Quadrilateral PQRS is rotates 90• clockwise about the origin to form quadrilateral P’Q’R’S’. What is the y-coordinate of point P
’?
1 answer:
Answer:
the y-ordinate of P' is 1
Step-by-step explanation:
(see attached)
Let's label the origin O.
we are told that quadrilateral PQRS is rotated 90 degrees clockwise (i.e to the left) and the center of rotation is the origin (0,0) which we now call "O".
What this results in is the new quadrilateral P'Q'R'S' (i have drawn this in the attached picture).
We can clearly see that point P (-1,-2), after undergoing a 90deg clockwise rotation will result in P' (2,1)
hence the y-ordinate of P' is 1
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Answer:
m∠UVW = 53°
Step-by-step explanation:
From the picture attached,
m(∠VTU) = (x - 2)°
m(∠TUV) = (2x + 11)°
m(∠UVW) = (6x - 15)°
Since, ∠UVW is the exterior angle of the ΔTUV,
By the triangle sum theorem,
m∠VTU + m(∠TUV) + m(∠UVW) = 180°
(x - 2)° + (2x + 11)° + (6x - 15)° = 180°
9x - 6 = 180
9x = 186
x =
x =
By the property of exterior angle of a triangle,
m(∠UVW) = m(∠VTU) + m(TUV)
= (x - 2) + (2x + 11)
= 3x - 9
Now by substituting the value of x,
(3x - 9)° =
= 62 - 9
= 53°
Therefore, m∠UVW = 53°
