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Hon Ch 6 Relationships in Triangles

Total questions: 21

Worksheet time: 11mins

Name
Class
Date
1.

Name an altitude in the picture.

a)
b)
c)
d)
2.

Name a perpendicular bisector in the picture.

a)
b)
c)
d)
3.

Which of the following can intersect outside the a triangle?

a)

angle bisectors

b)

perpendicular bisectors

c)

medians

d)

midsegments

4.

Which segments create a point of concurrency that is the balance point of the triangle.

a)

angle bisectors

b)

perpendicular bisectors

c)

medians

d)

altitudes

5.

The _____________________ of a triangle is equidistant from the vertices of the triangle.

a)

incenter (angle bisectors)

b)

circumcenter (perpendicular bisectors)

c)

centroid (medians)

d)

ortho center (altitudes)

6.

Determine which statement is true if segment YW is an angle bisector.

a)
b)
c)
d)
7.

Find RS.

a)

3.4

b)

6.8

c)

6

d)

10

8.

Find measure of angle GJF.

a)

42o

b)

84o

c)

48o

d)

90o

9.

The angle bisectors meet at point P.

Find the measure of angle LZP

a)

20o

b)

27o

c)

31o

d)

32o

10.

S is the point of concurrency of the angle bisectors.

Find measure of angle PGI.

a)

12o

b)

23o

c)

24o

d)

26o

11.

What do you need to construct to find the center of an inscribed circle.

a)

Angle bisectors

b)

Perpendicular bisectors

c)

Altitudes

d)

Medians

12.

Find FK.

a)
b)
c)
d)
13.

The perpendicular bisectors of a right triangle meet __________________________

a)

inside the triangle

b)

outside the triangle

c)

at the right angle

d)

at the midpoint of the hypotenuse

14.

Find MP.

a)

2

b)

16

c)

18

d)

32

15.

Find the perimeter of ΔMPN.

a)

12

b)

24

c)

36

d)

48

16.

Which angle is congruent to ∠GAC.

a)

∠AHB

b)

∠ACB

c)

∠CBJ

d)

All of the above

17.

Name an altitude in the picture.

a)
b)
c)
d)
18.

Find PA.

a)

9

b)

18

c)

27

d)

36

19.

Is it possible to form a triangle with the following side lenghts? 4, 9, √34

a)

Yes

b)

No

c)

Can't determine

20.

What are the possible values for the third side of the triangle if two sides are 23 & 16

a)

16 < x < 23

b)

x > 7 and x < 39

c)

7 > x > 39

d)

8 ≤ x ≤ 38

21.

Find the centroid of  Δ\Delta  ABC.  A(-3, -3)  B(1, 5)  C(5, -2)

a)

(3, -1)

b)

(-1, 1)

c)

(1, 0)

d)

(3, 1.5)