Copy of Copy of IM 1 SS22 Day 9: Congruent Triangles (5/2/2024) (5/6/2024) (7/21/2024)

Last updated 16 days ago

14 questions

Required

Copy of Copy of IM 1 SS22 Day 9: Congruent Triangles (5/2/2024) (5/6/2024) (7/21/2024)

Last updated 16 days ago

14 questions

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.

Concept Review: Reflections

Required

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.

Concept Review: Proving Triangles Congruent

Required

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≅△_______ 

Required

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≅△_______ 

Required

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 ≅△_______ 

Required

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≅△_______ 

Required

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≅△_______ 

Required

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≅△_______ 

Required

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 ≅△_______ 

Required

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≅△_______ 

Main Idea: Congruent Triangles

Required

Given △KPM≅△AYC, complete each of the following statements.

KM≅_______ 
CY≅_______ 
PK≅_______ 
∠Y≅∠_______ 
∠K≅∠_______ 
∠ACY≅∠_______ 

Complete each equivalency statement.
△MPK≅△_______ 
△YAC≅△_______ 

Required

Given △STW≅△BFN, find each missing measure.
BN=_______ 
TW=_______ 
BF=_______ 
m∠W=_______ 
m∠B=_______ 
m∠F=_______ 

Complete each equivalency statement.

△WTS≅△_______ 
△FNB≅△_______ 

Required

Given △GHJ≅△XYZ, find each missing measure.
GJ=_______ 
XY=_______ 
ZY=_______ 
m∠H=_______ 
m∠Z=_______ 
m∠J=_______  

Complete each equivalency statement.

△HJG≅△_______ 
△ZXY≅△_______ 

Required

Given △UVW≅△TSR, find the values of x, y, and z.
x=_______ 
y=_______ 
z=_______ 

Required

Given △PHS≅△CNF, find the values of x, y, and z.
x=_______ 
y=_______ 
z=_______ 