Analyzing Geometric Figures

Select all of the following that correctly describe the triangles.

• Ⓐ  Both triangles are isosceles.

• Ⓑ Both triangles have a right angle.

• Ⓒ Both triangles are equilateral.

• Ⓓ Both triangles have an obtuse angle.

• Ⓔ Both triangles have two acute angles.

Look at the polygon.

Select all attributes that place this polygon in the rhombus category.

• Ⓐ  It has 2 sets of parallel sides.

• Ⓑ It has 4 right angles.

• Ⓒ It does not have 4 right angles.

• Ⓓ It has 4 sides of equal length.

• Ⓔ It does not have 4 sides of equal length.

1. Select all the shapes that always share the properties in the table.

• square

• quadrilateral

• rhombus

• rectangle

• parallelogram

1. Choose the correct statements below.

• 1. A rectangle is always a square.

• 1. A rectangle is never a trapezoid.

• 1. A rectangle is always a quadrilateral.

• 1. A rectangle is always a parallelogram. 

• 1. A rectangle is sometimes a quadrilateral.

1. Jennifer says she is looking at a triangle with 1 right angle and no equal sides. Select the statement that correctly identifies the triangle Jennifer is describing. 

• 1. The triangle must be an acute equilateral triangle. 

• 1. The triangle must be an acute isosceles triangle. 

• 1. The triangle must be a right equilateral triangle. 

• 2. The triangle must be a right scalene triangle.

Choose the shapes below that have exactly two pairs of parallel sides. 

• 
• 
• 
• 
• 

 Select all the true statements based on the relationship among the triangle within the diagram.

 

• The right triangle is outside of the circles because the other triangles do not have three unequal sides.

• B. The right triangle is outside of the circles because it shares all common attributes with the other triangles.

• C. The right triangle is outside of the circles because it has a right angle.    

• D. The acute triangle and the equilateral triangle share common attributes.

• E. The obtuse triangle and the equilateral triangle share no common attributes.

Examine the Venn diagrams below. Choose the one that is completed correctly.

• 
• 
• 
• 

Select all of the attributes that a triangle in the empty space could have.

• A. No acute angles

• B. One right angle

• C. One obtuse angle

• D. Three sides with different lengths

• E. All sides have equal length and equal angles

Keri drew the chart below. She forgot to label all of the categories. Choose the correct label for the category Keri forgot.

• Pentagons

• Squares

• Triangles

• Rectangles