Quadrilateral ABCD is a rhombus. suppose measure of angle A decreases. Which of the following changes woukd also need to happen

Question

zheka24 [161]

2 years ago

13

Quadrilateral ABCD is a rhombus. suppose measure of angle A decreases. Which of the following changes woukd also need to happen

in order for ABCD to still be a rhombus

Mathematics

2 answers:

Harlamova29_29 [7] · Answer 1 · 2022-01-03T19:08:41+03:00

Harlamova29_29 [7]2 years ago

6 0

Assuming the side lengths did not change, ...

Angle C would need to decrease by the same amount.
Angles B and D would each need to increase by the amount angle A decreased.

ad-work [718] · Answer 2 · 2022-01-03T21:27:21+03:00

Answer:

Step-by-step explanation:

Given that quadrilateral ABCD is a rhombus. Given that angle A decreases.

Since nothing is mentioned about the side of the rhombus, we see that side is not changing.

When angle A decreases, since opposite angles are congruent we must have equal decrease in C

Also opposite sides are parallel in a rhombus, hence adjacent angles are supplementary.

i.e. Whenever A decreases by a quantity say p, then B and D, the adjacent angles must increase by same quantity p so that the parallel lines property is preserved in the rhombus.