by BlastRoom
Practice filling missing statements and reasons in short triangle congruence proofs.
#geometry

20 questions
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Proof table for triangles ABD and CBD: Step 2 is BD ≅ BD. Step 3 proves triangle ABD ≅ triangle CBD by SAS. What reason justifies Step 2?

In a proof about triangles AMB and CMB, the given is that M is the midpoint of AC. Step 2 states that AM is congruent to MC. What reason justifies Step 2?

Proof table for triangles ABD and CBD: given BD bisects angle ABC. Step 2 is angle ABD ≅ angle DBC. What reason justifies Step 2?

In a proof about triangles ACD and BCD, the given is that CD is the perpendicular bisector of AB. Step 2 states that AD is congruent to DB. What reason justifies Step 2?

Proof table for triangles ABC and DEF: Step 1 is angle A ≅ angle D and Step 2 is angle B ≅ angle E. Step 3 is angle C ≅ angle F. What reason justifies Step 3?

After proving angle ACD and angle BCD are right angles, a table states angle ACD ≅ angle BCD. What reason justifies that congruence?

A proof will show triangle ABD ≅ triangle CBD by SAS. It has AB ≅ CB and angle ABD ≅ angle CBD. What statement is still needed?

For SSS, a proof of triangle AMB ≅ triangle CMB has AM ≅ CM and AB ≅ CB. What missing statement supplies the shared side?

A proof will use ASA to prove triangle PQR ≅ triangle TSR. It has angle PQR ≅ angle TSR and QR ≅ SR. What angle statement is needed?
To prove triangle JKL ≅ triangle MNL by AAS, the table has JK ≅ MN and angle KJL ≅ angle NML. What second angle statement is needed?
A proof will use HL for right triangles ABC and ADC. It has angle ABC and angle ADC right, and AB ≅ AD. What hypotenuse statement is needed?

To use SAS for triangle EFG ≅ triangle HGF, the proof has EF ≅ HG and angle EFG ≅ angle HGF. What shared-side statement is needed?

Proof table before the final step: AB ≅ DE, BC ≅ EF, and AC ≅ DF. What reason proves triangle ABC ≅ triangle DEF?

A proof has AB ≅ DE, angle ABC ≅ angle DEF, and BC ≅ EF. What criterion proves triangle ABC ≅ triangle DEF?

A proof has angle A ≅ angle D, AB ≅ DE, and angle B ≅ angle E. What criterion proves triangle ABC ≅ triangle DEF?

Before the congruence line, a proof has angle A ≅ angle D, angle C ≅ angle F, and AB ≅ DE. What criterion proves triangle ABC ≅ triangle DEF?

Right triangles RST and XYZ have right angles at S and Y, RT ≅ XZ, and ST ≅ YZ. What criterion proves triangle RST ≅ triangle XYZ?

After proving triangle PQR ≅ triangle XYZ, a proof needs the corresponding side for QR. What CPCTC statement follows?
After proving triangle ABC ≅ triangle DEF, a proof needs the corresponding angle for angle B. What CPCTC statement follows?
After proving triangle LMN ≅ triangle RST, the final goal is a side statement about LN. What CPCTC statement follows?
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The Triangle Midsegment Theorem
40 questions