Answer:
Step-by-step explanation:
Vertex A of the triangle ABC when rotated by 90° counterclockwise about the origin,
Rule to be followed,
A(x, y) → P(-y, x)
Therefore, A(1, 1) → P(-1, 1)
Similarly, B(3, 2) → Q(-2, 3)
C(2, 5) → R(-5, 2)
Triangle given in second quadrant will be the triangle PQR.
If the point P of triangle PQR is reflected across a line y = x,
Rule to be followed,
P(x, y) → X(y, x)
P(-1, 1) → X(1, -1)
Similarly, Q(-2, 3) → Y(3, -2)
R(-5, 2) → Z(2, -5)
Therefore, triangle given in fourth quadrant is triangle XYZ.
1/3 of a lap per 1 minute, 3 minutes per lap
Answer:
The coordinates of the fourth vertex is ( 2.1 , -3.6)
Step-by-step explanation:
Given:
The vertices are ( -2.3 and −3.6), (−2.3, and 2.2), and (2.1, and 2.2).
To Find :
The fourth coordinate = ?
Solution:
Let (a,b) be the missing coordinates
Now let us use the the mid point formula and find the missing coordinate.
Let ( -2.3 ,−3.6) be the point A
Let (−2.3,2.2) be the point B
Let (2.1, 2.2) be the point C
The mid point of AC should be BD
Step 1: Finding The mid pint of AC
The mid pint of AC
Step 2: Lets Equate the midpoints'
The mid pint of BD
=>
= (-0.1, -0.7)
a = 2.1
b = -3.6
Answer:
D.) Quadrant 4
Step-by-step explanation:
Sin theta < 0 tells us the angle is in quadrant 3 or 4
The y component is negative
Cos theta >0 tells us the angle is in quadrant 1 or 4
The x component is positive
Therefore theta must be in quadrant 4
