Question
Name the postulate that makes the triangles congruent.
- SAS
- ASA
- AAS
- Not possible
Hint:
If any two angles and the side included between the angles of one triangle are equivalent to the corresponding two angles and side included between the angles of the second triangle, then the two triangles are said to be congruent by ASA rule.
The correct answer is: ASA
Here, by observing the diagram we get
∠AEB = ∠DEC (vertically opposite angles are equal)
EC = EA ( given by notation in the diagram )
∠A = ∠C = 90°
Here, two angles and the side included between the angles of one triangle are equivalent to the corresponding two angles and side included between the angles of the second triangle
By ASA rule, Both the triangles are congruent.
Related Questions to study
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 
is 55°, then the measure of 
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 
is
These triangles are congruent. If is 48°, then the measure of is
These two triangles are congruent. If is 40°, then the measure of is
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.
If 
, then we can conclude that 
________.
Congruent triangles are triangles that have same size and shape. This suggests us that the corresponding sides are equal and corresponding angles are equal.
If , then we can conclude that ________.
Congruent triangles are triangles that have same size and shape. This suggests us that the corresponding sides are equal and corresponding angles are equal.
If , then we can conclude that 
________.
Congruent triangles are triangles that have same size and shape. This suggests us that the corresponding sides are equal and corresponding angles are equal.
If , then we can conclude that ________.
Congruent triangles are triangles that have same size and shape. This suggests us that the corresponding sides are equal and corresponding angles are equal.
