Question

22 . The figure is reflected across line m and then reflected across line n. What is the resulting transformation?

Answer 1

Answer:

22) (B)

24) (D)

25) (D)

28) (B)

29) (D)                

Step-by-step explanation:

22) Firstly, the figure is reflected across line m and then the figure is reflected across line n.

The resultant figure is a rotated figure of original figure

(B)  Rotation

24) Since there are 12 people sitting in a circle

Total circular angle = 360°

Angle between two people = 360/12 = 30°

Therefore, from Abbey to Kai there are 2 people between them. Hence, angle covered = 60°

From Kai to Haifa there are 3 people.

Angle covered = 90°

(D) is correct

25) Lacy passes the soup in 90° counterclockwise and then 30°.

Now soup is in front of Haifa.

(D) is correct

28)  

Coordinates are ((0,2) -----> (x-1,y-3) = (-1,-1)

(-7,3) -------------> (x-1,y-3) = (-8,0)

(03,-2) --------> (-4,-5)

(B) is correct

Reflection of P(0,0) across x= -3, gives the point( -6,0)

And reflection across y=4, gives the point (0,8)

Together the reflected point is P(-6,8).

(D) is correct

Answer 2

$22.\\Answer:B\\\\\\24.\\\alpha=360^o:12=30^o\\\\Abbey-Kai\to2\cdot30^o=60^o\\\\Kai-Haifa\to3\cdot30^o=90^o\\\\Answer:D$


$25.\\\alpha=360^o:12=30^o\\\\Lacy+90^o\to(90^o:30^o=3)\to Igor\\\\Igor+30^o\to(30^o:30^o=1)\to Haifa\\\\Answer:D$


$28.\\(x;\ y)\to(x-1;\ y-3)\\\\\vec{a}=[-1;-3]\\\\A(-3;-2)\to A'(-3-1;-2-3)\to A'(-4;-5)\\\\B(0;\ 2)\to B'(0-1;\ 2-3)\to B'(-1;-1)\\\\C(-7;\ 3)\to C'(-7-1;\ 3-3)\to C'(-8;\ 0)\\\\Answer:B$


$29.\\P(0;\ 0)\\\\\Downarrow S_{x=-3}\\\\P'(-6;\ 0)\\\\\Downarrow S_{y=4}\\\\P''(-6;\ 8)\\\\Answer:D$