Answer:
R''(2, 1), S''(-1, 7), T''(2, 7)
Step-by-step explanation:
Rotation 90° CCW is accomplished by the transformation ...
(x, y) ⇒ (-y, x)
Translation 3 left and 8 up is accomplished by the transformation ...
(x, y) ⇒ (x -3, y +8)
Together, the two transformations give ...
(x, y) ⇒ (-y -3, x +8)
So your transformed points are ...
R(-7, -5) ⇒ R''(-(-5)-3, -7+8) = R''(2, 1)
S(-1, -2) ⇒ S''(-(-2)-3), -1+8) = S''(-1, 7)
T(-1, -5) ⇒ T''(-(-5)-3, -1+8) = T''(2, 7)
9514 1404 393
Answer:
a) The new triangle is a reflection of the original across the origin. All angles, segment lengths, and line slopes have been preserved: the transformed triangle is congruent with the original.
b) The new triangle is a reflection of the original across the origin and a dilation by a factor of 2. Angles have been preserved: the transformed triangle is similar to the original. The transformation is NOT rigid.
Step-by-step explanation:
1. The transformed triangle is blue in the attachment. It is congruent with the original. The transformation is "rigid," a reflection across the origin. All angles and lengths have been preserved, as well as line slopes.
__
2. The transformed triangle is orange in the attachment. It is similar to the original, in that angles have been preserved and lengths are proportional. It is a reflection across the origin and a dilation by a factor of 2. Line slopes have also been preserved. A dilation is NOT a "rigid" transformation.
Answer:
ft76d956
Step-by-step explanation:
First you must set f (x) =15:
15 = 2x - 5
Now you must solve like a normal equation:
15 = 2x - 5 )+5
20 = 2*x ):2
10 = x
ANSWER: The value of x is 10