# geometry

posted by .

given: segment AB is paralell to segment DC; segment AB is congruent to segment to DC
prove: triangle ABC is congruent to triangle CDA
statements:
1. segment AB is congruent to segment DC
2.segment AC is congruent to segment AC
3.segment AB is paralell to segment DC
4.angle BAC is congruent to angle DCA
5.triangle ABC is congruent to triangle CDA

(i need to find the reasons)???

reasons:
1.?
2.?
3.?
4.?
5.?

• geometry -

It is hard to provide geometry assistance without a figure to work with. Your problem seems to be representable by a parallelogram ABCD, where AC is a diagonal. The angle BAC is the same as the angle ACD, because they are formed by a line intersecting parallel lines AB and CD. (There is a theroem about that). That means triangles ABC and ACD have two pairs of sides (AB/CD and the common side AC)with an included angle congruent. That makes the triangles congruent. (Side-Angle-Side theorem).

## Similar Questions

1. ### Geometry-properties of tangents of a circle

Circle L has segment LJ and segment LK as radii. Those 2 segments are perpendicular. Segment KM and segment JM are tangent to circle L. Is triangle JLM congruent to triangle KLM?
2. ### Geometry

Yes, I'm this desperate. I just have problems with coming up with the statements for two column proofs. Answers would be appreciated. Given: line segment AX congruent to line segment DX, line segment XB is congruent to XC. Prove: Line …
3. ### Geometry

Given: A(3,-1), B(5,2), C(-2,0), P(-3,4), Q(-5,-3), R(-6,2). Prove: angles ABC and RPQ are congruent by completing the paragraph proof. AB=RP=13, BC=(?
4. ### Geometry

Given: A(3,-1), B(5,2), C(-2,0), P(-3,4), Q(-5,-3), R(-6,2). Prove: angles ABC and RPQ are congruent by completing the paragraph proof. AB=RP=13, BC=(?
5. ### Geometry

Given: A(3,-1), B(5,2), C(-2,0), P(-3,4), Q(-5,-3), R(-6,2). Prove: angles ABC and RPQ are congruent by completing the paragraph proof. AB=RP=13, BC=(?
6. ### Geometry..

Given: A(3,-1), B(5,2), C(-2,0), P(-3,4), Q(-5,-3), R(-6,2). Prove: angles ABC and RPQ are congruent by completing the paragraph proof. AB=RP=13, BC=(?
7. ### Geometry

Given: segment AB is congruent to segment BC; angle 1 is congruent to angle 2 Prove: triangle ABC is congruent to triangle DEC
8. ### geometry

I need to figure out this proof, the figure is two triangles forming a rhombus. Given: segment BD is the angle bisector of triangle ABC and triangle ADC Prove: Triangle ABD is congruent to Triangle CBD So far I have segment BD is the …
9. ### Math

Given: Segment AB is congruent to Segment DE Prove: Segment AD is congruent to BE Note: (for the illustration) C is the midpoint of Segment AE, B is the midpoint of Segment AC and D is the midpoint of Segment CE.
10. ### geometry

given: segment HI congruent to segment GJ, segment HI parallel to segment GJ prove: triangle GJH congruent to triangle IHJ

More Similar Questions