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Two polygons are similar then the corresponding angles must be?
congruent
Are congruent triangles similar?
Yes, similar triangles are congruent because in order to be congruent they must first be equal. Which in turn is the definition of a similar triangle. A triangle equal in angle measurements and/or side lengths. So, yes.
If two rectangles are similar then the corresponding sides are?
If two rectangles are similar, they have corresponding sides and corresponding angles. Corresponding sides must have the same ratio.
What is the relationship between corresponding angles of similar figures?
They must be the same.
If two triangles are congruent statements must be true?
It means they have the same size and shape, corresponding sides have the same length and corresponding angles are the same.
Two polygons are similar then the corresponding angles must be?
congruent
Are all pentagons similar?
No, similar pentagons (or any polygon for that matter) must have corresponding congruent angles and all sides must be proportional to its corresponding sides. For example, if a square with a triangle on it is a pentagon, then a regular pentagon would not be similar to it (because corresponding angles are not congruent).
Why do corresponding angles of similar figures have to be congruent?
Corresponding angles of similar figures are congruent because similarity in geometry implies that the shapes have the same shape but may differ in size. When two figures are similar, their corresponding sides are in proportion, which leads to their angles being equal. This relationship ensures that the angles maintain their measures regardless of the scale of the figures, thus confirming that corresponding angles must be congruent.
What are two parallegrams that are congruent?
They are simply two congruent parallelograms.
Are two rhombuses always-sometimes or never similar?
Sometimes. Remember, in order for two polygons to be similar, their angles must be congruent, and their corresponding sides must be proportional. In a rhombus, it is always possible for the angles to differ.
If two triangles have three pairs of congruent angles the the triangles are not guarenteed to be congruent?
If two triangles have three pairs of congruent angles, they are said to be similar but not necessarily congruent. Similar triangles have the same shape but can differ in size, meaning their corresponding sides are in proportion but not equal. For triangles to be congruent, both their angles and corresponding sides must be equal, which is not guaranteed if only angle congruence is established. Therefore, while angle congruence indicates similarity, it does not ensure congruence.
Are congruent triangles similar?
Yes, similar triangles are congruent because in order to be congruent they must first be equal. Which in turn is the definition of a similar triangle. A triangle equal in angle measurements and/or side lengths. So, yes.
Similar triangles must have congruent angles and congruent sides?
False dood
Is this statement true or falseTo prove triangles similar using the Side-Side-Side Similarity Theorem, you must first prove that corresponding angles are congruent?
false
If two rectangles are similar then the corresponding sides are?
If two rectangles are similar, they have corresponding sides and corresponding angles. Corresponding sides must have the same ratio.
What else would need to be congruent to show that abc def by aas?
Nothing else, the angle-angle-side is sufficient to show the triangles are congruent. With two corresponding angles are equal, the third angles in the triangles by definition (the sum of the three angles in a triangle is 180o) must be equal making the triangles similar. If a corresponding pair of sides are also equal, then the other two corresponding pairs of sides will be equal.
Are all quadrilaterals with 4 pairs of corresponding angles congruent?
Yes, all quadrilaterals with four pairs of corresponding angles that are congruent are indeed congruent to each other. This is because if two quadrilaterals have all corresponding angles equal, they must also have equal interior angles, leading to a consistent shape and size. Therefore, they can be transformed into one another through rotation, reflection, or translation, confirming their congruence.
