Chapter 2 Review - Congruent and Similar Triangles

Chapter 2 Review - Congruent and Similar Triangles

Multiple Choice

Complete the congruence statement :

∠D ≅ ?

• ∠I

• ∠J

• ∠K

Multiple Choice

Complete the congruence statement :

∠J ≅ ?

• ∠D

• ∠E

• ∠F

Multiple Choice

 Complete the congruence statement :
 $\overline{DE}\ \cong\ ?$  

•  $\overline{IJ}$  

•  $\overline{JK}$  
  

•  $\overline{KI}$  
  

Multiple Choice

 Complete the congruence statement :
 $\overline{EF}\ \cong\ ?$  

•  $\overline{IJ}$  

•  $\overline{JK}$  
  

•  $\overline{KI}$  
  

Multiple Choice

 Complete the congruence statement :
 $\ \Delta DEF\ \cong\ ?$  

•  $\Delta KIJ$  
  

•  $\Delta KJI$  
  

•  $\Delta JKI$  
  

•  $\Delta IJK$  

Multiple Choice

The two triangles are congruent. Choose the correct theorem to support this. 

•  $SSS\ \cong$  

•  $SAS\ \cong$  

•  $ASA\ \cong$  

•  $AAS\ \cong$  

•  $HL\ \cong$  

Multiple Choice

The two triangles are congruent. Choose the correct theorem to support this. 

•  $SSS\ \cong$  

•  $SAS\ \cong$  

•  $ASA\ \cong$  

•  $AAS\ \cong$  

•  $HL\ \cong$  

Multiple Choice

The two triangles are congruent. Choose the correct theorem to support this. 

•  $SSS\ \cong$  

•  $SAS\ \cong$  

•  $ASA\ \cong$  

•  $AAS\ \cong$  

•  $HL\ \cong$  

Multiple Choice

The two triangles are congruent. Choose the correct theorem to support this. 

•  $SSS\ \cong$  

•  $SAS\ \cong$  

•  $ASA\ \cong$  

•  $AAS\ \cong$  

•  $HL\ \cong$  

Multiple Choice

The two triangles are congruent. Choose the correct theorem to support this. 

•  $SSS\ \cong$  

•  $SAS\ \cong$  

•  $ASA\ \cong$  

•  $AAS\ \cong$  

•  $HL\ \cong$  

Multiple Choice

The two triangles are congruent. Choose the correct theorem to support this. 

•  $SSS\ \cong$  

•  $SAS\ \cong$  

•  $ASA\ \cong$  

•  $AAS\ \cong$  

•  $HL\ \cong$  

Multiple Choice

The two triangles are congruent. Choose the correct theorem to support this. 

•  $SSS\ \cong$  

•  $SAS\ \cong$  

•  $ASA\ \cong$  

•  $AAS\ \cong$  

•  $HL\ \cong$  

Multiple Choice

The two triangles are congruent. Choose the correct theorem to support this. 

•  $SSS\ \cong$  

•  $SAS\ \cong$  

•  $ASA\ \cong$  

•  $AAS\ \cong$  

•  $HL\ \cong$  

Multiple Choice

The two triangles are congruent. Choose the correct theorem to support this. 

•  $SSS\ \cong$  

•  $SAS\ \cong$  

•  $ASA\ \cong$  

•  $AAS\ \cong$  

•  $HL\ \cong$  

Multiple Choice

The two triangles are congruent. Choose the correct theorem to support this. 

•  $SSS\ \cong$  

•  $SAS\ \cong$  

•  $ASA\ \cong$  

•  $AAS\ \cong$  

•  $HL\ \cong$  

Multiple Choice

If the triangles are congruent, select the correct theorem. 

If not, select 'not enough info'. 

• not enough info

•  $SAS\ \cong$  

•  $ASA\ \cong$  

•  $AAS\ \cong$  

•  $HL\ \cong$  

Multiple Choice

If the triangles are congruent, select the correct theorem. 

If not, select 'not enough info'. 

