Essential Question: How does the concept of CPCTC (Corresponding Parts of Congruent Triangles are Congruent) help us understand the relationships between triangles in geometry?
Learning Target: Students will be able to apply the concept of CPCTC to demonstrate that corresponding parts of congruent triangles are congruent, and use this understanding to solve problems involving triangle congruence.
Show your work for full credit.
Graph and label each figure and its image under a reflection in the given line. Give the coordinates of the image. Be sure your answer is in coordinate form (x,y). No spaces
F'
G'
H'
Protip: Transform the points first then graph them.
State whether the triangles can be proven congruent, if possible, by SSS or SAS. Include a congruency statement for all congruent triangles.
Are they congruent using SSS or SAS? Or not congruent?
If possible write a congruency statement. If not write n/a in both blanks.
△CEF≅△
State whether the triangles can be proven congruent, if possible, by SSS or SAS. Include a congruency statement for all congruent triangles.
Are they congruent using SSS or SAS? Or not congruent?
If possible write a congruency statement. If not write n/a in both blanks.
△USV≅△
State whether the triangles can be proven congruent, if possible, by SSS or SAS. Include a congruency statement for all congruent triangles.
Are they congruent using SSS or SAS? Or not congruent?
If possible write a congruency statement. If not write n/a in both blanks.
△DAJ ≅△
State whether the triangles can be proven congruent, if possible, by SSS or SAS. Include a congruency statement for all congruent triangles.
Are they congruent using SSS or SAS? Or not congruent?
If possible write a congruency statement. If not write n/a in both blanks.
△KCP≅△
State whether the triangles can be proven congruent, if possible, by SSS or SAS. Include a congruency statement for all congruent triangles.
Are they congruent using SSS or SAS? Or not congruent?
If possible write a congruency statement. If not write n/a in both blanks.
△BAC≅△
State whether the triangles can be proven congruent, if possible, by SSS or SAS. Include a congruency statement for all congruent triangles.
Are they congruent using SSS or SAS? Or not congruent?
If possible write a congruency statement. If not write n/a in both blanks.
△JKM≅△
State whether the triangles can be proven congruent, if possible, by ASA, AAS, or HL. Include a congruency statement for all congruent triangles.
Are they congruent using ASA, AAS, or HL? Or not congruent?
If possible write a congruency statement. If not write n/a in both blanks.
△DCB ≅△
State whether the triangles can be proven congruent, if possible, by ASA, AAS, or HL. Include a congruency statement for all congruent triangles.
Are they congruent using ASA, AAS, or HL? Or not congruent?
If possible write a congruency statement. If not write n/a in both blanks.
△ YXZ≅△
Given △KPM≅△AYC, complete each of the following statements.
KM≅
CY≅
PK≅
∠Y≅∠
∠K≅∠
∠ACY≅∠
Complete each equivalency statement.
△MPK≅△
△YAC≅△
Given △STW≅△BFN, find each missing measure.
BN=
TW=
BF=
m∠W=
m∠B=
m∠F=
Complete each equivalency statement.
△WTS≅△
△FNB≅△
Given △GHJ≅△XYZ, find each missing measure.
GJ=
XY=
ZY=
m∠H=
m∠Z=
m∠J=
Complete each equivalency statement.
△HJG≅△
△ZXY≅△
Given △UVW≅△TSR, find the values of x, y, and z.
x=
y=
z=
Given △PHS≅△CNF, find the values of x, y, and z.
x=
y=
z=