Graph the image of the figure after a dilation with a scale factor of 1/3 centered at (1, −2) . use the polygon tool to graph the triangle by connecting all its vertices.

New image will have (2,1) , (-2,0) and (-2,-2) as new vertex.

Below is the graph.

Step-by-step explanation:

Given the triangle with points (4,7) , (-8,4) and (-8,-2) having dilation center at (1,-2) .

We have to dilate using a factor of 1/3 and graph the new image.

Let us find all the three points,

Formula,

New point = [old point - dilation center]* scale factor + dilation center

So,

For (4,7)

For (-8,4)

For (-8,-2)

Therefore these (2,1) , (-2,0) and (-2,-2) are the new vertices after dilation.

The new image will have coordinates (2,1) (-2,0) (-2,-2)

Step-by-step explanation: Graph those coordinates above and you should get a smaller image from the preimage.

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step-by-step explanation:

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.