Which of the following shows the figure rotated 90 degrees counterclockwise around the origin and then reflected across the x axis?

First figure

Step-by-step explanation:

From given graph we can see that the point (3,0) and (3,1) lie on the given graph.

90 degree rotation counterclockwise around origin:The point (x,y) is rotated 90 degree counterclockwise about origin then the point changed by the rule

When the point (x,y) is reflected across x- axis then point is transformed   by the rule

Point (3,0) is rotates 90 degree counter clockwise about origin then the point will be (0,3) after rotation.

When the point (0,3) is reflected across x- axis then the point becomes

(0,-3).

The point (3,1) becomes (-1,3) after 90 degree counterclockwise rotation.

After reflection across x- axis, the point becomes (-1,-3)

(0,-3) and (-1,-3) lie in the firs figure.

Hence, it is true.

solution:

we have to construct

∠m nt ≅ ∠p qr

the steps to draw this construction are

step 1: use a compass to draw an arc from point q which intersects the side pq at point a and the side qr at point b.

step 2: draw a segment nt and use the same width of the compass to draw an arc from point n which intersects the segment nt at a point x.

step 3:

step 4: join points n and y using a straightedge.

step 3:

option (d).maintaining the same width of the compass as ab, draw an arc from point x such that it intersects the arc drawn from n in a point y.

to draw   congruent angles , 1. width of compasses while drawing two angles should be same i.e from point at which angle has to be drawn, 2.the distance between the two points where the compass intersects the two sides should be same while drawing any two congruent angles.

just sum

10 + 10 = 20