Parallelogram T M J U is similar toparallelogram H P S C and the ratio of line segment U T to line segment C H is two to five. Which of the following is not true? angle M to angle P is one to one line segment M J to line segment P S is two to five line segment P H to line segment M T is five to two angle U to angle C is two to five
Similar polygons have corresponding angles congruent (so the corresponding angles are in a 1:1 ratio). Similar polygons have corresponding sides that are proportional. So, if UT/CH = 2/5, then the other 3 pairs of corresponding sides are also in the ratio 2:5.
@V1r3z From the definition of similar polygons, do you see which option is false?
angle M to angle P is one to one? @Directrix
>> angle M to angle P is one to one is true. Similar polygons have corresponding angles congruent (so the corresponding angles are in a 1:1 ratio).
Try again.
line segment P H to line segment M T is five to two @Directrix
Nope, that is not it. MT is to PH as 2/5 so inverting; PH is to MT as 5 is to 2. Try again.
line segment P H to line segment M T is five to two
Nope. The ANGLES have to be congruent so they are in a one to one ratio. Look at the options. Do you see any angles listed that are not in a one to one ratio? @V1r3z
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