Similarity
Midsegment
Inequalities
Proofs
Inscribed/Circumscribed Circles
100


YES

100

What is the value of "x" ? 

x = 1 

100

Consider the lengths provided below. Can this triangle exist? 

21, 18, 17 

Yes, it can exist. 

100

True or False - This proof is correct and justifiable. 


100

What type of center is Point P? 

Incenter

200

Find the value of "x"

x = 13.5

200

What is the length of AB

AB = 16

200

Consider the lengths below. Can this triangle exist?

3, 12, 8

No, this triangle cannot exist. 

200

Fill in the missing reason.


SAS ~ Criterion

200

Write an equation comparing DO to DC.

DO = 1/3DC

300

Find the length of EF assuming these triangles are similar. 

EF = 18

300

Find the value of "x" 


x = 2

300

A triangle has two sides of length 12 and 19. What is the largest possible whole-number length for the third side?

30

300


AAS

300

Provide the definition for the following: 

Circumcenter 

Centroid

Inscribed Circle

Circumcenter - the point of which is equidistant from all the vertices of your triangle 

Centroid - Point of intersection of the medians of a triangle

Inscribed Circle - circle contained in the triangle; it touches (is tangent to) the three sides. 

400

Triangle HYV and triangle AYB are similar by the AA similarity theorem. What is the value of x? 


x = 40.375

400

Find the value of both "x" and "y" 


x = 2

y = 5

400

A triangle has two sides of length 1.8 and 8.9. What compound inequality describes the possible lengths for the third side, x? 

7.1 < x < 10.7

400


1) two lines being parallel does not prove similarity. 
400

Find the value of GF and GM.

GF = 18

GM = 6

500

Find the length of QP and PR in order to make these two triangles similar. What is the values of both perimeters added together? 

QP = 8

PR = 14 


Final answer: 51

500

Find the value of "y" and "z" 


y = 13 

z = 2.1

500

A triangle has two sides of length 2.3 and 4.5. What compound inequality describes the possible lengths for the third side, x ?

2.2 < x < 6.8

500

Provide the definition of the following: 

Hinge Theorem 

Triangle Midsegment Theorem 

CPCTC Theorem 

Hinge Theorem - if two sides of two triangles are congruent and the included angle is different, then the angle that is larger is opposite the longer side. 

Triangle Midsegment Theorem - The segment joining the midpoints of two sides of a triangle is parallel to and half the length of the third side 

CPCTC Theorem - corresponding parts of congruent triangles are congruent. 

500

Find the value of "x" and "y"

x = 8 

y = 14

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