Geometry need with proofs
in δabc shown below, segment de is parallel to segment ac:...
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Mathematics, 06.10.2019 06:40 ojbank4411
Geometry need with proofs
in δabc shown below, segment de is parallel to segment ac:
triangles abc and dbe where de is parallel to ac
the following two-column proof with missing statements and reasons proves that if a line parallel to one side of a triangle also intersects the other two sides, the line divides the sides proportionally:
statement reason
1. line segment de is parallel to line segment ac 1. given
2. line segment ab is a transversal that intersects two parallel lines. 2. conclusion from statement 1.
3. ∠bde ≅ ∠bac 3. corresponding angles postulate
4.? 4.?
5.? 5.?
6. bd over ba equals be over bc 6. converse of the side-side-side similarity theorem
which statement and reason accurately completes the proof?
4. δbde ~ δbac; side-angle-side (sas) similarity postulate
5. ∠b ≅ ∠b; reflexive property of equality
4. ∠b ≅ ∠b; reflexive property of equality
5. δbde ~ δbac; angle-angle (aa) similarity postulate
4. δbde ~ δbac; side-angle-side (sas) similarity postulate
5. ∠a ≅ ∠c; isosceles triangle theorem
4. ∠a ≅ ∠c; isosceles triangle theorem
5. δbde ~ δbac; angle-angle (aa) similarity postulate
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