•  $SSS\ \cong$ 

•  $SAS\ \cong$  

•  $ASA\ \cong$  

•  $AAS\ \cong$  

• not enough info

Multiple Choice

If the triangles are congruent, select the correct theorem. 

If not, select 'not enough info'. 

•  $SSS\ \cong$  

•  $SAS\ \cong$  

•  $ASA\ \cong$  

•  $AAS\ \cong$  

• not enough info

Multiple Choice

If the triangles are congruent, select the correct theorem. 

If not, select 'not enough info'. 

• not enough info

•  $SAS\ \cong$  

•  $ASA\ \cong$  

•  $AAS\ \cong$  

•  $HL\ \cong$  

Multiple Choice

If the triangles are congruent, select the correct theorem. 

If not, select 'not enough info'. 

•  $SSS\ \cong$   

•  $SAS\ \cong$  

•  $ASA\ \cong$  

•  $AAS\ \cong$  

• not enough info

Multiple Choice

If the triangles are congruent, select the correct theorem. 

If not, select 'not enough info'. 

• not enough info

•  $SAS\ \cong$  

•  $ASA\ \cong$  

•  $AAS\ \cong$  

•  $HL\ \cong$  

Reminder

•  $<VWU\cong<YWX$  

•  Vertical Angles are Congruent 

Reminder

•  $\overline{GJ}\ \cong\overline{GJ}\$  

•  Reflexive Property 

Multiple Choice

The two triangles are congruent. Choose the correct theorem to support this. 

•  $SSS\ \cong$  

•  $SAS\ \cong$  

•  $ASA\ \cong$  

•  $AAS\ \cong$  

•  $HL\ \cong$  

Multiple Choice

The two triangles are congruent. Choose the correct theorem to support this. 

•  $SSS\ \cong$  

•  $SAS\ \cong$  

•  $ASA\ \cong$  

•  $AAS\ \cong$  

•  $HL\ \cong$  

Multiple Choice

The two triangles are congruent. Choose the correct theorem to support this. 

•  $SSS\ \cong$  

•  $SAS\ \cong$  

•  $ASA\ \cong$  

•  $AAS\ \cong$  

•  $HL\ \cong$  

Multiple Choice

The two triangles are congruent. Choose the correct theorem to support this. 

•  $SSS\ \cong$  

•  $SAS\ \cong$  

•  $ASA\ \cong$  

•  $AAS\ \cong$  

•  $HL\ \cong$  

Multiple Choice

Select the correct reason for statement #1.

• Given

• Vertical Angles are Congruent

• Reflexive Property

Multiple Choice

Select the correct reason for statement #2.

• Given

• Vertical Angles are Congruent

• Reflexive Property

Multiple Choice

Select the correct reason for statement #3.

• Given

• Vertical Angles are Congruent

• Reflexive Property

Multiple Choice

Select the correct reason for statement #4.

• SSS

• SAS

• ASA

• AAS

Multiple Choice

Select the correct reason for statement #1.

• Given

• Vertical Angles are Congruent

• Reflexive Property

Multiple Choice

Select the correct reason for statement #2.

• Given

• Vertical Angles are Congruent

• Reflexive Property

Multiple Choice

Select the correct reason for statement #3.

• Given

• Vertical Angles are Congruent

• Reflexive Property

Multiple Choice

Select the correct reason for statement #4.

• SSS

• ASA

• SAS

• AAS

Multiple Choice

Scale Factor of 5 is a_________________ .

• Reduction

• Enlargement

Multiple Choice

Scale Factor of ½ is a __________________ .

• Reduction

• Enlargement

Multiple Choice

ABCD is mapped to A'B'C'D'.

What is the scale factor of this reduction?

• 1/2

• 1/4

• 2

• 4

Multiple Choice

ABCD is mapped to A'B'C'D'.

What is the scale factor of this enlargement?

• 1/2

• 1/4

• 2

• 4

Multiple Choice

ABC to mapped to A'B'C'.

What is the scale factor of this reduction?

• 1/2

• 1/4

• 2

• 4

Multiple Choice

The shapes are similar. Find the length of the missing side.

