a.) The orientation of ABCD is clockwise, as is the orientation of A'B'C'D'. This means the transformation involves a even number of reflections (may be 0). The orientation of AB is North, and the orientation of A'B' is West, so a rotation of 90° CCW (or equivalent) is involved. We can find the point of intersection of the perpendicular bisectors of AA' and BB' (at (-1, -1)) to determine a suitable center of rotation.
ABCD can be transformed to A'B'C'D' by ...
- rotation 90° CCW about the point (-1, -1)
b.) Rotation by 90° can also be accomplished by reflection across a diagonal line. Since we want the orientation to remain unchanged, we need another reflection to put the figure into its final position. A suitable alternate sequence for mapping ABCD to A'B'C'D' is ...
- reflection across the line y=x
- reflection across the line x=-1
Answer:
13=k
Step-by-step explanation:
You find the constant of poportionality by this formula:
k=y/x
So, therefore:
(Constant)=195/15
k=13
Have a great day!
Angle 4 is the same as angle 6, 75 degrees, there are alternate interior angles.
Answer:
Sum of all three angles =170
∘-180
Step-by-step explanation:
Solution
Correct option is
C
65
∘
,85
∘
,30
∘
Given set (A) 70
∘
,90
∘
,25
∘
Sum of all three angles =185
∘
>180
∘
This set cannot form a triangle
(B) 65
∘
,85
∘
,40
∘
Sum of all three angles =190
∘
>180
∘
This set cannot form a triangle
(C) 65,85
∘
,30
∘
Sum of all three angles =180
∘
This set can form a triangle
(D) 45
∘
,45
∘
,80
∘
Sum of all three angles =170
∘
<180
∘
This set cannot form a triangle
The answer is 75 because 180 is a full circle. so 180 minus 105 since it’s the opposite side which makes b 75