Geometry

ABCD is a rhombus. Explain why triangle ABC is congruent to triangle CDA.

  1. 👍 1
  2. 👎 0
  3. 👁 5,169
  1. rhombas has equal angles opposite, opposite sides equal. Here, you have three sides on each triangle equal to the correspondng angle

    1. 👍 3
    2. 👎 1
    👨‍🏫
    bobpursley
  2. thanks so much!!! :)

    1. 👍 1
    2. 👎 0
  3. In the rhombus all the 4 sides are equal.
    ABC is congruent to CDA beacuse..
    AD=BC
    DC=AB
    AC=AC
    therefore all three side from each trinagle are the same and they are congruent according to SSS

    1. 👍 17
    2. 👎 0
  4. oops sorry didn't see u anwered it .. just pretend like it never happened ...

    1. 👍 5
    2. 👎 0
  5. efefwfefew

    1. 👍 1
    2. 👎 1
  6. yes correct amy

    1. 👍 4
    2. 👎 0
  7. They can be congruent from SSS, AAS, SAS, or ASA. SSS because all the sides are congruent and there is a shared side. AAS because opposite angles are congruent, alternate interior angles, and the shared part is a nonincluded side. SAS because all outer sides are congruent and opposite angles are congruent. ASA because alternate interior angles and the included shared side.

    1. 👍 2
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. 8th Grade Pre-Algebra

    Triangle PQR is transformed to triangle P'Q'R'. Triangle PQR has vertices P(3, −6), Q(0, 9), and R(−3, 0). Triangle P'Q'R' has vertices P'(1, −2), Q'(0, 3), and R'(−1, 0). Plot triangles PQR and P'Q'R' on your own

  2. Math

    1. Name a pair of complementary angles. (1 point) 1 and 4 1 and 6 3 and 4 4 and 5 2. If m1=37°, what is m4? (1 point) 53° 43° 37° 27° 3. If m1 = 40°, what is m5? (1 point) 50° 40° 35° 25° Use the figure to answer

  3. Geometry

    Let ABC be any triangle. Equilateral triangles BCX, ACY, and BAZ are constructed such that none of these triangles overlaps triangle ABC. a) Draw a triangle ABC and then sketch the remainder of the figure. It will help if

  4. Geometry

    Help! I'm so confused :( 1. Supply the missing reasons to complete the proof. Given: angle Q is congruent to angle T and line QR is congruent to line TR Prove: line PR is congruent to line SR Statement | Proof 1. angle Q is

  1. math

    Triangle ABC undergoes a series of transformations to result in triangle DEF. Is triangle DEF congruent to triangle ABC ? Is it Congruent or Not congruent? 1.)) Triangle ABC is translated 3 units up and 5 units right, and then

  2. Geometry

    Quadrilateral ABCD is a parallelogram. If adjacent angles are congruent, which statement must be true? A. Quadrilateral ABCD is a square. B. Quadrilateral ABCD is a rhombus. C. Quadrilateral ABCD is a rectangle. D. Quadrilateral

  3. Math

    1. Based on the given information, what can you conclude, and why? Given: m angle P= m angle T ; PR=TR. A) Triangle QRP is congruent to Triangle TRS by SAS. B) Triangle QRP is congruent to Triangle SRT by SSS. C) Triangle QRP is

  4. math

    Triangle PQR is transformed to triangle P'Q'R'. Triangle PQR has vertices P(3, −6), Q(0, 9), and R(−3, 0). Triangle P'Q'R' has vertices P'(1, −2), Q'(0, 3), and R'(−1, 0). Plot triangles PQR and P'Q'R' on your own

  1. Precalculus

    In most geometry courses, we learn that there's no such thing as "SSA Congruence". That is, if we have triangles ABC and DEF such that AB = DE, BC = EF, and angle A = angle D, then we cannot deduce that ABC and DEF are congruent.

  2. Math

    Given triangle ABC is congruent to triangle PQR, triangle PQR is congruent tp triangle XYZ, prove that triangle ABC is congruent to triangle XYZ

  3. Geometry

    1. In an isosceles triangle that is not equilateral the angle between the congruent sides is called a ____ A> Leg B> Vertex C> Base D> Corollary

  4. Centroids and Triangles - determining perimeter?

    Let G denote the centroid of triangle ABC. If triangle ABG is equilateral with side length 2, then determine the perimeter of triangle ABC. I drew the diagram, but it doesn't really help....

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