PLEASE ANSWER !!! NEED DONE ASAP

1. is △ABC =~ △DCE? justify your answer below.

2. is △ABC =~ △XYZ? justify your answer below.

3. is △RST =~ △VUT? justify your answer below.

4. is △DEF =~ △DHG? justify your answer below.

5. is △JKL =~ △KJM? justify your answer below.

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indrawboy indrawboy · Answer 1 · 2019-11-24T14:46:13+01:00

Only the triangles in figures 5 are congruent

Triangles are said to be congruent if:

1. all three sides equal (SSS ---> side, side, side)
2. two sides and the included angle of 2 triangles, are equal (SAS -> Side, Angle, Side)
3. If the two angles and the included sides of the 2 triangles are equal (ASA -> Angle, Side, Angle)
4. If the two angles and the non-included sides of 2 triangles are equal (AAS -> Angle, Angle, Side)

1. △ABC ≠ △DCE : not congruent

at least 3 parts (sides or angles) are compared, in the picture only 2 sides are compared

2. △ABC ≠ △XYZ : not congruent

the angles not includes between two sides

3. △RST ≠ △VUT : not congruent

a minimum of 3 parts (sides or angles) are compared, in the picture only 1 angle and 1 side are compared

4. △DEF ≠ △DHG : not congruent

at least 3 parts (sides or angles) are compared, in the picture only 2 sides are compared

5. △JKL ≅ △KJM : congruent with ASA theorem

Triangles UVW = XYZ might not be congruent

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Keywords : triangle, the SAS Similarity Postulate, side, similar,angles,SAS,ASA,AAS,SSS

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