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Wk 14 EOL 3.3 Congruent Triangles: SSS and SAS

Last updated about 4 hours ago

10 questions

Note from the author:

Use your notes to help you practice these problems. Show all of your work needed for each question.

Instructions

Use your notes to help you practice these problems. Show all of your work needed for each question.

Required

2

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2

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2

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1

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1

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1

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1

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3

Question 8

8.

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3

Question 9

9.

Required

4

Question 1

1.

If ∆ABC  ≅ ∆TSJ,  complete each of the following statements.

a) SJ≅__________
b) AB≅__________
c) AC≅__________
d) ∠B≅__________
e) ∠C≅__________
f) ∠T≅__________
g) Δ JST≅__________
h) ΔJTS≅__________
i) ΔBCA≅__________

Question 2

2.

2. If ΔDEF ≅ ΔGJH, find each missing measure. *Show all your work for full credit. 
a) DF=__________
b) JH=__________
c) GJ=__________
d) m<F=__________
e) m<G=__________
f) m<J=__________

Question 3

3.

3. Given ΔRWS ≅ ΔTUV, find the values of x and y. * Show all of your work for full credit. *

x=__________
y=__________

Question 4

4.

For part (a), determine whether the triangles are congruent by SSS or SAS. If not congruent, write “not congruent.” If congruent, write a congruency statement for part (b).

SSS
SAS
Not Congruent

Question 5

5.

For part (a), determine whether the triangles are congruent by SSS or SAS. If not congruent, write “not congruent.” If congruent, write a congruency statement for part (b).

SSS
SAS
Not Congruent

Question 6

6.

For part (a), determine whether the triangles are congruent by SSS or SAS. If not congruent, write “not congruent.” If congruent, write a congruency statement for part (b).

SSS
SAS
Not Congruent

Question 7

7.

For part (a), determine whether the triangles are congruent by SSS or SAS. If not congruent, write “not congruent.” If congruent, write a congruency statement for part (b).

SSS
SAS
Not Congruent

Given: AM ≅ CP, CM≅ GP, C is the midpoint of AG 
Prove: ΔACM ≅ ΔCGP
Statements                 Reasons
1.AM ≅CP                    1.__________
2. CM ≅ GP                  2.__________
3. C is midpoint of AG
                                       3.__________
4. AC ≅ CG                   4.__________
5. ΔACM ≅ ΔCGP        5.__________

Given: E is the midpoint of AB and CD
Prove: ΔAEC ≅ ΔBED
Statements                 Reasons
1. E is the midpoint of AB and CD                    
                                      1.__________
2. AE ≅ BE                   2.__________
3. CE ≅ DE                   3.__________
4. ∠AEC ≅ ∠BED        4.__________
5. ΔAEC ≅ ΔBED         5.__________

Question 10

10.

Given the coordinates below, determine if ΔFGH and ΔJKL are congruent. If they are choose a congruency statement, if not, choose not congruent. *Show all of your work for full credit*

FG =__________     JK=__________
FH=__________      JL=__________
GH=__________     KL=__________

Choose:__________

ΔGLJ ≅ ΔHLK

ΔMCW ≅ ΔPFY

ΔSVT ≅ ΔSVU

ΔWZX ≅ Δ

a) determine whether the triangles are congruent by SSS or SAS

b)If not congruent, choose “not congruent.”  If congruent, choose a congruency statement

ΔGLJ ≅ ΔHLK

ΔMCW ≅ ΔPFY

ΔSVT ≅ ΔSVU

ΔWZX ≅ ΔYZX

a) determine whether the triangles are congruent by SSS or SAS

b)If not congruent, choose “not congruent.”  If congruent, choose a congruency statement

ΔGLJ ≅ ΔHLK

ΔMCW ≅ ΔPFY

ΔSVT ≅ ΔSVU

ΔWZX ≅ ΔYZX

a) determine whether the triangles are congruent by SSS or SAS

b)If not congruent, choose “not congruent.”  If congruent, choose a congruency statement

ΔGLJ ≅ ΔHLK

ΔMCW ≅ ΔPFY

ΔSVT ≅ ΔSVU

ΔWZX ≅ ΔYZX

a) determine whether the triangles are congruent by SSS or SAS

b)If not congruent, choose “not congruent.”  If congruent, choose a congruency statement