How do you determine if two figures are similar

if objects are similar, they are just that; similar

Step-by-step explanation: when 2 objects are similar it means that they are the same shape, but not necessarily the same size. For example, a rubix cube is a cube, and so is a box that has been delivered by FedEx, but that does not mean that they are the same size. However, they are the same shape. So when 2 objects are similar, then they have the same shape, but not the same size.

a reflection across the x-axis , followed by the by a reflection across the y-axis , and then a scale dilation of 0.5 .

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.