TRAP ~ EZYD. Use the diagram on the right to find the scale factor of TRAP to EZYD
TP = 24
YZ = 42
RA = 24
YD = 42
PA = 40
ZE = 27
To find the scale factor of TRAP to EZYD, we need to compare the corresponding side lengths of the two similar triangles.
For triangle TRAP:
- TP = 24
- RA = 24
- PA = 40
For triangle EZYD:
- YD = 42
- ZE = 27
We can see that the corresponding sides are:
- TP to EY = 24 to 42
- RA to ZD = 24 to 42
- PA to ZE = 40 to 27
To find the scale factor, we can divide the length of one side of TRAP by the length of the corresponding side of EZYD:
- Scale factor = (TP/EY) = 24/42 = 4/7
Therefore, the scale factor of TRAP to EZYD is 4/7.