Two figures are congruent, if they have the same shape. State whether the statement is true or false.
Solution:
Given, two figures are congruent, if they have the same shape.
We have to determine if the given statement is true or false.
Congruent figures have the same corresponding side lengths and the corresponding angles are of equal measure.
Congruent segments are superimposable figures, which completely overlap when placed one over the other.
On turning, flipping, or rotating the congruent segments, they still remain to be congruent.
Congruent figures super impose each other completely.
If two figures have the same shape and the same size, then they are said to be congruent figures.
Therefore, two figures having same shape cannot be congruent.
✦ Try This: Two figures are congruent, if they have the same size. State whether the statement is true or false.
☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 6
NCERT Exemplar Class 7 Maths Chapter 6 Problem 92
Two figures are congruent, if they have the same shape. State whether the statement is true or false.
Summary:
The given statement,”Two figures are congruent, if they have the same shape” is false.
☛ Related Questions:
- If the areas of two squares is same, they are congruent. State whether the statement is true or fals . . . .
- If the areas of two rectangles are same, they are congruent. State whether the statement is true or . . . .
- If the areas of two circles are the same, they are congruent. State whether the statement is true or . . . .
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