Question

In parallelogram pqrs with 2 diagonals pr and qs intersecting at point t, segment pt is labeled (a + 4) units, segment rt is labeled 2a units, segment qt is labeled b units, and segment st is labeled (2b - 3) units. Match each element to its value.

1) Length of pr
2) Length of qs
3) Length of pt
4) Length of rt
5) Length of qt
6) Length of st

Answer 1

In a parallelogram PQRS, we can find the length of PR by adding the lengths of PT and RT. The length of QS can be found by adding the lengths of QT and ST. The lengths of PT, RT, QT, and ST are given by the question.

Step-by-step explanation:

In a parallelogram PQRS, with diagonals PR and QS intersecting at point T, the given segment lengths are:

1. Length of PT = a + 4 units
2. Length of RT = 2a units
3. Length of QT = b units
4. Length of ST = 2b - 3 units

Based on this information, we can match each element to its value:

1. Length of PR = Length of PT + Length of RT = (a + 4) + 2a = 3a + 4 units
2. Length of QS = Length of QT + Length of ST = b + (2b - 3) = 3b - 3 units
3. Length of PT = a + 4 units
4. Length of RT = 2a units
5. Length of QT = b units
6. Length of ST = 2b - 3 units