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Answers:

Explanation:

Line A is vertical and it goes through -5 on the x axis. Every point on this vertical line has the same x coordinate. Since all x coordinates are -5, but y can vary, this means the equation of this vertical line is x = -5.

Line B is a similar story, but now x = 1 is the equation for line B. Two points on line B are (1,2) and (1,5); both of which have x coordinate of 1.

In general, the equation of any vertical line is always of the form x = k, where k is some real number.

For horizontal lines, the general form is y = k, for some real number k.

Line C has the equation y = 3 because two points like (0,3) and (1,3) are on this horizontal line. We can think of y = 3 as y = 0x+3, showing this horizontal line (and any horizontal line) has the slope 0. The slope of any vertical line is undefined.

The equation for line D is y = -2. We can write that as y = 0x-2, but it's easier to stick with y = -2. All points on line D have the same y coordinate -2.

To summarize:

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.