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
your dope amy. much love <3
Thank you Geometry B for the help, writing out everything was very nice🙏, have a great day everyone
Agreed, thank you <3
Geometry B Unit 2 Lesson 6: Trapezoids and Kites Quiz Connexus
----------------------------------------------------------------------------------------------------
1. A-rectangle; square; quadrilateral; parallelogram; rhombus
2. C-All rectangles are quadrilaterals.
3. B-Arrange four equal-length sides, so the diagonals are equal lengths also.
4. A-151 degrees
5. A-93
6. D-5.5
7. B-144 degrees
8. D-85.5
9. Essay- (NOTE!!!! Write this in your own words so you will not get any trouble from the "teachers" ;D )
Essay Answer-Rhombuses have 4 sides are all equal. So, ABC is congruent to CDA because AD is = to BC, along with DC being = to AB, and AC being = to AC.
So all three side from each triangle are the same and they are congruent according to the SSS (Side-Side-Side).
Thanks yah!