• 2

• 4

• 3

• 6

Multiple Choice

The shapes are similar. Find the length of the missing side.

• x = 20

• x = 12

• x = 5

• x = 4

Multiple Choice

The shapes are similar. Find the length of the missing side.

• x = 2

• x = 6

• x = 4

• x = 8

Multiple Choice

The shapes are similar. Find the length of the missing side.

• x = 10

• x = 4

• x = 2

• x = 5

Multiple Choice

The shapes are similar. Find the length of the missing side.

• 5

• 7

• 9

• 11

Multiple Choice

The shapes are similar. Find the length of the missing side.

• 16

• 18

• 2.4

• 15

Multiple Choice

The shapes are similar. Find the length of the missing side.

• 6

• 8

• 5

• 7

Multiple Choice

Use the side splitter theorem to find the value of x.

• x = 2

• x = 4

• x = 5

• x = 6

• x = 8

Multiple Choice

Use the side splitter theorem to find the value of x.

• x = 6.1

• x = 7.3

• x = 7.5

• x = 8.4

• x = 8.7

Multiple Choice

Use the side splitter theorem to find the value of x.

• x = 5

• x = 5.5

• x = 6

• x = 7.4

• x = 8.2

Multiple Choice

Sketch the small and large triangles separately. 

Compare small base : large base 

to small side : large side 

• x = 2.2

• x = 2.6

• x = 3.4

• x = 3.2

• x = 2.8

Multiple Choice

Determine if the triangles are similar.

If they are, select the correct similarity theorem.

If not, select 'not similar'

• $AA\sim$

• $SSS\sim$

• $SAS\sim$

• not similar

Multiple Choice

Determine if the triangles are similar.

If they are, select the correct similarity theorem.

If not, select 'not similar'

• $AA\sim$

• $SSS\sim$

•  $SAS\ \sim$ 

• not similar

Multiple Choice

Determine if the triangles are similar.

If they are, select the correct similarity theorem.

If not, select 'not similar'

• $AA\sim$

• $SSS\sim$

•  $SAS\ \sim$ 

• not similar

Multiple Choice

Determine if the triangles are similar.

If they are, select the correct similarity theorem.

If not, select 'not similar'

• $AA\sim$

• $SSS\sim$

•  $SAS\ \sim$ 

• not similar

Multiple Choice

Determine if the triangles are similar.

If they are, select the correct similarity theorem.

If not, select 'not similar'

• $AA\sim$

• $SSS\sim$

•  $SAS\ \sim$ 

• not similar

Multiple Choice

Determine if the triangles are similar.

If they are, select the correct similarity theorem.

If not, select 'not similar'

• $AA\sim$

• $SSS\sim$

•  $SAS\ \sim$ 

• not similar

Multiple Choice

Determine if the triangles are similar.

If they are, select the correct similarity theorem.

If not, select 'not similar'

• $AA\sim$

• $SSS\sim$

•  $SAS\ \sim$ 

• not similar

Multiple Choice

Determine if the triangles are similar.

If they are, select the correct similarity theorem.

If not, select 'not similar'

• $AA\sim$

• $SSS\sim$

•  $SAS\ \sim$ 

• not similar

Multiple Choice

Determine if the triangles are similar.

If they are, select the correct similarity theorem.

If not, select 'not similar'

• $AA\sim$

• $SSS\sim$

•  $SAS\ \sim$ 

• not similar

Multiple Choice

Determine if the triangles are similar.

If they are, select the correct similarity theorem.

If not, select 'not similar'

• $AA\sim$

• $SSS\sim$

•  $SAS\ \sim$ 

• not similar

Multiple Choice

Determine if the triangles are similar.

If they are, select the correct similarity theorem.

If not, select 'not similar'

• $AA\sim$

• $SSS\sim$

•  $SAS\ \sim$ 

• not similar

Multiple Choice

Determine if the triangles are similar.

If they are, select the correct similarity theorem.

If not, select 'not similar'

• $AA\sim$

• $SSS\sim$

• $SAS~$

• not similar