Congruent Figures & Corresponding Parts

Congruent Figures & Corresponding Parts

​Any two congruent figures can be mapped onto one another using a series of rigid or isometric transformation (reflections, rotations, and translations).

Multiple Choice

The following pairs of triangles are congruent. Provide a suggested transformation or series of transformations that can map one triangle onto the other congruent triangle. (In each diagram $$\Delta ABC\cong\Delta DEF$$   )

• translation

• rotation

• reflection

• translation and then reflection

Multiple Choice

The following pairs of triangles are congruent. Provide a suggested transformation or series of transformations that can map one triangle onto the other congruent triangle. (In each diagram $$\Delta ABC\cong\Delta DEF$$   )

• translation

• rotation

• reflection

• translation and then reflection

Multiple Choice

The following pairs of triangles are congruent. Provide a suggested transformation or series of transformations that can map one triangle onto the other congruent triangle. (In each diagram $$\Delta ABC\cong\Delta DEF$$   )

• translation

• rotation

• reflection

• translation and then reflection

Multiple Choice

The following pairs of triangles are congruent. Provide a suggested transformation or series of transformations that can map one triangle onto the other congruent triangle. (In each diagram $$\Delta ABC\cong\Delta DEF$$   )

• translation only

• rotation

• reflection

• translation and then reflection

• reflection and then dilation

Multiple Select

Match each triangle in the first column with its congruent triangle in the second column.

• Triangle 1 congruent to Triangle a

• Triangle 1 congruent to Triangle b

• Triangle 2 congruent to Triangle c

• Triangle 3 congruent to Triangle a

• Triangle 3 congruent to Triangle b

Multiple Select

Triangle ABC is congruent to Triangle XYZ; therefore, all corresponding parts are congruent. Select all the proper congruence statements.

• Side AB congruent to XY, side BC congruent to XZ, side AC congruent to YZ.

• Side AB congruent to XY, side BC congruent to YZ, side AC congruent to XZ.

• <A congruent to <C, <X congruent to <Z, <B congruent to <Y.

• <A congruent to <X, <B congruent to <Y, <C congruent to <Z.

Multiple Select

Using the figure and the congruence statement: Triangle ABC is congruent to Triangle XYZ, select all the correct angle measures.

• m<A = 63

• m<A = 80

• m<B = 37

• m<B = 63

• m<B = 80

Multiple Select

Using the figure and the congruence statement: Triangle ABC is congruent to Triangle XYZ, select all the correct angle measures.

• m<X = 37

• m<X = 63

• m<X = 80

• m<Z = 37

• m<Z = 63

Multiple Select

Using the figure identify all the correct congruence statements for the triangles

• $$\Delta KIJ\cong\Delta STR$$  

• $$\Delta IKJ\cong\Delta TRS$$  

• $$\Delta IKJ\cong\Delta TSR$$  

• $$\Delta KIJ\cong\Delta RST$$  

• $$\Delta IJK\cong\Delta TSR$$  

Multiple Select

Using the figure, complete the correct congruence statement

•  VL

•  VM

•  LM

•  MV

•  LV

Fill in the Blank

Each of the following pairs of figures shown below are congruent. Complete the congruence statement for $$\Delta ABC\cong\Delta---$$  (use all CAPS)

Fill in the Blank

Each of the following pairs of figures shown below are congruent. Complete the congruence statement for $$ABCD\cong----$$  (use all CAPS)

Fill in the Blank

Each of the following pairs of figures shown below are congruent. Complete the congruence statement for $$\Delta ABC\cong\Delta---$$  (use all CAPS)

Fill in the Blank

Each of the following pairs of figures shown below are congruent. Complete the congruence statement for $$\Delta ABC\cong\Delta---$$  (use all CAPS)

Multiple Choice

Triangle PQR is congruent to Triangle STU. Use this congruence statement and the figure to find the m<U.

• 27

• 36

• 107

• 117

• Not enough information

Multiple Choice

Extending your thinking.....

Quadrilateral EFGH is congruent to Quadrilateral JKLM. Find the m<M if the sum of a quadrilateral is 360 degrees.

• m<M = 56 degrees

• m<M = 73 degrees

• m<M = 112 degrees

• m<M = 119 degrees

• Not enough information