Quiz about Applying Geometric Concepts in Modelling

Question 1

Find AD AND BC

Accepted Answer

12; 16

Answer

5;12

Answer

16;4

Answer

5;16

Question 2

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

Accepted Answer

median

Answer

angle bisector

Answer

midsegment

Answer

altitude

Question 3

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

Accepted Answer

perpendicular bisector

Answer

altitude

Answer

midsegment

Answer

angle bisector

Question 4

Which point is equidistant from the vertices?

Accepted Answer

Circumcenter

Answer

Incenter

Answer

Neither

Answer

Bilateral

Question 5

Name the point of concurrency shown.

Accepted Answer

Circumcenter

Answer

Incenter

Answer

Supercenter

Answer

Neither

Question 6

Find the length of PO.

Accepted Answer

32

Answer

35

Answer

26

Answer

29

Question 7

If G is the centroid of triangle ABC and GE= 7. Find the length of BE.

Accepted Answer

21

Answer

7

Answer

14

Answer

Not Enough Informaion

Question 8

Two sides of a triangular tile measure 4 inches and 6 inches. The length of the third side is either 7 inches or 10 inches. Which length is the correct length for the third side?

Accepted Answer

7 inches

Answer

neither

Answer

10 inches

Answer

both, either 7 inches or 10 inches is correct

Question 9

Which set of numbers may represent the lengths of the sides of a triangle?

Accepted Answer

{6,6,7}

Answer

{2,5,9}

Answer

{6,4,2}

Answer

{7,8,1}

Question 10

Two sides of a triangle have lengths 7 and 10.  What are the possible lengths of the third side?

Accepted Answer

3 < x < 17

Answer

7 < x < 10

Answer

x > 3

Answer

x < 17

Question 11

When you draw the perpendicular bisectors of a triangle it creates the point of concurrency called the _____________.

Accepted Answer

Circumcenter

Answer

Centroid

Answer

Incenter

Answer

Orthocenter

Question 12

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

Accepted Answer

Centroid

Answer

Incenter

Answer

Orthocenter

Answer

Altitude

Question 13

The three altitudes of a triangle intersect at the___________________.

Accepted Answer

orthocenter

Answer

median

Answer

centroid

Answer

circumcenter

Question 14

When you construct the angle bisectors of a triangle, they are concurrent at the _________________ .

Accepted Answer

incenter

Answer

centroid

Answer

orthocenter

Answer

circumcenter

Question 15

If S is the incenter, what type of segments are drawn?

Accepted Answer

angle bisectors

Answer

medians

Answer

perpendicular bisectors

Answer

altitudes

Question 16

What is point J called?

Accepted Answer

centroid

Answer

incenter

Answer

circumcenter

Answer

orthocenter

Question 17

Which of these is called the center of gravity.

Accepted Answer

centroid

Answer

orthocenter

Answer

incenter

Answer

circumcenter

Question 18

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

Accepted Answer

sides

Answer

vertices

Answer

angle bisector

Answer

circumcenter

Question 19

The image show which point of concurrency

Accepted Answer

centroid

Answer

circumcenter

Answer

incenter

Answer

orthocenter

Question 20

The circumcenter is _________________ in the triangle.

Accepted Answer

sometimes

Answer

always

Answer

never

Answer

definitely

Question 21

The circumcenter of a right triangle falls on the____________.

Accepted Answer

hypotenuse

Answer

vertex

Answer

vertex

Answer

side

Question 22

The altitude is __________to the side of a triangle.

Accepted Answer

perpendicular

Answer

parallel

Answer

skew

Answer

off

Question 23

Name the point of concurrency shown.

Accepted Answer

Circumcenter

Answer

Incenter

Answer

Supercenter

Answer

Neither

Question 24

Name the point of concurrency shown.

Accepted Answer

Incenter

Answer

Circumcenter

Answer

Supercenter

Answer

Neither

Question 25

Name the point of concurrency shown.

Accepted Answer

Incenter

Answer

Circumcenter

Answer

Neither

Answer

Midcenter

Question 26

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

Accepted Answer

8

Answer

4

Answer

12

Answer

24

Question 27

If G is the centroid of triangle ABC and BF= 10. Find the length of FA.

Accepted Answer

10

Answer

20

Answer

5

Answer

25

Question 28

If G is the centroid of triangle ABC and AG= 16. Find the length of GD.

Accepted Answer

8

Answer

16

Answer

24

Answer

48

Question 29

Find the length of AD

Accepted Answer

8

Answer

2

Answer

4

Answer

6

Question 30

Find the length of segment AG.

Accepted Answer

x=18

Answer

x=6

Answer

x=3

Answer

x=9

Question 31

Find the length of segment AG.

