Chapter 3.2, Problem 1PSA

a

To determine

To find:The information required to apply SAS and ASA method of congruency.

Answer to Problem 1PSA

The additional information needed will be

For SAS - $\overrightarrow{PR}\cong \overrightarrow{TS}$

For ASA - $\angle OMK\cong \angle HJG$

Explanation of Solution

Given information : The following information has been given

  $\overrightarrow{OM}\cong \overrightarrow{HJ}$

  $\angle KOM\cong \angle GHJ$

Thus, the additional information needed will be

For SAS - $\overrightarrow{PR}\cong \overrightarrow{TS}$

For ASA - $\angle OMK\cong \angle HJG$

b

To determine

To find:The additional information required to prove the congruency of the given sides.

Answer to Problem 1PSA

The additional information needed will be

For SAS - $\overrightarrow{KO}\cong \overrightarrow{GH}$

For ASA - $\angle PVR\cong \angle TVS$

Explanation of Solution

Given information : The following information has been given

  $\overrightarrow{VP}\cong \overrightarrow{VT}$

  $\angle VPR\cong \angle VTS$

Thus, the additional information needed will be

For SAS - $\overrightarrow{KO}\cong \overrightarrow{GH}$

For ASA - $\angle PVR\cong \angle TVS$

c

To determine

To find:The additional information needed to prove congruency between the triangles.

Answer to Problem 1PSA

The additional information needed will be

For SSS - $\overrightarrow{BZ}\cong \overrightarrow{AX}$

For SAS - $\angle BWZ\cong \angle AYX$

Explanation of Solution

Given information : The following information has been given

  $\overrightarrow{WZ}\cong \overrightarrow{YX}$

  $\overrightarrow{WB}\cong \overrightarrow{YA}$

Thus, the additional information needed will be

For SSS - $\overrightarrow{BZ}\cong \overrightarrow{AX}$

For SAS - $\angle BWZ\cong \angle AYX$