Question

b. a rectangle has 2 pairs of parallel sides.
c. any 2 sides of a rectangle are congruent.
d. corresponding parts of congruent figures are congruent.

1. complete the following:

write t for true or f for false.

1. segments that are congruent have the same length.
2. polygons that are congruent have the same shape but are not always the same size.
3. in congruent figures, corresponding angles have the same measure.
4. in the figure triangle jts is a translation of triangle hij using the directed

congruent sides and congruent angles in the diagram.

Explanation:

Step1: Check statement 1

By the definition of congruent segments, congruent segments have the same length. So statement 1 is True.

Step2: Check statement 2

Congruent polygons must have the same shape and size. Just having the same shape is not enough for polygons to be congruent. So statement 2 is False.

Step3: Check statement 3

A translation is a rigid transformation. Rigid transformations preserve side - lengths and angle - measures. So if \(\triangle JTS\) is a translation of \(\triangle HIJ\), then they are congruent. Congruent triangles have congruent sides and congruent angles.

Answer:

1. \(T\)
2. \(F\)
3. \(T\)