which of the following statements is true
1.all similar figures are also Congruent figures
2.all congruent figures are also similar figures
3.it is not possible for figures to be both similar and congruent
4. figures that are congruent cannot also be similar
I think it is 1.
Steve thanks for the so called "help" u didnt help at all
The correct statement is 2. All congruent figures are also similar figures.
To determine which statement is true, let's break down the concepts of similarity and congruence.
Similar figures: Two figures are similar if they have the same shape but can be different sizes. The corresponding angles of similar figures are equal, and the corresponding sides are proportional.
Congruent figures: Two figures are congruent if they have the same shape and size. Congruent figures have equal corresponding angles and equal corresponding sides.
Now let's evaluate each statement:
1. "All similar figures are also congruent figures": This statement is not true. Similar figures can be different sizes, while congruent figures are always the same size. Therefore, not all similar figures are congruent.
2. "All congruent figures are also similar figures": This statement is true. Congruent figures have the same shape and size, so they are also similar. Since congruent figures have equal corresponding angles and sides, this means their proportions are always equal.
3. "It is not possible for figures to be both similar and congruent": This statement is not true. Figures can be both similar and congruent. This occurs when the figures have the same shape and size, making them both similar and congruent.
4. "Figures that are congruent cannot also be similar": This statement is not true. Congruent figures are always similar because they have the same shape. However, similar figures are not necessarily the same size, so not all similar figures are congruent.
Therefore, the correct answer is statement 2: "All congruent figures are also similar figures."
#1 is not true
a small square is similar to a large square, but not congruent.
so, now what do you think?