Which ofThe following statements is true
All similar figures are also congruent figues
It would help if you proofread your questions before you posted them.
You need to complete your post.
the posted statement is false
To determine if the statement "All similar figures are also congruent figures" is true or false, we need to examine the definitions of similar figures and congruent figures.
Similar figures: Two figures are considered similar if they have the same shape, but not necessarily the same size. In similar figures, corresponding angles are congruent, and corresponding sides are in proportion.
Congruent figures: Two figures are considered congruent if they have the same shape and size. In congruent figures, corresponding angles are congruent, and corresponding sides are equal in length.
Now, let's analyze the statement:
"All similar figures are also congruent figures."
This statement is FALSE. Not all similar figures are congruent. Similar figures could have different sizes, but as long as their angles are congruent and their sides are proportional, they are considered similar. Congruent figures, on the other hand, have both the same shape and the same size.
Therefore, it is important to remember that similarity does not imply congruence. Similar figures can be resized versions of each other, but congruent figures are exact matches in both shape and size.