Let ABC and DEF be two triangles in which AB = DE, BC = FD and CA = EF. The two triangles are congruent under the correspondence ABC ↔ ________ . Fill in the blanks to make the statement true
Solution:
Given, let ABC and DEF be two triangles in which AB = DE, BC = FD and CA = EF. The two triangles are congruent under the correspondence ABC ↔ ________
We have to fill in the blanks to make the statement true.
ABC and DEF are two triangles.
AB = DE, BC = FD and CA = EF implies that the sides are equal
Side-Side-Side congruence rule states that if three sides of one triangle are equal to three corresponding sides of another triangle, then the triangles are congruent.
Therefore, by SSS rule the triangles ABC and EDF are congruent.
✦ Try This: The sides of a triangle have lengths (in cm) 12, 9 and x, where x is a whole number. The minimum value that x can take is
☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 6
NCERT Exemplar Class 7 Maths Chapter 6 Sample Problem 9
Let ABC and DEF be two triangles in which AB = DE, BC = FD and CA = EF. The two triangles are congruent under the correspondence ABC ↔ ________ . Fill in the blanks to make the statement true
Summary:
Let ABC and DEF be two triangles in which AB = DE, BC = FD and CA = EF. The two triangles are congruent under the correspondence ABC ↔ EDF
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