Draw a Right Triangle

Part 1

Using graph paper draw a right triangle given the following coordinates.

A(1,7) B(1,-1) C(7,-1)

(i got the triangle from this)

Part 2

Now, on the same graph paper using the same axes, translate (slide) the triangle 5 spaces along the x-axis (to the right) and 9 spaces along the y-axis (down) and name this new triangle XYZ.

State the new coordinates of the triangle.
X(6,-2)
Y(6, -10)
Z(12, -10)

(I got the triangle from this)

(what do I do for the next two parts of this assignment?)

Identify the 6 congruent parts between triangle ABC and triangle XYZ.
Using the distance formula verify that the corresponding sides are congruent.
o (i.e. verify that AB = XY, AC = XZ, and BC = YZ).

1 answer

the three angles and the three sides are congruent.

Now for example check length of AB against XY
AB = sqrt[(1-1)^2 + (-1-7)^2 ]
= sqrt (-8^2) = 8
XY = sqrt[(6-6)^2 + (-10+2)^2 ]
= sqrt (-8^2) = 8 sure enough