Which of the following statements are true and which of them are false?
If the hypotenuse of a right triangle is equal to the hypotenuse of another right triangle then the triangles are congruent.
Answer
False.Solution:
Onlyhypotenuse and one right angle of the one are equal to the hypotenuse and one right angles of the other, the triangles are not necessarily congruent, one side except them, must be equal.
Which of the following statements are true and which of them are false?
If two angles and any side of a triangle are equal to the corresponding angles and the side of another triangle then the triangles are congruent.
Answer
True. Solution:
If two angles and one side of a triangle are equal to the corresponding two angles and one side of the other are equal they are congruent.
Which of the following statements are true and which of them are false?
If two triangles are congruent then their corresponding sides and their corresponding angles are congruent.
Answer
True.Solution:
It is the definition of congruency of two triangles.
Which of the following statements are true and which of them are false?
If the hypotenuse and an acute angle of a right triangle are equal to the hypotenuse and the corresponding acute angle of another right triangle then the triangles are congruent.
Which of the following statements are true and which of them are false?
If three angles of a triangle are equal to the corresponding angles of another triangle then the triangles are congruent.
Answer
False. Solution:
Only three angles of one are equal the three angles of is not necessarily that these must be congruent.
Which of the following statements are true and which of them are false?
If two sides and one angle of a triangle are equal to the corresponding two sides and angle of another triangle, the triangles are congruent.
Answer
False. Solution:
It is not necessarily that such triangles must be congruent.