Match the following:a. When two variables change in the same direction, one remaining larger than the other by the same factor b
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The two triangles with the given perimeter is attached .
Perimeter is the sum of all sides.
For the first triangle , sies are 2a,2a and b.
So the perimeter is
For the second triangle, sides are a,a, and 2a+b. Therefore perimeter is
So for both triangles, perimeter is
A good place to start for this question is to define the properties of the geometric terms you are given.
Quadrilaterals have four straight sides.
Parallelograms are quadrilaterals that have two pairs of parallel sides. The opposite sides and opposite angles are congruent. Squares, rectangles, and rhombuses are examples of parallelograms.
Trapezoids are also quadrilaterals. They have only one pair of parallel sides.
So we're looking to see if there are any four-sided shapes that can be made with no parallel sides. The attached picture shows an example of a quadrilateral that is not a parallelogram and is not a trapezoid. Based on these properties of polygons, the correct answer is B.
Quadrilaterals have four straight sides.
Parallelograms are quadrilaterals that have two pairs of parallel sides. The opposite sides and opposite angles are congruent. Squares, rectangles, and rhombuses are examples of parallelograms.
Trapezoids are also quadrilaterals. They have only one pair of parallel sides.
So we're looking to see if there are any four-sided shapes that can be made with no parallel sides. The attached picture shows an example of a quadrilateral that is not a parallelogram and is not a trapezoid. Based on these properties of polygons, the correct answer is B.