Graph quadrilateral ABCD. Then determine the most precise name for each quadrilateral.
1. A (0, 5), B (–5, 0), C (0, –5), D (5, 0) (1 point)
square
kite
rectangle
2. A (–4, 4), B (3, 4), C (5, 0), D (–2, 0) (1 point)
square
trapezoid
parallelogram
3. A (6, 10), B (9, 8), C (6, 2), D (3, 8) (1 point)
kite
square
trapezoid
4. A (–3, 5), B (1, 7), C (3, 2), D (–7, –3) (1 point)
parallelogram
trapezoid
rectangle
Select the School Subject carefully. Is it Geometry? At least 10th grade tells us NOTHING and the proper volunteer teacher might never see your post.
Sra
Yes, it's geometry.
Construct square ABCD and square GHIJ explain the answer showing step by step.
To determine the most precise name for each quadrilateral, you can analyze the characteristics of each shape.
1. Quadrilateral ABCD with points A(0, 5), B(–5, 0), C(0, –5), D(5, 0):
To determine the shape, you can use the properties of the sides and angles. In this case, the shape has four congruent sides (all sides have equal length) and four right angles (each angle measures 90 degrees). Therefore, the most precise name for this quadrilateral is a square.
2. Quadrilateral ABCD with points A(–4, 4), B(3, 4), C(5, 0), D(–2, 0):
Again, analyze the properties of the sides and angles. Although this shape does not have congruent sides or right angles, it does have opposite sides that are parallel. Therefore, the most precise name for this quadrilateral is a parallelogram.
3. Quadrilateral ABCD with points A(6, 10), B(9, 8), C(6, 2), D(3, 8):
Examining the properties once more, we can see that this shape does not have congruent sides, right angles, or parallel sides. Nonetheless, it does have two pairs of adjacent sides that are congruent (AB and CD, BC and AD). This property suggests that the shape is a kite.
4. Quadrilateral ABCD with points A(–3, 5), B(1, 7), C(3, 2), D(–7, –3):
Lastly, assess the properties of the sides and angles. This shape has no congruent sides, right angles, or parallel sides. However, the opposite sides are parallel. Therefore, the most precise name for this quadrilateral is a parallelogram.
Overall, the most precise names for the given quadrilaterals are:
1. Square
2. Parallelogram
3. Kite
4. Parallelogram