Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

the diagonals of a rectangle are always select one: a. equal to each ot…

Question

the diagonals of a rectangle are always
select one:
a. equal to each other
b. bisectors of the angles though which they pass
c. perpendicular to each other

two consecutive angles of a parallelogram are always
select one:
a. equal
b. complementary
c. supplementary

Explanation:

Brief Explanations

For the first question: By the definition and properties of a rectangle, its diagonals are congruent (equal in length). Angle bisecting and perpendicular diagonals are properties of rhombuses/squares, not all rectangles.
For the second question: In a parallelogram, consecutive angles are same-side interior angles formed by a transversal cutting two parallel sides, so their sum is 180 degrees, meaning they are supplementary. Equal angles are opposite angles, and complementary angles sum to 90 degrees, which does not apply here.

Answer:

  1. a. equal to each other
  2. c. supplementary