11.4 Problem Solving • Properties of Two–Dimensional Figures

Pierre uses a sheet of printer paper for origami. How can he check if the paper is a rectangle?

• Use a square corner to see if the paper has four right angles.

• Fold the paper in half both ways to see if the opposite sides are congruent.

• Both A and B

• Neither A nor B

Use Math Language

Meaghan has drawn and cut out triangle LMN. She folds side LM to side MN and they match evenly. She folds side MN to side NL and they do not match evenly. Which of these describes Meaghan’s triangle?

• scalene triangle

• equilateral triangle

• isosceles triangle

• right triangle

Multi-Step

Bethany uses six congruent equilateral triangles to create a polygon. Which of the following describes the polygon she creates?

• regular pentagon

• regular hexagon

• square

• regular triangle

Which figure below is a quadrilateral that has opposite sides that are congruent and parallel?

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• 
• 
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A regular octagon has total perimeter of 24 inches. What is the length of one side of the octagon?

• 8 inches

• 1 inch

• 4 inches

• 3 inches

Adolfo drew a quadrilateral. He says at least one of the angles is acute. Which polygon could Adolfo have drawn?

• parallelogram

• square

• rectangle

• isosceles triangle

Classify the polygon named MNPR in the figure below

• trapezoid

• triangle

• rectangle

• parallelogram

Which describes the quadrilateral?

• 2 pairs of parallel sides

• 2 pairs of perpendicular sides

• 1 pair of parallel sides

• no pairs of parallel sides

Multi-Step

Veronica folded an equilateral triangle in half and cut along the fold to make two congruent figures. What figures did she make?

• two scalene right triangles

• a triangle and a trapezoid

• two isosceles acute triangles

• two equilateral triangles

Multi-Step

Rocco places four congruent squares side by side in a row. The length of one side of a square is 2 cm. What is the perimeter and the area of the larger rectangle Rocco makes?

• P = 32 cm; A = 16 sq cm

• P = 20 cm; A = 8 sq cm

• P = 10 cm; A = 4 sq cm

• P = 20 cm; A = 16 sq cm