34 points will give brainlist
1. a sequence of translations maps ∆abc to ∆a'b'c'. the vertices of ∆abc are a(-3,5),b(7,8), and c(4,-9). the coordinates of a' are (2,2). what are the coordinates for b' and c'? also, identify the translation rule used. (3 points)
2. point b is located at (-4,5). the midpoint of line segment bd is point c(-1,0). what are the coordinates for point d? (2 points)
3. complete the hierarchy for a set of polygons. (2 points) choose from: kite, parallelogram, rhombus, rectangle, square.
4. the two triangles can be shown to be similar by performing transformations. first, ∆abc is rotated 180° around point a. then ∆a'b'c' is dilated by a factor of k units with a center of dilation at point a. finally, ∆a''b''c'' is translated p units to the right and q units down to map onto ∆cde. (3 points) what are the values of k, p, and q?
5. line p has a slope of -3. line t is perpendicular to line p and passes through the point (9,2). what is the equation for line t? (3 points)
6. two lines that intersect in a plane that form four right angles would be (1 point) choose from: parallel lines, perpendicular lines, skew lines, or straight lines
7. the equation 8x-4y=5 is dilated by a scale factor of 8 centered at the origin. what is the new slope and y-intercept after dilation? (3 points)