Answer:
Step-by-step explanation:
Given:
AB ≅ DC and AC ≅ DB
To Prove:
ΔABC ≅ ΔDCB
Statements Reasons
1). AB ≅ DC and AC ≅ DB 1). Given
2). BC ≅ CB 2). Reflexive property
3). ΔABC ≅ ΔDCB 3). SSS property of congruence
Answer:
By the definition of midpoints, AX and CX are congruent. By the definition of segment bisectors, X is the midpoint of BD, and therefore BX and DX are congruent. Since angle AXD and CXB are vertical angles, they are congruent by the vertical angles theorem. By SAS, triangles AXD and CXB are congruent. By CPCTC, angles A and C are congruent. By converse of alternate interior angles theorem, AD is parallel to CB.
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Answer:
right triangle
Step-by-step explanation:
Segment P1-P2 is horizontal of length 2-(-4) = 6. Segment P2-P3 is vertical of length 1-(-3) = 4. The horizontal and vertical sides are perpendicular to each other, so it is a right triangle. The sides are of different lengths, so it is a scalene triangle (not isosceles).
Step-by-step explanation:
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