TSI | Mathematics and Statistics Assessment TSI Math TSI Mathematics |

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### Transcript

the triangles are khun grew in using translations gordon must

map one triangle onto the other to avoid finding the

coordinates for each stephanie sequence of translations Gotta figure out

which sequence would place the triangle in the correct quadrant

Right So got quadrant four there that it's sitting in

rotating now degrees about the origin lanes The triangle in

quadrant three reflecting over the x axis places it back

in quadrant two and shifting it down two units while

probably leaves it in quadrant two So the first series

of translations a is out Let's Try the second siri's

be here What if we reflect over why Access and

we get quadrant one reflect over the x axis We

have quadrant four Then we rotated two hundred seven degrees

about point c That's quadrant three You know it didn't

work either Did it Moving on How about third one

See here Okay Rotate ninety degrees about point b Get

quadrants of one and two i guess Shift nine units

Right That's quadrant one Shift eight units down is probably

quite a bit three Looks like take a closer look

at the sequence Well a rotation of nine degrees about

point b would result in the bc line being parallel

to the x axis Those translation won't work so by

default the last sequence is the correct one d Here

look at the sequence Through the eyes are coordinates of

point b there rotate to seventy about point being that

gets us well is a negative five two and then

shift eight units down We have negative five negative six

and then shift nine units right for minus six We'll

be corresponds to e and e is four negative six

So this is the correct sequence of translations answers day 00:01:58.45 --> [endTime] happening Move on From this we are shmoop