Help me answer this question plz

a

Step-by-step explanation:

The lengths of DF and HI

Step-by-step explanation:

SSS

This means Side Side Side

So to prove this triangle is similar we have to use only true information about the sides.

We can already cross off the second and last answer choices because they are talking about angles.

The first answer choice is about the sides but first we have to determine if its true or not.

Side DF is on the left opposite of angle G

HI is also on the left, opposite of angle I

We can assume those sides are the same but to really know we can check if the other sides match up

We know this constriction has a scale factor of: 1.66666667

If you divide 3.5 by our scale factor you get 2.1

If you divide 5 by our scale factor you get 3

This proves that DG and HJ and FG and IJ would be the matching constricted side

This means that DF and HI would be matching as well making the first answer choice correct.

I hope this helps, don't be afraid to reach out with any further questions! Have a nice day!

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.