16 Questions
What is the property of the three angle bisectors of a triangle?
They intersect at one point, equidistant from each side of the triangle
What is an exterior angle of a triangle?
An angle between a side of the triangle and an extended adjacent side
What is the relationship between an exterior angle and its interior opposite angles?
The exterior angle is equal to the sum of the interior opposite angles
What is the minimum condition for congruency in triangles?
One of the six possible conditions: SSS, AAA, SAA, SAS, SSA, or RHS
Which condition for congruency can result in two different triangles?
SSA
What is the definition of congruent triangles?
Triangles with the same shape and size
What is the purpose of constructing congruent triangles?
To verify the congruency of two triangles
How many interior angles does each exterior angle have?
One interior adjacent angle and two interior opposite angles
What is the common characteristic shared by the point of intersection of the three angle bisectors of a triangle?
It is equidistant from each side of the triangle.
Which of the following is a characteristic of interior angles in a triangle?
They are formed by two sides of the triangle.
What is the relationship between the exterior angle of a triangle and its interior opposite angles?
The exterior angle is equal to the sum of the interior opposite angles.
Which condition for congruency involves two sides and an angle that is not included?
SSA
What is the purpose of constructing congruent triangles using the minimum conditions for congruency?
To verify the congruency of two triangles.
Which of the following is not a characteristic of congruent triangles?
They have equal perimeters.
What is the consequence of using the SSA condition for congruency?
It can result in two different triangles (one obtuse and one acute).
Which of the following is a condition for congruency that involves a right angle?
RHS
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