Chapter 1.5, Problem 1PSA

a.

To determine

To Find: The congruent segments.

Answer to Problem 1PSA

  $\overline{AD}\text{and }\overline{BC}$

Explanation of Solution

Given:

  

O is the mid-point of the CD.

Concept Used:

Diameters of a circle passes through the centre of thee circle and are equal in length.

Calculation:

Since, in a circle diameters passes through the centre of thee circle and are equal in length.

Here, $\overline{AD}\text{and }\overline{BC}$ are the diameters of the circle passes through the centre O of thee circle and are equal in length.

Thus, these are the congruent segments.

Conclusion:

  $\overline{AD}\text{and }\overline{BC}$

b.

To determine

To Find: The congruent segments.

Answer to Problem 1PSA

  $\overline{XW}\cong \overline{WV}$

Explanation of Solution

Given:

  

  $\overline{SW}\text{bisects }\overline{XV}$

Concept Used:

Bisector divides the sides into two equal parts.

Calculation:

Since ,here bisector divides the sides into two equal parts, i.e., $\overline{SW}\text{bisects }\overline{XV}$

  $\overline{XW}\cong \overline{WV}$

Conclusion:

  $\overline{XW}\cong \overline{WV}$