Question
If, for ∆ ABC and ∆ DEF, the correspondence CAB and EDF gives a congruence, then false statement is
- AC= DE
- AB = EF
- ∠A = ∠D
- ∠C = ∠E
Hint:
The order in which vertices match automatically determines the correspondence between the sides and angles of the triangle. Corresponding parts are also called matching parts of triangles.
The correct answer is: AB = EF
Related Questions to study
If ∆ ABC and ∆ DBC are on the same base BC, AB = DC and AC= DB, then __________gives a congruence relationship.
If ∆ ABC and ∆ DBC are on the same base BC, AB = DC and AC= DB, then __________gives a congruence relationship.
If ∆ ABC ≅ ∆ PQR, then any ∠B correspond to
If ∆ ABC ≅ ∆ PQR, then any ∠B correspond to
The symbol of correspondence is
The double-sided arrow symbol is used to denote correspondence.
The symbol of correspondence is
The double-sided arrow symbol is used to denote correspondence.
In SAS congruency
In SAS congruence, triangles are congruent if any pair of corresponding sides and their included angles are equal in both triangles.
In SAS congruency
In SAS congruence, triangles are congruent if any pair of corresponding sides and their included angles are equal in both triangles.
In the given figure, if , then ___________.
In the given figure, if , then ___________.
Two sides and the included angle are congruent in __________ postulate.
SAS congruence is the term which is also known as Side Angle Side congruence. In this, triangles are congruent if any pair of corresponding sides and their included angles are equal in both triangles.
Two sides and the included angle are congruent in __________ postulate.
SAS congruence is the term which is also known as Side Angle Side congruence. In this, triangles are congruent if any pair of corresponding sides and their included angles are equal in both triangles.
Identify the postulate in the given figure.
Identify the postulate in the given figure.
If two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of a second triangle, then the two triangles are _________.
If two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of a second triangle, then the two triangles are _________.
Identify the type of postulate in the given diagram.
Identify the type of postulate in the given diagram.
In the given triangle ABC, AB = AC, then the angles are __________.
In the given triangle ABC, AB = AC, then the angles are __________.
If three sides of one triangle is congruent to another triangle, then they satisfy ___________ congruence.
If all three sides of one triangle are equal to the three equal sides of another triangle, the two triangles are congruent according to the same criterion.
If three sides of one triangle is congruent to another triangle, then they satisfy ___________ congruence.
If all three sides of one triangle are equal to the three equal sides of another triangle, the two triangles are congruent according to the same criterion.
If the hypotenuse and one leg of a right triangle are equal to another right triangle, then it is ________.
If the hypotenuse and one leg of a right triangle are equal to another right triangle, then it is ________.
If two angles and the included side of two triangles are equal, then it is __________ congruency.
ASA Congruence rule stands for Angle-Side-Angle. Under this rule, two triangles are said to be congruent if any two angles and the side included between them of one triangle are equal to the corresponding angles and the included side of the other triangle.
If two angles and the included side of two triangles are equal, then it is __________ congruency.
ASA Congruence rule stands for Angle-Side-Angle. Under this rule, two triangles are said to be congruent if any two angles and the side included between them of one triangle are equal to the corresponding angles and the included side of the other triangle.