Question

Under which of the following transformations is ΔCAB the image of ΔQPR?
http://assets.openstudy.com/updates/attachments/51a55cede4b0aa1ad888393f-lana.831-1369791752161-geom_21s_fig06.jpg

Answer 1

a. reflection over the x-axis
b. rotation over the y-axis and ℓ1
c. reflection over the y-axis
d. rotation over the x-axis and ℓ1

Answer 2

The best way to see it is to cut up the triangles and see if you can get the image by rotation or reflection. If it is a rotation, you will find the angle easily. If it is a reflection, you will see about which line/axis the reflection is performed.

Alternatively, you can compare the coordinates of the point CAB which are transformed to QPR, i.e. C->Q, A->P, B->R, and figure out the transformation by equations, e.g..
reflection about the x-axis, (x,y) -> (x,-y)
reflection about the y-axis, (x,y) -> (-x, y)
reflection about the line y=x, (x,y) -> (y, x)
rotation about the origin by 90 degrees, (x,y) -> (-y, x)
rotation about the origin by 180 degrees (x,y) -> (-x, -y)
etc.

Answer 3

the original image would be QPR or would it be CAB ? confused by the wording a little

Answer 4

According to the question, CAB is the image of QPR.

Answer 5

thats what i thought also

Answer 6

Good!

Answer 7

hm.. not too sure about this one , none seems right to me

Answer 8

nvm i got it been looking at the wrong point ... wow

Answer 9

but thanks for trying to help

Answer 10

yw!