Geometry Section 4.7

Geometry Section 4.7

Proving overlapping triangles congruent

Multiple Choice

Name a pair of overlapping triangles.

• triangle BAD and triangle SAD

• triangle BXA and triangle SXD

• triangle AXD and triangle BXS

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​Draw and label the two overlapping triangles separately

Draw

Draw and label the overlapping triangles and mark the shared side or angle congruent.

Multiple Choice

Name the side or angle shared by the two overlapping triangles.

• segment AD

• angle BXA and angle SXD

• angle DAS and angle ADB

• segment XD

• Segment XA

Multiple Select

NAME A PAIR OF OVERLAPPING TRIANGLES.

• Triangle CXP and Triangle SXO

• Triangle CXS and Triangle PXO

• Triangle CSP and Triangle POC

• Triangle CSO and Triangle POS

Multiple Choice

For triangles CSP and POC, name the shared side or angles?

• segment CP

• Angle C

• Angle P

• Side SO

Multiple Choice

For triangles COS and PSO, name the shared side or angles.

• segment CP

• Angle C

• Angle P

• Side SO

Multiple Choice

Based on the given information which triangles could you prove congruent first?

• $$\Delta UST\cong\Delta WST$$

• $$\Delta VUT\cong\Delta VWT$$

• $$\Delta VUS\cong\Delta VWS$$

Multiple Choice

Based on the given information what did you use to prove the first pair of triangles congruent?

• SSS

• SAS

• ASA

• AAS

• HL

Multiple Choice

Which triangles have sides TU and TW and also overlap with the triangles we've just proven congruent?

• $$\Delta UST\ \&\ \Delta WST$$

• $$\Delta VUT\ \&\ \Delta VWT$$

• $$\Delta VUS\ \&\ \Delta VWS$$

Multiple Choice

Which overlapping parts of the two triangles TUV and TWV are now congruent by CPCTC?

• UV = VW

• US = SW

• SV = SV

• Angle 1 = Angle 2

Multiple Choice

Based on the given information what did you use to prove the triangles congruent?

• SSS

• SAS

• ASA

• AAS

• CPCTC

Multiple Choice

Now that you've proven the triangles congruent what do we use to prove TU = TW?

• SSS

• SAS

• ASA

• AAS

• CPCTC

​Statements Reasons

Formative practice 4.7

​Homework 4.7