Testinar Grade 5 math

Properties of Two-Dimensional Figures

Students will identify properties of two-dimensional figures using sides, angles, and parallel lines.

CH10-03 Geometry and Coordinate Plane

Directions Solve each problem. Show your reasoning on the page or on separate paper. Check the answer key only after finishing.

Look at the shapes below. Which shape has two pairs of parallel sides, all sides the same length, and no right angles?
1. Shape A
2. Shape B
3. Shape C
4. Shape D
How many right angles does a rectangle have?
1. \(0\)
2. \(2\)
3. \(3\)
4. \(4\)
Which polygon is a regular polygon?
1. A
2. B
3. C
4. D
Look at the parallelogram below. How many pairs of parallel sides does it have?
1. \(0\)
2. \(1\)
3. \(2\)
4. \(3\)
Which marked non-square shape has all sides of equal length?
1. A
2. B
3. C
4. D
Which description identifies a quadrilateral that is not a parallelogram?
1. A quadrilateral with four right angles
2. A quadrilateral with all sides equal
3. A quadrilateral with exactly one pair of parallel sides
4. A figure with five sides
Which polygon has 8 sides and 8 vertices?
1. Pentagon
2. Hexagon
3. Octagon
4. Nonagon
Use the markings in the figures. Which shape has no parallel sides and no right angles?
1. A
2. B
3. C
4. D

Teacher and parent reference

Answer key and explanations

C. Shape C
Shape C is a rhombus. It has two pairs of parallel sides, all sides the same length, and no right angles.
D. \(4\)
A rectangle has 4 right angles (one at each corner). All angles measure 90 degrees.
D. D
A regular polygon has all sides of equal length and all angles of equal measure. The hexagon (D) is regular.
C. \(2\)
A parallelogram has 2 pairs of parallel sides. The red arrows show one pair; the blue arrows show the other.
D. D
A square also has all sides equal, but the question asks for the non-square shape. The matching tick marks show the rhombus (D) has all four sides the same length, while its angles are not all right angles.
C. A quadrilateral with exactly one pair of parallel sides
A figure with four sides is a quadrilateral. The phrase "exactly one pair of parallel sides" describes the needed attribute without relying on a state-specific trapezoid definition.
C. Octagon
An octagon has 8 sides and 8 vertices. (A pentagon has 5, a hexagon has 6, a nonagon has 9.)
A. A
Figure A is a triangle with no parallel sides and no right angle. Figures B, C, and D do not match both conditions.