Show all work necessary to solve each problem.
Question 1. Use the following diagram to complete the proof.
Given: ST‾ ≅ VU‾, SV‾ ≅ TU‾
Prove: ∠S ≅ ∠U
Question 2. Use the following diagram to complete the proof.
Given: ∠B ≅ ∠D, ∠DAE ≅ ∠BEA
Prove: ΔABC ≅ ΔEDC
Question 3. Determine if the congruence statement ΔDEG ≅ ΔFGE is valid given the following diagram. If it is valid, explain how you know. If the congruence statement is not valid, explain what is incorrect or what else you would need to know for the statement to be valid.
Question 4. Determine if the congruence statement is valid given the following diagram. If it is valid, explain how you know. If the congruence statement is not valid, explain what is incorrect or what else you would need to know for the statement to be valid.
Question 5. Use the following diagram to complete the proof.
Given: m∠ADB = m∠CDB = 90° and AB‾ ≅ BC‾
Prove: ΔABD ≅ ΔCBD
Question 6. Use the following diagram to find m∠C.
Question 7. Find the values of x and y in the following diagram
Question 8. Given in the following diagram that C is the midpoint of AE‾, and C is the midpoint of DB‾, prove ΔACB ≅ ΔECD.
