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Congruency Postulates

If two angles...

Question

If two angles have the same measure, they are congruent.

A

True

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B

False

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Solution

The correct option is A
True

For two angles to be congruent, they should coincide when superimposed. This is only possible if both the angles are equal. Hence, the given statement is true.

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Q. The inverse of " If two angles are congruent, then they have the same measure" is

Question 92

State whether the statement is True or False.

Two figures are congruent if they have the same shape.

Q. Which of the following statements are true and which are false;
(i) All squares are congruent.
(ii) If two squares have equal areas, they are congruent.
(iii) If two rectangles have equal area, they are congruent.
(iv) If two triangles are equal in area, they are congruent.

Q. State 'T' for true and 'F' for false.
1. To examine the congruency of plane figures, the superposition method is used.
2. If two line segments have different lengths, they are congruent.
3. The measure of two congruent angles is the same.
4. Object which are exact copies of one another are called plane objects.
5. If the corresponding angles of two triangles are equal, the triangles are said to be congruent.
1 2 3 4 5

Q. Converse of the statement"If two triangles are congruent, then they have the same measure".

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