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Gr 9 MATH: Ch 9.3 Simular and Congruent Triangles

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Gr 9 MATH: Ch 9.3 Simular and Congruent Triangles

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Questions and Answers

What is the property of the three angle bisectors of a triangle?

They intersect at three different points

They are parallel to each other

They do not intersect at all

They intersect at one point, equidistant from each side of the triangle (correct)

What is an exterior angle of a triangle?

An angle between two extended sides of the triangle

An angle between a side of the triangle and an extended adjacent side (correct)

An angle inside the triangle, between two sides

An angle between two interior angles of the triangle

What is the relationship between an exterior angle and its interior opposite angles?

The exterior angle is twice the sum of the interior opposite angles

The exterior angle is half of the sum of the interior opposite angles

The exterior angle is unrelated to the interior opposite angles

The exterior angle is equal to the sum of the interior opposite angles (correct)

What is the minimum condition for congruency in triangles?

One of the six possible conditions: SSS, AAA, SAA, SAS, SSA, or RHS Signup and view all the answers

Which condition for congruency can result in two different triangles?

SSA Signup and view all the answers

What is the definition of congruent triangles?

Triangles with the same shape and size Signup and view all the answers

What is the purpose of constructing congruent triangles?

To verify the congruency of two triangles Signup and view all the answers

How many interior angles does each exterior angle have?

One interior adjacent angle and two interior opposite angles Signup and view all the answers

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. Signup and view all the answers

Which of the following is a characteristic of interior angles in a triangle?

They are formed by two sides of the triangle. Signup and view all the answers

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. Signup and view all the answers

Which condition for congruency involves two sides and an angle that is not included?

SSA Signup and view all the answers

What is the purpose of constructing congruent triangles using the minimum conditions for congruency?

To verify the congruency of two triangles. Signup and view all the answers

Which of the following is not a characteristic of congruent triangles?

They have equal perimeters. Signup and view all the answers

What is the consequence of using the SSA condition for congruency?

It can result in two different triangles (one obtuse and one acute). Signup and view all the answers

Which of the following is a condition for congruency that involves a right angle?

RHS Signup and view all the answers