Ben performed a transformation on trapezoid PQRS to create P'Q'R'S', as shown in the figure below: A four quadrant coordinate grid is drawn. Trapezoid PQRS with coordinates at P negative 6, negative 3. Q is at negative 4, negative 3. R is at negative 2, negative 5. S is at negative 7, negative 6. Trapezoid P prime Q prime R prime S prime with coordinates are drawn at P prime 3, negative 6. Q prime is at 3, negative 4. R prime is at 5, negative 2. S prime is at 6, negative 7. What transformation did Ben perform to create P'Q'R'S'? (5 points) a Rotation of 270° counterclockwise about the origin b Reflection across the line of symmetry of the figure c Reflection across the y-axis d Rotation of 90° counterclockwise about the origin

Rotation of 90° counterclockwise about the origin.

Got this question right on the quiz.

1/800 is the right answer

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.