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45 votes
45 votes
Can someone pls help me with this? i would appreciate it

Can someone pls help me with this? i would appreciate it-example-1
User Paulusm
by
3.3k points

2 Answers

21 votes
21 votes
the two on the right

in geometry, for (in this case) triangles to be congruent they must be the same size, corresponding angle measures, and side lengths.

the little ticks on lines and angles are used to show congruence. For instance, if two lines both have two tick marks that means they are congruent or if an two angles each had one tick then it is saying they are congruent.

so for the top right:
line UV = line XY (they’re both 6.5)
line TU = line WX (they’re both 3)
line TV = line WY (they’re both 7)
so all the proper side lengths are congruent

angle VTU = angle YWX (they both have one tick mark to show congruence)
angle TUV = angle WXY (they both have three tick marks to show congruence)
angle UVT = angle XYW (they both have two tick marks to show congruence)
so all the proper angle measurements are congruent

therefore triangle TVU is congruent to triangle WYX

For the bottom right triangles:
line EF = line QR (they both have two tick marks to show congruence)
line DE = line PQ (they both have one tick mark to show congruence)
line DF = line PR (they both have three tick marks to show congruence)
so the proper side lengths are congruent

angle DEF = angle PQR (as it is given they are both 90°)
angle EFD = angle QRP (they both have two tick marks to show congruence)
angle FDE = angle RPQ (they both have one tick mark to show congruence)
so all the proper angle measurements are congruent

therefore triangle DFE is congruent to triangle PRQ

(triangle PRQ is just rotated)

hope this helps :)
User Kushan
by
2.8k points
13 votes
13 votes

Answer:

the 2 right ones..because they have the dashes meaning congruent

Explanation:

the left 2 have different measurements

User David Rivers
by
2.6k points