Question

three figures are shown. which statement about the figures is true? each figure has at least one pair of parallel sides. each figure has at least one obtuse angle. each figure has one pair of perpendicular sides. each figure has all sides of equal length.

Explanation:

Step1: Analyze the first option

The first figure (a trapezoid) has one pair of parallel sides, the second figure (a rhombus) has two pairs of parallel sides, and the third figure (an isosceles triangle) has no parallel sides. So this option is false.

Step2: Analyze the second option

The first figure (a trapezoid) can have an obtuse - angle, the second figure (a rhombus) can have obtuse - angles, and the third figure (an isosceles triangle) can have an obtuse - angle. So this option is true.

Step3: Analyze the third option

The first figure (a trapezoid) may not have perpendicular sides, the second figure (a rhombus) may not have perpendicular sides (unless it is a square), and the third figure (an isosceles triangle) may not have perpendicular sides. So this option is false.

Step4: Analyze the fourth option

The first figure (a trapezoid) does not have all sides of equal length, the second figure (a rhombus) has all sides of equal length, but the third figure (an isosceles triangle) does not have all sides of equal length (except when it is equilateral). So this option is false.

Answer:

Each figure has at least one obtuse angle.