Quiz about Geometry Relationships in Triangles

Question 1

What is the point called where the perpendicular bisectors of the sides of a triangle intersect?

Accepted Answer

circumcenter

Answer

incenter

Answer

centroid

Answer

orthocenter

Question 2

What is the name of the point that is two-thirds of the way from each vertex of a triangle to the midpoint of the opposite side?

Accepted Answer

Centroid

Answer

Circumcenter

Answer

Incenter

Answer

Orthocenter

Question 3

Which of the following segments represents an altitude?

Accepted Answer

BX

Answer

AZ

Answer

AC

Answer

BZ

Question 4

A line that is perpendicular to a segment at its midpoint is called a ____________.

Accepted Answer

perpendicular bisector

Answer

midsegment

Answer

median

Answer

altitude

Question 5

A median of a triangle connects the ___________ of a side to the opposite vertex.

Accepted Answer

midpoint

Answer

right angle

Answer

end point

Answer

angle

Question 6

The sum of the lengths of any two sides of a triangle is _____ than the third side

Accepted Answer

greater

Answer

less

Answer

equal

Question 7

Does the sides 8, 9, 10 make a triangle?

Accepted Answer

yes

Answer

no

Question 8

Does the side 3, 4, 9 make a triangle?

Accepted Answer

no

Answer

yes

Question 9

The lengths of two sides are given (6, 15). What are the possible length of the third side? Between what two numbers

Accepted Answer

Between 9 and 21

Answer

Between 6 and 15

Answer

Between 6 and 21

Question 10

A ray that divides an angle into two congruent angles is called .............

Accepted Answer

angle bisector

Answer

perpendicular bisector

Answer

vertex

Answer

divider

Question 11

The lengths of two sides of a triangle are 38 and 45. Write an inequality to express the possible lengths of x, the third side of the triangle.

Accepted Answer

$$7<x<83$$

Answer

$$8<x<82$$

Answer

$$7>x>83$$

Answer

$$8>x>82$$

Question 12

Find the length of AD

Accepted Answer

8

Answer

2

Answer

4

Answer

6

Question 13

In the picture above, CG, EG, and AG are angle bisectors.

CG = 15, GF = 9. Find BG.

Accepted Answer

9

Answer

17.5

Answer

15

Question 14

Fill the blank with <, >, or =.

CB _____ DB

Accepted Answer

$$<$$

Answer

$$>$$

Answer

$$=$$

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