Answer:
Dear Laura Ramirez
Answer to your query is provided below
1) option A is correct
2) option B is correct
Step-by-step explanation:
Explanation for the first question attached in image
Also note - The converse of the hinge theorem states that if two triangles have two congruent sides, then the triangle with the longer third side will have a larger angle opposite that third side.
The vertices of the image of dilation are (4, 2), (-1, 2) and (3, 4)
<h3>How to graph the dilated image?</h3>The given parameters are:
Center, (a, b) = (-3, 0)
Scale factor, k = 1/2
The vertices of the figure are
(5,4), (-5, 4) and (3,8)
The rule of dilation is represented as:
(x, y) ⇒ (k(x -a), k(y -b))
So, we have:
Point (5,4)
(x, y) ⇒ (1/2(5 + 3), 1/2(4 -0))
(x, y) ⇒ (4, 2)
Point (-5,4)
(x, y) ⇒ (1/2(-5 + 3), 1/2(4 -0))
(x, y) ⇒ (-1, 2)
Point (3,8)
(x, y) ⇒ (1/2(3 + 3), 1/2(8 -0))
(x, y) ⇒ (3, 4)
So, the vertices of the image of dilation are (4, 2), (-1, 2) and (3, 4)
See attachment for the image
Read more about dilation at:
#SPJ1
