Constructions Review

1.

Multiple Choice

15 mins

5 pts

Which construction is shown?

the perpendicular bisector of a line segment

a perpendicular to a given line at a given point on the line

a line segment congruent to a given line segment

a line parallel to a given line through a point not on the given line

2.

Multiple Choice

15 mins

5 pts

A line or line segment that passes through the midpoint of a line segment and forms a 90 degree angle with the segment.

Bisector

Perpendicular Bisector

Angle

Angle bisector

3.

Multiple Choice

15 mins

5 pts

Which one is the correct construction for a perpendicular bisector?

1

2

3

4

4.

Multiple Choice

15 mins

5 pts

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

Medians

Midsegments

Perpendicular Bisectors

Angle Bisectos

5.

Multiple Choice

15 mins

5 pts

CF, BE, and AD are the medians of the triangle. If BF =10, find AF.

20

10

5

Not Enough Information

6.

Multiple Choice

15 mins

5 pts

If DL = 24, then DG =

16

8

12

36

7.

Multiple Choice

15 mins

5 pts

1. What is the point of concurrency of the perpendicular bisectors of a triangle?

Circumcenter

incenter

orthocenter

centroid

8.

Multiple Choice

15 mins

5 pts

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

4

8

12

Not Enough Information

9.

Multiple Choice

15 mins

5 pts

Which construction is shown?

the bisector of a given angle

an angle congruent to a given angle

a line segment congruent to a given line segment

the perpendicular bisector of a line segment

10.

Multiple Choice

15 mins

5 pts

If G is the centroid of triangle ABC and BE= 18. Find the length of BG.

6

12

18

Not Enough Information

11.

Multiple Choice

15 mins

5 pts

Define: INCENTER OF A TRIANGLE

the intersection point of the three angle bisectors of a triangle

when three or more lines intersect at a single point

the intersection point of the three perpendicular bisectors of a triangle

the point of intersection of three or more lines

12.

Multiple Choice

15 mins

5 pts

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

7

14

21

Not Enough Informaion

13.

Multiple Choice

15 mins

5 pts

10. What type of lines are shown

perpendicular bisectors

medians

altitudes

angle bisectors

14.

Multiple Choice

15 mins

5 pts

The Point of Concurrency for the Altitudes of a Triangle.

Circumcenter

Incenter

Orthocenter

Centroid

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