85.9k views
0 votes
Given the set of points as vertices of quadrilateral QRST, determine whether it is a rhombus, a rectangle, or a square. Choose all that apply.

a) Rhombus
b) Rectangle
c) Square

User Arbogastes
by
8.5k points

1 Answer

3 votes

Final answer:

To classify QRST, measure the sides and angles to see if it's a rhombus (equal sides), rectangle (right angles), or square (equal sides and right angles).

Step-by-step explanation:

To determine whether a quadrilateral is a rhombus, rectangle, or square, you need to consider the lengths of its sides and the measures of its angles. A rhombus has all sides of equal length but does not necessarily have right angles. A rectangle has right angles but does not necessarily have all sides of equal length. A square has the properties of both a rhombus and a rectangle; it has all sides of equal length and all angles are right angles. To classify the quadrilateral QRST, you would need to measure the lengths of the sides to ensure they are all equal and check the angles to confirm they are all 90 degrees. If both conditions are met, then QRST is a square. If only the sides are equal and the angles are not right angles, it's a rhombus. If the angles are right angles but the sides are not equal, it's a rectangle.

To determine whether a quadrilateral is a rhombus, rectangle, or square, we need to examine its properties.A rhombus has all four sides of equal length. If the quadrilateral has all four sides equal, then it is a rhombus.A rectangle has four right angles. If the quadrilateral has four right angles, then it is a rectangleA square has both four equal sides and four right angles. If the quadrilateral has both, then it is a square.By examining the given set of points as the vertices of quadrilateral QRST, we can determine whether it is a rhombus, rectangle, or square by checking if it meets the conditions mentioned above.

User Joby Kurian
by
7.9k points