The given figure is a parallelogram find the value of x and y
2 answers:
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Answer: The correct option for blank 1 is option B and the correct option for blank 2 is option C.
Explanation:
It is given that ∆ABC has vertices at A(12, 8), B(4, 8), and C(4, 14). ∆XYZ has vertices at X(6, 6), Y(4, 12), and Z(10, 14). ∆MNO has vertices at M(4, 16), N(4, 8), and O(-2, 8). ∆JKL has vertices at J(14, -2), K(12, 2), and L(20, 4).
Plot these vertices on a coordinate plane and draw the triangles as shown below figure.
Two triangles are congruent if the both triangle have same corresponding sides and same angles.
From the figure it is noticed that
By SAS rule ∆ABC and ∆MNO are congruent.
So, the correct option for blank 1 is B.
From the It is clearly noticed the when we rotate the triangle ∆ABC counterclockwise along point B, we get ∆MNO.
So, the correct option for blank 2 is C.
