geometry

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.?

  1. 👍
  2. 👎
  3. 👁
  1. 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).

    1. 👍
    2. 👎
  2. What is the theorem used

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. physics

    A bus makes a trip according to the position-time graph shown in the drawing. What is the average velocity (magnitude and direction) of the bus during (a) segment A, (b) segment B, and (c) segment C? Express your answers in km/h

  2. Geometry

    Which of the following must be true about a perpendicular bisector and the segment it bisects? a. the perpendicular bisector and the segment bisect each other b. the angle of intersection depends on the length of the line segment

  3. Math: Please help

    Which of the following must be true about a the bisectors of a segment in a plane? A. Every segment has exactly one bisector. B. Every segment has exactly two bisectors.****** C. Every segment has 10 bisectors. D. Every segment

  4. Geometry

    Please write a paragraph proof for this statement. Point Y is the midpoint of segment XZ. Z is the midpoint of segment YW. PRove that segment or line XY is congruent to segment or line ZW.

  1. geometry

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

  2. Geometry

    Janet is designing a frame for a client. She wants to prove to her client that m∠AGE ≅ m∠CHE in her sketch. What is the missing justification in the proof? Segment AB is parallel to segment CD, and transversal EF intersects

  3. Math

    1.Which of the following is true about the bisectors of a segment in a plane? A) Every segment has exactly one bisector. B) Every segment has exactly two bisectors. C) Every segment has 10 bisectors. D) Every segment has

  4. Mathematics

    The segment shown is half of AB, where B (-5,1) is one endpoint of the segment and M (-3,3) is the midpoint of the segment. What are the coordinates of point A

  1. Geometry please help!

    Which of these is a step in constructing an inscribed square using technology? Construct segment DB, segment CE, segment EG, segment GI, and segment ID. Draw segments BR, RS, and SB Identify the points of intersection between

  2. math

    A line segment has an endpoint at (3,2). If the midpoint of the line segment is (6.-2), what are the coordinates of the point at the other end of the line segment?

  3. math geometry

    7. You want to construct a segment XY-segment congruent to segment AB-segment. The first step is Put the point of your compass on point A. Measure the length of AB-segment. Construct a ray with endpoint X. none of these.

  4. Math

    In ΔCAB, point E is the midpoint of segment AC and point D is the midpoint of segment BC. If the measure of segment AB is 8 units, what is the measure of segment segment ED? triangle CAB, point E is on segment AC between points A

You can view more similar questions or ask a new question.