Answer:
Isosceles trapezoid
Step-by-step explanation:
1)By definition, an isosceles trapezoid has two congruent sides and four vertices. According to the given coordinate points, what we have is an isosceles trapezoid. Graphically, we can say that:
[tex]\overline{AD} \cong \overline BC[/tex]
2) Proving with Analytical Geometry that
[tex]\overline{AD} \cong \overline BC[/tex]
[tex]D_{BC}=\sqrt{(1-4)^{2}+(7-5)^{2}}\Rightarrow D_{BC}=\sqrt{9+4}\Rightarrow D_{BC}=\sqrt{13}\cong3.61\\D_{AD}=\sqrt{(1-4)^{2}+(0-2)^{2}}\Rightarrow D_{AD}=\sqrt{9+4}\Rightarrow D_{AD}=\sqrt{13}\cong3.61[/tex]
