10 Questions
What is the condition for two triangles to be congruent according to the SAS rule?
Two sides and one angle included between them
If a point P lies on the perpendicular bisector of a line segment AB, what can be concluded?
P is equidistant from A and B
What is the condition for a point to be the mid-point of a line segment?
The point is equidistant from the ends of the line segment
What is the relationship between Δ PCA and Δ PCB in the given figure?
Δ PCA is congruent to Δ PCB
What is the conclusion that can be drawn about two triangles with two angles and one side included between them?
The two triangles are not congruent
What is the purpose of constructing two triangles with two angles and one side included between them?
To observe the importance of equal angles in the SAS rule
What is the result of cutting out two triangles and placing one on the other in the given figure?
The two triangles completely overlap
What is the relationship between the distances PA and PB in the given figure?
PA is equal to PB
What is the condition for a line to be the perpendicular bisector of a line segment?
The line passes through the mid-point of the line segment
What is the conclusion that can be drawn about two triangles with two sides and one angle not included between them?
The two triangles are not congruent
Solve a geometry problem involving a line segment and two points equidistant from its ends. Prove that the line joining the points is the perpendicular bisector of the line segment. Use congruent triangles to establish the proof.
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