Geometry Ch. 5 Test

1. What can you conclude from the diagram? (Select all that apply)

R is the midpoint of PQ

S is equidistant to points P and Q

is the altitude to

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2. What can you conclude from the diagram? (Select all that apply)

Is the mid segment triangle.

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3. What do you need to determine to find the equation of the perpendicular bisector of a segment? (Select all that apply)

Midpoint

Slope of the segment

Opposite reciprocal slope to the segment

Opposite vertex

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4. What is true about the centroid? (Select all that apply)

It is the point of concurrency of the medians.

It is one-thirds the distance from one side and two-thirds the distance to the opposite side.

It can lie inside, outside or on the triangle.

It is found using the average of the vertices.

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5. Select what you need to find to construct a median. (Select all that apply)

Opposite reciprocal slope of a line or segment

Opposite vertex

Midpoint of the segment or side

Opposite side

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6. What can you conclude from the diagram? (Select all that apply)

Point W is the incenter.

Point W is equidistant from each vertex.

Point W is the center of gravity.

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7. Select what you need to find to construct a perpendicular bisector. (Select all that apply)

Opposite reciprocal slope of a line or segment

Opposite vertex

Midpoint of the segment or side

Opposite side

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8. Select what you need to find to construct a altitude. (Select all that apply)

Opposite reciprocal slope of a line or segment

Opposite vertex

Midpoint of the segment or side

Opposite side

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9. Match each point of concurrency with the segments that define it.

Circumcenter

Incenter

Centroid

Orthocenter

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10. Match the following

Equidistant from each vertex.

Equidistant from each side.

Center of gravity.

Collinear with other points of concurrencies.

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