Quiz about Relationships within Triangles Review

Question 1

Use the Perp Bisector Theorem to find HG

Accepted Answer

14

Answer

28

Answer

41

Answer

7

Question 2

Define: CIRCUMCENTER OF A TRAINGLE

Accepted Answer

the intersection point of the three perpendicular bisectors of a triangle

Answer

when a circle passes through the three vertices of a triangle

Answer

the point of intersection of three or more lines

Answer

the intersection point of the three angle bisectors of a triangle

Question 3

Define: INCENTER OF A TRIANGLE

Accepted Answer

the intersection point of the three angle bisectors of a triangle

Answer

when three or more lines intersect at a single point

Answer

the intersection point of the three perpendicular bisectors of a triangle

Answer

the point of intersection of three or more lines

Question 4

Which point is equidistant from the vertices?

Accepted Answer

Circumcenter

Answer

Incenter

Answer

Neither

Answer

Bilateral

Question 5

Which point is equidistant from the sides?

Accepted Answer

Incenter

Answer

Circumcenter

Answer

Neither

Answer

Bilateral

Question 6

Name the point of concurrency shown.

Accepted Answer

Circumcenter

Answer

Incenter

Answer

Supercenter

Answer

Neither

Question 7

Name the point of concurrency shown.

Accepted Answer

Incenter

Answer

Circumcenter

Answer

Supercenter

Answer

Neither

Question 8

Which of the following describes a median of a triangle?

Accepted Answer

B. A segment with endpoints at the vertex and midpoint of the opposite side.

Answer

A. A middle of the triangle.

Answer

C. A segment that connects two midpoints of two sides.

Answer

D. A segment that connects the vertex and the opposite side at 90 degrees.

Question 9

Which of the following words describes the point shown in the figure?

Accepted Answer

C. Centroid

Answer

A. Centerpoint

Answer

B. Orthocenter

Answer

D. Midpoint

Question 10

AD = 12. Find AG

Accepted Answer

8

Answer

6

Answer

18

Answer

12

Question 11

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

Accepted Answer

Medians

Answer

Midsegments

Answer

Perpendicular Bisectors

Answer

Angle Bisectos

Question 12

The altitudes of a triangle intersect at the _________________________.

Accepted Answer

Orthocenter

Answer

Centriod

Answer

Circumcenter

Answer

Incenter

Question 13

The orthocenter can be outside the triangle if the triangle is ...

Accepted Answer

obtuse

Answer

acute

Answer

iscolese

Answer

right

Question 14

10. What type of lines are shown

Accepted Answer

altitudes

Answer

perpendicular bisectors

Answer

medians

Answer

angle bisectors

Question 15

The figures above are examples of ...

Accepted Answer

altitudes

Answer

perpendicular bisectors

Answer

medians

Answer

angle bisectors

Question 16

If G is the centroid of triangle ABC and GF= 4. Find the length of GC.

Accepted Answer

8

Answer

4

Answer

6

Answer

Not Enough Information

Question 17

The figure is an example of a(n) ...

Accepted Answer

perpendicular bisector

Answer

altitude

Answer

midsegment

Answer

angle bisector

Question 18

What segment is parallel to EF?

Accepted Answer

Segment NP

Answer

Segment PM

Answer

Segment MN

Answer

Segment FG

Question 19

QR is a midsegment of triangle WUV. What is the length of segment QR?

Accepted Answer

8

Answer

4

Answer

16

Answer

32

Question 20

What is the measure of angle X?

Accepted Answer

60

Answer

40

Answer

140

Answer

100

Question 21

What is the measure of angle Y?

Accepted Answer

140

Answer

60

Answer

40

Answer

100

Question 22

The Triangle Longer Side Theorem says If one side of a triangle is longer than another side, then the angle opposite the longer side will be larger than the angle opposite the shorter side.

Accepted Answer

True

Answer

False

Question 23

The smallest angle would be located where in a triangle?

Accepted Answer

Across from the smallest side.

Answer

Across from the largest side

Answer

Cannot tell

Question 24

Where would the largest side of a triangle be located?

Accepted Answer

Across from the largest angle.

Answer

Across from the smallest angle.

Answer

Next to the smallest side.

Answer

Across the smallest side.

Question 25

Name the angles from SMALLEST to LARGEST

Accepted Answer

R, P, Q

Answer

Q, R, P

Answer

P, Q, R

Answer

R, Q, P

Question 26

Name the sides from SMALLEST to LARGEST

Accepted Answer

RT, RS, ST

Answer

RS, ST, TR

Answer

ST, RT, RS

Answer

RT, ST, RS

Question 27

It is called the HINGE theorem, because...

Accepted Answer

the vertex of the angle acts like a hinge to open the triangle.

Answer

it's named after Joseph Hinge, the man who discovered it.

Answer

"hinge" is the Spanish word for angle.

Answer

the triangle makes a hinge shape, like a tent.

Question 28

Which of the following is a possible  length for segment AC

Accepted Answer

17

Answer

10

Answer

15

Answer

9

Question 29

Using the hinge theorem, we can say that AB _____ DC

Accepted Answer

Equal to

Answer

Greater than

Answer

Less than

Answer

Half of

Question 30

Using the hinge theorem, we can say that Angle 1 _____ Angle 2.

Accepted Answer

Greater than

Answer

Less than

Answer

Equal to

Answer

Half of

Question 31

BC _____ EF

Accepted Answer

>

Answer

<

Answer

=

Answer

No conclusion can be made.

Relationships within Triangles Review

38 questions

Use the Perp Bisector Theorem to find HG

Find the measure of $\overline{QA}$

Define: CIRCUMCENTER OF A TRAINGLE

Define: INCENTER OF A TRIANGLE

Which point is equidistant from the vertices?

Which point is equidistant from the sides?

Name the point of concurrency shown.

Name the point of concurrency shown.

Which of the following describes a median of a triangle?

Which of the following words describes the point shown in the figure?

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Relationships within Triangles Review

38 questions

Use the Perp Bisector Theorem to find HG

Find the measure of QA‾\overline{QA}QA​

Define: CIRCUMCENTER OF A TRAINGLE

Define: INCENTER OF A TRIANGLE

Which point is equidistant from the vertices?

Which point is equidistant from the sides?

Name the point of concurrency shown.

Name the point of concurrency shown.

Which of the following describes a median of a triangle?

Which of the following words describes the point shown in the figure?

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Find the measure of $\overline{QA}$