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Use your notes to help you practice these problems. Show all of your work needed for each question.
Use your notes to help you practice these problems. Show all of your work needed for each question.
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.
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≅
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=
3. Given ΔRWS ≅ ΔTUV, find the values of x and y. * Show all of your work for full credit. *
x=
y=
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
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
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
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
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
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
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
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
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.
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: