Geometry Bridge Congruence Formative v2 PDF Practice Questions

Geometry Bridge Name ________________________________ G.CO.8 Prove Congruence (A) Date ___________________ Period _______ Determine if there is enough information to prove the triangles congruent. If yes, identify SSS, SAS, ASA, AAS or HL. Th...

Geometry Bridge Name ________________________________ G.CO.8 Prove Congruence (A) Date ___________________ Period _______ Determine if there is enough information to prove the triangles congruent. If yes, identify SSS, SAS, ASA, AAS or HL. Then, write the congruency statement. 1. 2. Congruent? No / Yes Congruent? No / Yes by _________ by _________ ∆BAD ≅ _________________ ∆COD ≅ _________________ 3. 4. Congruent? No / Yes Congruent? No / Yes by _________ by _________ ∆COS ≅ _________________ ∆RET ≅ _________________ 5. If ∆FAT ≅ ∆DOG by ASA Triangle Congruence, what is the missing congruent part? Use the given information and the triangles below to label and mark the information. Given: 𝐅𝐀 ̅̅̅̅ and ∠F ≅ ∠D. ̅̅̅̅̅ ≅ 𝐃𝐎 Missing: 6. If ∆𝑃𝑄𝑅 ≅ ∆𝑆𝑇𝑈, complete each part. Show your work: a. ST = _________ b. SU = ________ c. m∠𝑅 = ________ d. m∠𝑄 = ________ e. m∠𝑆 = ________ 7. Draw and label a figure to represent the congruent triangles. Then find the values of x and y. ΔLMN ≅ ΔRST, m∠L = 49°, m∠M = (10y)°, m∠S = 70°, and m∠T = (4x + 9)° 8. Monica and David are evaluating the congruent figures at the right. Monica says that ΔCAB ≅ ΔZYX, and David says that ΔABC ≅ ΔYXZ. Is either of them correct? Explain your reasoning.  Geometry Bridge Name __________________________ G.CO.8 Prove Congruence (B) Date __________ Period _______ Determine if there is enough information to prove the triangles congruent. If yes, identify SSS, SAS, ASA, AAS or HL. Then, write the congruency statement. 1. 2. Congruent? No / Yes Congruent? No / Yes by _________ by _________ ∆IPA ≅ _________________ ∆BOI ≅ _________________ 3. 4. Congruent? No / Yes Congruent? No / Yes by _________ by _________ ∆COD ≅ _________________ ∆𝐶𝑂𝑆 ≅ _________________ 5. If ∆FAT ≅ ∆DOG by AAS Triangle Congruence, what is the missing congruent part? Use the given information and the triangles below to label and mark the information. Given: 𝐅𝐀 ̅̅̅̅ and ∠F ≅ ∠D. ̅̅̅̅̅ ≅ 𝐃𝐎 Missing: 6. If ∆𝑃𝑄𝑅 ≅ ∆𝑆𝑇𝑈, complete each part. Show your work: a. ST = _________ b. SU = ________ c. m∠𝑅 = ________ d. m∠𝑄 = ________ 85o e. m∠𝑆 = ________ 7. Draw and label a figure to represent the congruent triangles. Then find the values of x and y. ΔJKL ≅ ΔMNP, JK = 12, LJ = 5, PM = 2x‒ 3, m∠L = 67°, m∠K = (y + 4)°, and m∠N = (2y ‒ 15)° 8. Mario and Delilah are evaluating the congruent figures at the right. Mario says that ΔCAB ≅ ΔZYX, and Delilah says that ΔABC ≅ ΔXYZ. Is either of them correct? Explain your reasoning.