Problem 1: Nancy wrote a proof about the figure shown below. In the proof below, Nancy started with the fact that XZ is a perpendicular bisector of WY and proved that is isosceles. ∆WYZ Which of the following correctly replaces the question mark in Nancy’s proof? ASA SAA SAS SSS Answer: C Problem 2: Samuel wrote a proof about the figure below. In proof below he started with angle B being congruent to angle D and proved that Samuel’s is congruent to ∆ABC ∆EDC. It is given that angle B is congruent to angle D. By the converse of the Base Angle Theorem, AC is congruent to EC. By the Vertical Angle Theorem, angle BCA is congruent to angle DCE. is congruent to by the ? Congruence ∆ABC ∆EDC Theorem. Which of the following correctly replaces the question mark in Samuel’s proof? SSS AAS SAS ASA Answer: B Problem 3: Cui wrote a proof about the figure below.
Problem 1: Nancy wrote a proof about the figure shown below. In the proof below, Nancy started with the fact that XZ is a perpendicular bisector of WY and proved that ∆WYZ is isosceles. Which of the following correctly replaces the question mark in Nancy’s proof? ASA SAA SAS SSS Answer: C Problem 2: Samuel wrote a proof about the figure below. In Samuel’s proof below he started with angle B being congruent to angle D and proved that ∆ABC is congruent to ∆EDC. It is given that angle B is congruent to angle D. By the converse of the Base Angle Theorem, AC is congruent to EC. By the Vertical Angle Theorem, angle BCA is congruent to angle DCE. ∆ABC is congruent to ∆EDC by the ? Congruence Theorem. Which of the following correctly replaces the question mark in Samuel’s proof? SSS AAS SAS ASA Answer: B Problem 3: Cui wrote a proof about the figure below.
Geometry%20Item%20Bank%20with%20answers_08152011.docx