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Which pairs of triangles can be shown to be congruent using rigid motions?



Select Congruent or Not Congruent for each pair of triangles.

â–³ABC and â–³MNP
â–³ABC and â–³EFG
â–³ABC and â–³STU
â–³EFG and â–³MNP
â–³EFG and â–³STU
â–³STU and â–³MNP

Which pairs of triangles can be shown to be congruent using rigid motions Select Congruent or Not Congruent for each pair of triangles ABC and MNP ABC and EFG A class=

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gigi1103

Answer:

Not Congruent: ABC and MNP , ABC and EFG , EFG and STU , STU and MNP.

Congruent: ABC and STU , EFG and MNP.

Step-by-step explanation:

Answer:

Not congruent; not congruent; congruent; congruent; not congruent; not congruent.

Step-by-step explanation:

The base of △ABC, BC, is 2 units.  The height of △ABC, extending from A to BC, is 3 units.  This means that any triangle congruent to this will have a base of 2 and a height of 3.

△MNP has a base of 2; however, its height (from M to NP) is 4 units.  Therefore they are not congruent.

â–³EFG has a base of 2 and a height of 4; it and â–³ABC are not congruent.

â–³STU has a base of 2 and a height of 3; it is congruent to â–³ABC.

â–³EFG has a base of 2 and a height of 4, just as â–³MNP; they are congruent.

Since â–³STU is congruent to â–³ABC, and we know that â–³EFG is not congruent to â–³ABC, we know that â–³EFG is not congruent to â–³STU.

Since â–³MNP is congruent to â–³EFG, and â–³EFG is not congruent to â–³STU, then â–³MNP is not congruent to â–³STU.

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