Determine the value of a so that A = 2i+aj+k and B = 4i-2j-2k are perpendicular
1 answer:
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Answer:
1. Trapezoid
2. Kite
3. Square, Rhombus
Step-by-step explanation:
Given - Use the properties of quadrilaterals to complete the statements.
To find - A ..... has exactly one pair of parallel sides.
A ....... must have two pairs of adjacent sides congruent.
A ........ must have all congruent sides.
Proof -
A Trapezoid has exactly one pair of parallel sides.
A Kite must have two pairs of adjacent sides congruent.
A Square, Rhombus must have all congruent sides.
Reason -
- A trapezoid is a quadrilateral with exactly one pair of parallel sides.
- A kite is a quadrilateral with exactly two pairs of adjacent congruent sides.
- A rhombus is a parallelogram with four congruent sides.
- A square can be defined as a rhombus which is also a rectangle . In other words, a square is a parallelogram with four congruent sides and four right angles.
