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Geometry Triangles & congruence Worksheets

The triangle angle sum and exterior angles, the triangle inequality, the midsegment theorem and the SSS, SAS, ASA, AAS and HL congruence rules. Every sheet comes with a computed answer key.

Make a mixed triangles & congruence sheet
Triangle angle sum and exterior anglesHSG.CO.C.10Find x.(3x − 45)°(2x + 15)°(4x − 15)°Use the triangle angle sum (180°) and the exterior angle theorem to find missing angles and solve for x.Triangle inequality theoremCan sides of 14, 8 and 21 make a triangle?Decide whether three lengths can form a triangle, and find the possible lengths of a third side from the other two.Triangle congruence (SSS, SAS, ASA, AAS, HL)HSG.SRT.B.5AB = DE, angle B = angle E, BC = EFMatch given pairs of equal sides and angles to the SSS, SAS, ASA, AAS and HL congruence rules, and spot SSA and AAA, which prove nothing.Triangle midsegment theoremHSG.CO.C.10Find x.ABCDE12xUse the midsegment theorem: a segment joining the midpoints of two sides is parallel to the third side and half as long.
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