Question
Name the postulate, if possible, that makes the triangles congruent.
- SAS
- ASA
- AAS
- Not possible
Hint:
When two angles and a non-included side of a triangle are equal to the corresponding angles and sides of another triangle, then the triangles are said to be congruent by AAS rule.
The correct answer is: AAS
Here by observing diagram,
∠CAD = ∠CAB (given by notations in the diagram)
∠ADC = ∠ABC (given by notations in the diagram)
CD = CB (given by notations in the diagram)
Here, two angles and a non-included side of a triangle are equal to the corresponding angles and sides of another triangle
So, triangles are congruent by AAS rule.
Related Questions to study
Name the postulate, if possible, that makes the triangles congruent.
Name the postulate, if possible, that makes the triangles congruent.
Name the postulate that makes the triangles congruent.
Name the postulate that makes the triangles congruent.
Name the postulate, if possible, that makes the triangles congruent.
Name the postulate, if possible, that makes the triangles congruent.
Reflective property of equality
Reflective property of equality
These triangles are congruent. If 
is 45° and 
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is
These triangles are congruent. If is 45° and is 55°, then the measure of is
These triangles are congruent. If 
is 48°, then the measure of 
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These two triangles are congruent. If is 40°, then the measure of is
Shapes that have the same shape and the same size are ________.
Shapes that have the same shape and the same size are ________.
Congruent angles have the same number of ______
Congruent angles have the same number of ______
Congruent sides have the same number of ______
Slash marks are used to denote congruent sides whereas arcs are used to denote congruent angles.
Congruent sides have the same number of ______
Slash marks are used to denote congruent sides whereas arcs are used to denote congruent angles.
The value of x is
You can also find the value of y by this method.
The value of x is
You can also find the value of y by this method.
The symbol of congruence is ________.
Congruent triangles are triangles having corresponding sides and angles to be equal. Congruence is denoted by the symbol 
.
The symbol of congruence is ________.
Congruent triangles are triangles having corresponding sides and angles to be equal. Congruence is denoted by the symbol .
Congruent triangles are triangles that have same size and shape. This suggests us that the corresponding sides are equal and corresponding angles are equal.
Congruent triangles are triangles that have same size and shape. This suggests us that the corresponding sides are equal and corresponding angles are equal.
________.
Congruent triangles are triangles that have same size and shape. This suggests us that the corresponding sides are equal and corresponding angles are equal.
________.
Congruent triangles are triangles that have same size and shape. This suggests us that the corresponding sides are equal and corresponding angles are equal.
________.
Congruent triangles are triangles that have same size and shape. This suggests us that the corresponding sides are equal and corresponding angles are equal.
________.
Congruent triangles are triangles that have same size and shape. This suggests us that the corresponding sides are equal and corresponding angles are equal.
