Quiz about Triangle Centers & Inequalities Quiz

Question 1

The ________________ is the intersection of the three medians in a triangle.

Accepted Answer

centroid

Answer

incenter

Answer

circumcenter

Answer

orthocenter

Question 2

The ________________ is the intersection of the three angle bisectors in a triangle.

Accepted Answer

incenter

Answer

circumcenter

Answer

orthoceter

Answer

centroid

Question 3

The ________________ is the intersection of the three altitudes in a triangle.

Accepted Answer

orthocenter

Answer

circumcenter

Answer

incenter

Answer

centroid

Question 4

The ________________ is the intersection of the three perpendicular bisectors in a triangle.

Accepted Answer

circumcenter

Answer

orthocenter

Answer

incenter

Answer

circumcenter

Question 5

The ________________ is equidistant from the vertices of a triangle.

Accepted Answer

circumcenter

Answer

incenter

Answer

circumcenter

Answer

orthocenter

Question 6

The ________________ is equidistant from the sides of a triangle.

Accepted Answer

incenter

Answer

circumcenter

Answer

orthocenter

Answer

centroid

Question 7

For the circumcenter you first need to find the ________________ of each side. Then use the ________________ to draw the line.

Accepted Answer

midpt, perpendicular slope

Answer

perpendicular bisector, midpt

Answer

median, perpendicular bisector

Answer

medican, perpendiuclar slope

Question 8

For the orthocenter use the ________________ and start at the ________________.

Accepted Answer

perpendicular slope; opposite vertex

Answer

perpendicular bisector; opposite vertex

Answer

angle bisector; midpoint

Answer

angle bisector; perpendicular bisector

Question 9

The ________________ is the line that connects the midpoints of 2 sides of a triangle.

Accepted Answer

midsegment

Answer

median

Answer

perpendicular bisector

Answer

altitude

Question 10

In the centroid, the shorter distance of the median has a ratio of ________________ of the entire median.

Accepted Answer

1/3

Answer

2/3

Answer

2/1

Answer

1/2

Question 11

Given the diagram, classify the bolded line.

Accepted Answer

altitude

Answer

perpendicular bisector

Answer

median

Answer

angle bisector

Question 12

Given the diagram, classify the blue line.

Accepted Answer

midsegment

Answer

altitude

Answer

median

Answer

midpoint

Question 13

Given the diagram, classify the bolded line.

Accepted Answer

perpendicular bisector

Answer

altitude

Answer

median

Answer

angle bisector

Question 14

Given the diagram, classify the bolded line.

Accepted Answer

median

Answer

perpendicular bisector

Answer

altitude

Answer

angle bisector

Question 15

Given the diagram, classify the bolded line.

Accepted Answer

angle bisector

Answer

perpendicular bisector

Answer

altitude

Answer

median

Question 16

Classify the diagram.

Accepted Answer

circumcenter

Answer

centroid

Answer

incenter

Answer

orthocenter

Question 17

Classify the diagram.

Accepted Answer

centroid

Answer

incenter

Answer

circumcenter

Answer

orthocenter

Question 18

Classify the diagram.

Accepted Answer

incenter

Answer

centroid

Answer

circumcenter

Answer

orthocenter

Question 19

Classify the diagram.

Accepted Answer

orthocenter

Answer

centroid

Answer

incenter

Answer

circumcenter

Question 20

Classify the diagram.

Accepted Answer

circumcenter

Answer

centroid

Answer

incenter

Answer

orthocenter

Question 21

How can you tell if 3 measurements create a triangle?

Accepted Answer

The sum of the 2 smaller sides has to be larger than the large side

Answer

You draw it out

Answer

The larger side has to be larger than the sum of the 2 smaller sides.

Answer

You find the difference and the sum

Question 22

How can you find the range of the 3rd side if you are given 2 measurements of a triangle?

Accepted Answer

You find the difference and the sum of the 2 measurements

Answer

You draw it out.

Answer

The sum of the 2 smaller sides has to be larger than the large side

Answer

The larger side has to be larger than the sum of the 2 smaller sides.

Question 23

The smaller side is opposite the smaller angle

Accepted Answer

True

Answer

False

Question 24

The larger side is opposite the larger angle

Accepted Answer

True

Answer

False

Question 25

The smaller angle is opposite the larger side

Accepted Answer

False

Answer

True

Question 26

The smaller angle is opposite the smaller side

Accepted Answer

True

Answer

False

Question 27

The distance around a triangle

Accepted Answer

perimeter

Answer

circumference

Answer

radius

Answer

diameter

Question 28

A perpendicular line creates

Accepted Answer

a 90-degree angle

Answer

a 45-degree angle

Answer

a parallel line

Answer

a obtuse angle

Question 29

An angle bisector creates

Accepted Answer

two equal angles

Answer

two parallel lines

Answer

two perpendicular lines

Answer

two congruent triangles

Question 30

A segment bisector creates

Accepted Answer

two equal segments

Answer

three unequal segments

Answer

a right angle

Answer

a parallel line

Question 31

Can the following 3 numbers be side measures of a triangle

7, 5, 4

Accepted Answer

Yes

Answer

No

Question 32

Can the following 3 numbers be side measures of a triangle

3, 6, 2

Accepted Answer

No

Answer

Yes

Question 33

If m < BCA is $$72\degree$$ , what is m < PCY?

Accepted Answer

$$36\degree$$

Answer

$$72\degree$$

Answer

$$48\degree$$

Answer

$$60\degree$$

Question 34

What is the length of segment QR?