Accepted Answer

22

Answer

11

Answer

3

Answer

66

Question 32

To construct a ____________, you draw a segment from the vertex, which is perpendicular to the opposite side.

Accepted Answer

Altitude

Answer

Median

Answer

Perpendicular Bisector

Answer

Angle Bisector

Question 33

Which one is the orthocenter?

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 34

Find x if LI = 3x + 9 and IA=15

Accepted Answer

x = 7

Answer

x = 6

Answer

x = 30

Answer

x = 45

Question 35

If segment EB = 18, what is the length of EG?

Accepted Answer

12

Answer

18

Answer

6

Answer

9

Question 36

Solve for x if AE is 2x+5 and GE is 3.

Accepted Answer

x = 2

Answer

x = 3

Answer

x = 7

Answer

x = 1.6

Question 37

Find x if GD = x +6 and AG = 4x-2.

Accepted Answer

x = 7

Answer

x = 6

Answer

x = 12

Answer

x = 4

Question 38

Which point of concurrency is this?

Accepted Answer

Incenter

Answer

Circumcenter

Answer

Orthocenter

Answer

Centroid

Question 39

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 40

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 41

Which of the images represents the Circumcenter of a Triangle

Accepted Answer

Second

Answer

First

Answer

Third

Question 42

Name the point of concurrency shown.

Accepted Answer

circumcenter

Answer

incenter

Answer

centroid

Answer

orthocenter

Question 43

Name the point of concurrency shown.

Accepted Answer

circumcenter

Answer

incenter

Answer

centroid

Answer

orthocenter

Question 44

Name the point of concurrency shown.

Accepted Answer

incenter

Answer

circumcenter

Answer

centroid

Answer

orthocenter

Question 45

Which of the following is a possible  length for segment AC

Accepted Answer

17

Answer

10

Answer

15

Answer

9

Question 46

Select the correct answer

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 47

Select the correct answer

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 48

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 49

Compare measure of angle Y and measure of angle M.

Accepted Answer

measure of angle Y > measure of angle M

Answer

measure of angle Y = measure of angle M

Answer

measure of angle Y < measure of angle M

Answer

Not enough information is given.

Question 50

Fill in the missing proofs.

Accepted Answer

Reflexive Property, SAS(Side-Angle-Side)

Answer

Transitive Property, SAS(Side-Angle-Side)

Answer

Reflexive Property, Vertical Angles Thm.

Answer

Transitive Property, SSS(Side-Side-Side)

Question 51

What is the measure of angle 2?

Accepted Answer

50

Answer

65

Answer

115

Question 52

Solve for x.

Accepted Answer

-8

Answer

-10

Answer

11

Answer

10

Question 53

8

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Question 54

What is the length of DC

Accepted Answer

4

Answer

1

Answer

2

Answer

3

Question 55

Find m<A.

Accepted Answer

24

Answer

12

Answer

132

Answer

36

Question 56

$$Find\ the\ measure\ of\angle B.$$

Accepted Answer

90

Answer

45

Answer

180

Answer

135

Question 57

What is the range of values the third side of the triangle could be?

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Question 58

The longest side of a triangle would be located where on a triangle?

Accepted Answer

Across from the largest angle

Answer

Across from the smallest angle

Answer

Cannot tell.

Answer

Adjacent to the smallest side.

Question 59

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 60

Which Theorem explains that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side?

Accepted Answer

Triangle Inequality Theorem

Answer

Quadrilateral Inequality Theorem

Answer

Theorum Inequality Theorem

Answer

Triangle Equality Theorem

Question 61

What is the slope of a line perpendicular to y=3/4x+5?

Accepted Answer

-4/3

Answer

-3/4

Answer

1/5

Answer

4/3

Question 62

What is the slope of a line through points (-2,3) and (6,1)?

Accepted Answer

-1/4

Answer

4

Answer

-4

Answer

1/4

Question 63

What is the equation of a line through points (-3,7) and (2,5)?

Accepted Answer

y = -2/5x + 5 4/5

Answer

y = - 5/2x + 5 4/5

Answer

y = -5/2(x - 2) + 2

Answer

y = 5/2(x + 2) - 2

Question 64

Which of the following are true of segment AB given a(9,5) and B(15,2)? Select all that apply.

Accepted Answer

The midpoint is (12,3.5)

Accepted Answer

The slope of the perpendicular bisector is 2.

Accepted Answer

The slope of the segment is -1/2

Accepted Answer

The distance from the endpoints of the segment to any point on the perpendicular bisector are equal.

Answer

The slope of the perpendicular bisector is -1/2.

Applying Geometric Concepts in Modelling

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