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Similar search terms for Congruent:
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Are two figures composed of congruent parts congruent to each other?
Yes, two figures composed of congruent parts are congruent to each other. If all corresponding parts of two figures are congruent, then the figures themselves are congruent. This means that the two figures have the same shape and size, and can be superimposed on each other. Therefore, if the parts of two figures are congruent, then the figures themselves are also congruent.
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Is mirror image congruent?
Yes, a mirror image is congruent to the object it reflects. Congruence means that two shapes are identical in size and shape. When an object is reflected in a mirror, the image that is formed is the same size and shape as the original object, just flipped horizontally. Therefore, the mirror image is congruent to the original object.
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Is a rhombus congruent?
Yes, a rhombus is congruent. A rhombus is a type of quadrilateral with all four sides of equal length, and opposite angles are equal. This means that all four sides and angles of a rhombus are congruent to each other. Therefore, if you have two rhombuses with the same side lengths and angle measures, they are congruent to each other.
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Why are the triangles congruent?
The triangles are congruent because they have the same size and shape. This means that their corresponding sides and angles are equal. In this case, the given information about the sides and angles of the two triangles allows us to conclude that they are congruent using the Side-Angle-Side (SAS) congruence criterion. Therefore, the triangles are congruent.
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What does congruent 2 mean?
Congruent 2 means that two geometric figures have the same size and shape. In other words, if you were to place one figure on top of the other, they would completely overlap. This concept is often used in geometry to compare and analyze shapes and figures. When two figures are congruent, it means they are essentially identical in terms of their dimensions and angles.
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What are non-congruent triangles?
Non-congruent triangles are triangles that are not identical in size and shape. This means that their corresponding sides and angles are not equal. Non-congruent triangles can have different side lengths, different angles, or both. In other words, non-congruent triangles do not have the same measurements and cannot be superimposed onto each other.
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If two figures are composed of congruent parts, are they congruent to each other?
Yes, if two figures are composed of congruent parts, they are congruent to each other. This is because congruent parts have the same size and shape, so if all corresponding parts of two figures are congruent, then the figures themselves are congruent. In other words, if two figures have the same shape and size, they are congruent.
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What are congruent statements for quadrilaterals?
Congruent statements for quadrilaterals are statements that indicate that two quadrilaterals are identical in shape and size. This means that corresponding sides are equal in length and corresponding angles are equal in measure. For example, if two quadrilaterals have all sides and angles congruent, then they are congruent quadrilaterals. Congruent statements are important in geometry as they help determine when two shapes are identical.
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What is the meaning of congruent?
Congruent means that two shapes or objects are identical in shape and size. When two shapes are congruent, it means that they can be superimposed on each other, and all their corresponding sides and angles are equal. In other words, they have the same measurements and dimensions. Congruence is an important concept in geometry and is used to compare and analyze shapes and figures.
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How are the two triangles congruent?
The two triangles are congruent because they have the same three side lengths and the same three angle measures. This means that they have the same shape and size, and can be superimposed on each other by a series of rigid motions (translations, rotations, and reflections). Therefore, the two triangles are congruent by the Side-Angle-Side (SAS) congruence criterion.
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Are these triangles congruent and why?
Yes, the triangles are congruent because they have the same three side lengths and the same three angle measures. This means that all corresponding sides and angles are equal, which is the definition of congruent triangles. Therefore, we can conclude that the two triangles are congruent.
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Do congruent triangles have the same area?
Yes, congruent triangles have the same area. Congruent triangles are identical in shape and size, so their corresponding sides and angles are equal. This means that the base and height of the triangles are equal, resulting in the same area for both triangles. Therefore, if two triangles are congruent, they will have the same area.
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