Accepted Answer

8

Answer

4

Answer

16

Answer

32

Question 35

The incenter of a triangle is equidistant from the _________ of the triangle.

Accepted Answer

sides

Answer

midsegment

Answer

center

Answer

vertices

Question 36

Which point is equidistant from the sides?

Accepted Answer

Incenter

Answer

Circumcenter

Answer

Neither

Answer

Bilateral

Question 37

Which point is equidistant from the vertices?

Accepted Answer

Circumcenter

Answer

Incenter

Answer

Neither

Answer

Bilateral

Question 38

Where is the circumcenter on a  obtuse triangle?

Accepted Answer

Outside

Answer

Inside

Answer

mid point of hypotenuse

Answer

at the vertex with the right angle

Question 39

The circumcenter of a triangle is equidistant from the _______ of the triangle.

Accepted Answer

vertices

Answer

sides

Answer

center

Answer

midsegment

Question 40

What is point J called?

Accepted Answer

centroid

Answer

incenter

Answer

circumcenter

Answer

orthocenter

Question 41

Name the point shown.

Accepted Answer

Incenter

Answer

Circumcenter

Answer

Neither

Answer

Center-center

Question 42

Name the point shown.

Accepted Answer

Circumcenter

Answer

Incenter

Answer

Supercenter

Answer

Neither

Question 43

What special segment is drawn in the large triangle?

Accepted Answer

Perpendicular Bisector

Answer

Median

Answer

Altitude

Answer

Angle Bisector

Question 44

What special segments are drawn in the large triangle?

Accepted Answer

Angle Bisector

Answer

Median

Answer

Altitude

Answer

Perpendicular Bisector

Question 45

If G is the circumcenter, what type of segments are drawn?

Accepted Answer

perpendicular bisectors

Answer

angle bisectors

Answer

altitudes

Answer

centroids

Question 46

Name the point shown.

Accepted Answer

Incenter

Answer

Circumcenter

Answer

Supercenter

Answer

Neither

Question 47

The centroid is the point of the 3 ____ of a triangle.

Accepted Answer

Medians

Answer

Midsegments

Answer

Perpendicular Bisectors

Answer

Angle Bisectos

Question 48

When you draw the medians of a triangle it creates the point called the _____________.

Accepted Answer

Centroid

Answer

Incenter

Answer

Perpendicular Bisectors

Answer

Altitude

Question 49

Bisect means to .....

Accepted Answer

cut into 2 equal parts

Answer

separate

Answer

share common sides

Answer

cut open

Question 50

A segment connecting the vertex to the midpoint of the opposite side

Accepted Answer

Median

Answer

Midsegment

Answer

Altitude

Answer

Middle

Question 51

A segment that connects the vertex to the opposite side so that it is perpendicular to that side.

Accepted Answer

Altitude

Answer

Median

Answer

Midpoint

Answer

Midsegment

Question 52

Question 52.

Accepted Answer

Orthocenter

Answer

Incenter

Answer

Midsegment

Answer

Angle Bisector

Question 53

What is the range of possible values for x?

Accepted Answer

6 < x < 12

Answer

3 < x < 9

Answer

6 < x < 9

Answer

3 < x < 12

Question 54

Which angle is the smallest?

Accepted Answer

R

Answer

T

Answer

Y

Question 55

Which angle is the largest?

Accepted Answer

Y

Answer

R

Answer

T

Question 56

Order the angles from least to greatest.

Accepted Answer

B, A, C

Answer

A, B, C

Answer

C, B, A

Answer

B, C, A

Question 57

Order the angles from least to greatest.

Accepted Answer

A, B, C

Answer

B, A, C

Answer

A, C, B

Answer

C, A, B

Question 58

Order the sides from least to greatest.

Accepted Answer

AB, AC, BC

Answer

AB, BC, CA

Answer

BC, AB, CA

Answer

CA, AB, BC

Question 59

Order the sides from least to greatest.

Accepted Answer

BC, AC, AB

Answer

AB, AC, BC

Answer

AC, AB, BC

Answer

BC, AB, AC

Triangle Centers & Inequalities Quiz

60 questions

The ________________ is the intersection of the three medians in a triangle.

The ________________ is the intersection of the three angle bisectors in a triangle.

The ________________ is the intersection of the three altitudes in a triangle.

The ________________ is the intersection of the three perpendicular bisectors in a triangle.

The ________________ is equidistant from the vertices of a triangle.

The ________________ is equidistant from the sides of a triangle.

For the circumcenter you first need to find the of each side. Then use the to draw the line.

For the centroid you have to find the and connect it to the opposite .

For the orthocenter use the and start at the .

The ________________ is the line that connects the midpoints of 2 sides of a triangle.

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Triangle Centers & Inequalities Quiz

60 questions

The ________________ is the intersection of the three medians in a triangle.

The ________________ is the intersection of the three angle bisectors in a triangle.

The ________________ is the intersection of the three altitudes in a triangle.

The ________________ is the intersection of the three perpendicular bisectors in a triangle.

The ________________ is equidistant from the vertices of a triangle.

The ________________ is equidistant from the sides of a triangle.

For the circumcenter you first need to find the ________________ of each side. Then use the ________________ to draw the line.

For the centroid you have to find the ________________ and connect it to the opposite ________________.

For the orthocenter use the ________________ and start at the ________________.

The ________________ is the line that connects the midpoints of 2 sides of a triangle.

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For the circumcenter you first need to find the of each side. Then use the to draw the line.

For the centroid you have to find the and connect it to the opposite .

For the orthocenter use the and start at the .