Generate a visually appealing image of a geometrical representation. The image should focus on a rhombus (ABCD) with clear points labeled A, B, C, and D. In addition, two triangles ABC and CDA should also be highlighted distinctively for comparison, presented in a way which could stimulate thoughts on their congruency. Please make sure that the image contains no text.

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

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. Classify the figure in as many ways as possible

- A. rectangle; square; quadrilateral; parallelogram; rhombus
2. Which statement is true?
- C. All rectangles are quadrilaterals.
3. Lucinda wants to build a square sandbox, but she has no way measuring angles. Which of the following explains how she can make sure the sandbox is square by measuring only length.
- B. Arrange four equal-length sides, so the diagonals are equal lengths also.
4. J and M are base angles of isosceles trapezoid JKLM. If mJ=20x+9 and mM=14x+15, find mK.
- A. 151 degrees
5. In the Rhombus m1=18x, m2=x+ y, and m3=30z. Find the value of x+y+z. The diagram is not drawn to scale
- A. 93
6. In rectangle KLMN, KM=6x+16, and LN=49. Find the value of x.
- D. 5.5
7. Find the value of a. The diagram is not to scale.
- B. 144 degres
8. LM is the mid segment of trapezoid ABCD. If AB=46 and DC=125, what is LM?
- D. 85.5
9. Use Amy, she got it
- 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

LS: 6

UN: 2
1 a
2 c
3 b
4 a
5 a
6 d
7 b
8 d
9 essay, answered above (thanks amy)

rhombas has equal angles opposite, opposite sides equal. Here, you have three sides on each triangle equal to the correspondng angle

oops sorry didn't see u anwered it .. just pretend like it never happened ...

yes correct amy

I really thank those who wrote the answer so many years ago. It had saved us from death. Thanks.

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.

thanks so much!!! :)

just stopped by to say hi