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7-3 Skills Practice

Total questions: 8

Worksheet time: 40mins

Name
Class
Date
1.

Determine whether the triangles are similar. If so, write a similarity statement. If not, what would we need to prove the triangles are similar?

a)

Yes; ΔRSTΔSWX\Delta RST\sim\Delta SWX by SASSAS\sim

b)

Yes; ΔRSTΔWSX\Delta RST\sim\Delta WSX by SASSAS\sim

c)

Yes; ΔRTSΔWSX\Delta RTS\sim\Delta WSX by SSSSSS\sim

d)

Not similar; wrong sides congruent

2.

Determine whether the triangles are similar. If so, write a similarity statement. If not, what would we need to prove the triangles are similar?

a)

Yes; ΔABCΔQPR by SSSYes;\ \Delta ABC\sim\Delta QPR\ by\ SSS\sim

b)

Yes; ΔCABΔPQR by SSSYes;\ \Delta CAB\sim\Delta PQR\ by\ SSS\sim

c)

Yes; ΔABCΔRQP by AAYes;\ \Delta ABC\sim\Delta RQP\ by\ AA\sim

d)

Not Similar; sides don't match up

3.

Determine whether the triangles are similar. If so, write a similarity statement. If not, what would we need to prove the triangles are similar?

a)

Yes; ΔSTUΔMJP by SSSYes;\ \Delta STU\sim\Delta MJP\ by\ SSS\sim

b)

Yes; ΔUSTΔJMP by SASYes;\ \Delta UST\sim\Delta JMP\ by\ SAS\sim

c)

Yes; ΔUSTΔMJP by SASYes;\ \Delta UST\sim\Delta MJP\ by\ SAS\sim

d)

Not Similar; wrong sides

4.

Determine whether the triangles are similar. If so, write a similarity statement. If not, what would we need to prove the triangles are similar?

a)

Yes; ΔSKMΔQRT by AAYes;\ \Delta SKM\sim\Delta QRT\ by\ AA\sim

b)

Yes; ΔSKMΔRTQ by AAYes;\ \Delta SKM\sim\Delta RTQ\ by\ AA\sim

c)

Yes; ΔKSMΔRTQ by AAYes;\ \Delta KSM\sim\Delta RTQ\ by\ AA\sim

d)

Not Similar; angles don't match

5.

Identify the similar triangles. Then find AC.

a)

 ΔCABΔDBE; 16\Delta CAB\sim\Delta DBE;\ 16  

b)

 ΔABCΔDBE; 15\Delta ABC\sim\Delta DBE;\ 15  

c)

 ΔCABΔDBE; 15\Delta CAB\sim\Delta DBE;\ 15  

d)

 ΔABCΔDBE; 16\Delta ABC\sim\Delta DBE;\ 16  

6.

Identify the similar triangles. Then find JL.

a)

ΔJLKΔMLN; 10\Delta JLK\sim\Delta MLN;\ 10

b)

ΔJLKΔMLN; 28\Delta JLK\sim\Delta MLN;\ 28

c)

ΔLJKΔMLN; 28\Delta LJK\sim\Delta MLN;\ 28

d)

ΔLJKΔMLN; 10\Delta LJK\sim\Delta MLN;\ 10

7.

Identify the similar triangles. Then find EH.

a)

 ΔHEGΔFED; 9\Delta HEG\sim\Delta FED;\ 9  

b)

 ΔHEGΔFDE; 9\Delta HEG\sim\Delta FDE;\ 9  

c)

 ΔHEGΔFED; 4\Delta HEG\sim\Delta FED;\ 4  

d)

 ΔHEGΔFDE; 4\Delta HEG\sim\Delta FDE;\ 4  

8.

Identify the similar triangles. Then find VT.

a)

ΔTRSΔUTV; 5.4\Delta TRS\sim\Delta UTV;\ 5.4

b)

ΔRTSΔUTV; 3.4\Delta RTS\sim\Delta UTV;\ 3.4

c)

ΔTRSΔUTV; 3.4\Delta TRS\sim\Delta UTV;\ 3.4

d)

ΔRTSΔUTV; 5.4\Delta RTS\sim\Delta UTV;\ 5.4