ABCD is a rhombus. explain why ABC is congruent to CDA
2 answers:
Solution:
Given: ABCD is a Rhombus
To Prove: ΔABC≅ΔCDA
Construction: Join AC as diagonal.
Proof: ABCD is Rhombus whose sides are equal and diagonal are perpendicular bisectors. Please see attach figure.
In ΔABC and ΔCDA
AB=CD (Side of same Rhombus)
BC=DA (Side of same Rhombus)
AC=CA (Common Side of both triangle)
Therefore, ΔABC≅ΔCDA by SSS property of congruence.
Hence Proved, ΔABC≅ΔCDA
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Answer:
Right side towards positive x axis
Step-by-step explanation:
Let us see the basic rule to find the orientation of parabolas.
1. If power if x is 2 and y is 1 , the parabola opens up or down.
2. If the power of y is 2 and that of x is 1 , the parabola opens right or left.
3. If the coefficient of in case 1 is negative it opens downward
4. If the coefficient of in case 2 is negative , it opens left towards negative x axis.
Hence our equation is
here is satisfies the case 2. hence it opens right or left . Also the coefficient of
is positive so it opens up to the right side , that is towards positive x axis.