Classify Two-Dimensional Figures in a Hierarchy

This graphic organizer is being used to classify triangles based on their angle measures or side lengths. Which list shows all of the ways this triangle could be classified?

• Acute only

• Equilateral only

• Acute and isosceles only

• Acute, isosceles, and equilateral only

Which shape is NOT sorted correctly in the graphic organizer?

• Circle

• Pentagon

• Quadrilateral

• Triangle

The graphic organizer shown can be used to classify triangles. Which triangle can be classified as scalene?

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A student used this graphic organizer to classify different figures. Which figures belong in the part of the organizer labeled “Isosceles triangles”?

• Figures II and V only

• Figures I, III, and V only

• Figures I and III only

• Figures II, IV, and V only

Gerard classified shapes based on the types of angles they had. The table shows her classifications. Which shape was not classified correctly?

• Shape 4

• Shape 5

• Shape 7

• Shape 9

Nathan built the hanging mobile shown in the picture to show some relationships among shapes. Which shape goes in the empty box in order to complete Nathan’s mobile?

• Trapezoid

• Rhombus

• Triangle

• Quadrilateral

In the diagram shown each circle represents a group of polygons. If a polygon belongs in a circle, it also belongs in any larger circle. Which kind of polygon belongs in the shaded circle?

• Trapezoids

• Squares

• Pentagons

• Rhombuses

This Venn diagram is being used to classify two types of quadrilaterals. Which type of figure will always belong in the shaded section of this Venn diagram?

• Rectangle

• Rhombus

• Square

• Trapezoid

Elizabeth is making a mobile that lists quadrilaterals. What is the name of the subset of quadrilaterals missing from Elizabeth’s mobile?

• Hexagon

• Triangle

• Parallelogram

• Triangle

This Venn diagram shows the relationship between some types of triangles.

Which triangle belongs in the intersection of “Acute triangles” and “Isosceles triangles”?

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