Special Segments & Points of Concurrency

Last updated 3 months ago

14 questions

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G.9-12.5.A

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G.9-12.5.A

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G.9-12.5.A

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G.9-12.5.A

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G.9-12.5.A

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G.9-12.5.A

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G.9-12.5.A

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G.9-12.5.A

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G.9-12.5.A

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G.9-12.5.A

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G.9-12.6.D

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G.9-12.6.A

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G.9-12.6.A

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G.9-12.6.A

A(n) ? is shown in the triangle.

A perpendicular bisector

B angle bisector

C median

D all of these

A(n) ? is shown in the triangle.

A perpendicular bisector

B angle bisector

C median

D altitude

The point at which the medians of a triangle intersect is the ?

A incenter

B circumcenter

C orthocenter

D centroid

The point at which the lines containing the altitudes of a triangle intersect is ?

A incenter

B circumcenter

C orthocenter

D centroid

The point at which the perpendicular bisectors of a triangle intersect is the ?

A incenter

B circumcenter

C orthocenter

D centroid

The point at which the angle bisectors of a triangle intersect is the ?

A incenter

B circumcenter

C orthocenter

D centroid

The point which is equidistant from the vertices of the triangle is the ?

A incenter

B circumcenter

C orthocenter

D centroid

In the figures below, the median is drawn in each triangle. Which statement(s) are true?
i. In an isosceles triangle, a median can be an angle bisector.
ii. In an isosceles triangle, a median can be a perpendicular bisector.
iii. In every triangle, a median is a perpendicular bisector.

A i and ii only

B ii and iii only

C All three are true

D Only iii is true

In triangle ABC, if an altitude is drawn from vertex C to intersect segment AB at X, which of the following conjectures cannot be made?

A segment AB is perpendicular to segment CX.

B angle CXB is a right angle.

C triangle AXC is a right triangle.

D segment AX is congruent to segment BX.

If segment WV is perpendicular to segment XV and m<UWV = m<UXV, which of the following statements is not true?

A The construction is a perpendicular bisector of a triangle. 

B Triangle VXW is a right triangle. 

C Triangle UXV is an isosceles triangle.  

D Angle TUX is supplementary to XUV angle. 

E m<XVU = 45

Based on the construction, which statement is not necessarily true?

A  The construction is an angle bisector of a triangle.  

B AR = AQ

C m<PAQ = m<PAR

D RB = QC

A(n)  ?  is shown in the triangle.

A perpendicular bisector

B angle bisector

C median

D altitude

E all of these

A(n)  ?  is shown in the triangle.

A perpendicular bisector

B angle bisector

C median

D altitude

E all of these

A(n)  ?  is shown in the triangle.

A perpendicular bisector

B angle bisector

C median

D altitude

E all of these

A(n)  ?  is shown in the triangle.
 

A perpendicular bisector

B angle bisector

C median

D all of these

A(n)  ?  is shown in the triangle.

A perpendicular bisector

B angle bisector

C median

D altitude

 The point at which the medians of a triangle intersect is the ?   

A incenter

B circumcenter

C orthocenter

D centroid

The point at which the lines containing the altitudes of a triangle intersect is ?  

A incenter

B circumcenter

C orthocenter

D centroid

The point at which the perpendicular bisectors of a triangle intersect is the ?  

A incenter

B circumcenter

C orthocenter

D centroid

The point at which the angle bisectors of a triangle intersect is the ?  

A incenter

B circumcenter

C orthocenter

D centroid

The point which is equidistant from the vertices of the triangle is the ?  

A incenter

B circumcenter

C orthocenter

D centroid

In the figures below, the median is drawn in each triangle. Which statement(s) are true?
i. In an isosceles triangle, a median can be an angle bisector.
ii. In an isosceles triangle, a median can be a perpendicular bisector.
iii. In every triangle, a median is a perpendicular bisector.  

A i and ii only

B ii and iii only

C All three are true

D Only iii is true

In triangle ABC, if an altitude is drawn from vertex C to intersect segment AB at X, which of the following conjectures cannot be made?

A segment AB is perpendicular to segment CX.

B angle CXB is a right angle.

C triangle AXC is a right triangle.

D segment AX is congruent to segment BX.

If segment WV is perpendicular to segment XV and m<UWV = m<UXV, which of the following statements is not true?

A The construction is a perpendicular bisector of a triangle. 

B Triangle VXW is a right triangle. 

C Triangle UXV is an isosceles triangle.  

D Angle TUX is supplementary to XUV angle. 

E m<XVU = 45

Based on the construction, which statement is not necessarily true?

A  The construction is an angle bisector of a triangle.  

B AR = AQ

C m<PAQ = m<PAR

D RB = QC

Special Segments & Points of Concurrency

Special Segments & Points of Concurrency

A(n) ? is shown in the triangle.

A(n) ? is shown in the triangle.

A(n) ? is shown in the triangle.

A(n) ? is shown in the triangle.

A(n) ? is shown in the triangle.

The point at which the medians of a triangle intersect is the ?

The point at which the lines containing the altitudes of a triangle intersect is ?

The point at which the perpendicular bisectors of a triangle intersect is the ?

The point at which the angle bisectors of a triangle intersect is the ?

The point which is equidistant from the vertices of the triangle is the ?

In the figures below, the median is drawn in each triangle. Which statement(s) are true?i. In an isosceles triangle, a median can be an angle bisector.ii. In an isosceles triangle, a median can be a perpendicular bisector.iii. In every triangle, a median is a perpendicular bisector.

In triangle ABC, if an altitude is drawn from vertex C to intersect segment AB at X, which of the following conjectures cannot be made?

If segment WV is perpendicular to segment XV and m<UWV = m<UXV, which of the following statements is not true?

Based on the construction, which statement is not necessarily true?

In the figures below, the median is drawn in each triangle. Which statement(s) are true?
i. In an isosceles triangle, a median can be an angle bisector.
ii. In an isosceles triangle, a median can be a perpendicular bisector.
iii. In every triangle, a median is a perpendicular bisector.