MT 5 Geometry Flashcards

1
Q

What do the medians form where they intersect?

A

centroid

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2
Q

What do the altitudes form where they intersect?

A

orthocenter

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3
Q

What do the perpendicular bisectors form when they intersect?

A

circumcenter

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4
Q

What do the angle bisectors form where they intersect?

A

incenter

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5
Q

Which point of concurrency is equidistant from each vertex?

A

circumcenter

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6
Q

What forms a circumcenter?

A

perpendicular bisectors

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7
Q

Which point of concurrency is equidistant distant from each side of the triangle?

A

incenter

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8
Q

What forms an incenter?

A

angle bisectors

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9
Q

Which point of concurrency is two thirds the distance from each vertex to the midpoint of the opposite side?

A

centroid

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10
Q

What forms a centroid?

A

medians

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11
Q

How can you find the centroid algebraically?

A

Find the average of all the x values then the average of all the y values

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12
Q

What point of concurrency will you get by finding the average of both the y and the x values?

A

centroid

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13
Q

How can you tell by side lengths if a triangle can be formed?

A

The two smallest sides need to be greater than the largest one when they’re added together

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14
Q

Is it possible to make a triangle with side lengths of 20, 30, and 50?

A

NO

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15
Q

Is it possible to make a triangle with side lengths of 7, 8, and 30

A

NO

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16
Q

Is it possible to make a triangle with side lengths of 12, 14, and 16

A

YES

17
Q

Is it possible to make a triangle with side lengths of 20, 20, and 30

A

YES

18
Q

Is it possible to make a triangle with side lengths of 30, 30, and 25

A

YES

19
Q

Is it possible to make a triangle with side lengths of 2, 2, and 2

A

YES

20
Q

What do you need to do hinge theorem?

A

two congruent sides and the angle measure of the angle between them