Geometry and the Coordinate Plane: math test, Grade 5 – download the PDF

1 The coordinate plane / 4 pts

Use the figure.

1. Write the ordered pairs of E, F, G and H. (2 points)
2. Which point is on the y-axis? (1 point)
3. How many units above the x-axis is F? (1 point)

2 The scout hike / 4 pts

A scout walks from camp \((1, 1)\) to the river \((1, 6)\), then to the ridge \((5, 6)\), then to the cabin \((5, 2)\). Each unit is half a mile.

1. How many units is each of the three parts? (1.5 points)
2. How many miles does she walk in all? (1 point)
3. Which parts are parallel? Which parts are perpendicular? (1.5 points)

3 Name the quadrilateral / 4 pts

Give the most specific name for each quadrilateral. (1 point each)

1. 4 equal sides and no right angle.
2. 4 equal sides and 4 right angles.
3. Exactly one pair of parallel sides.
4. Opposite sides parallel and equal, adjacent sides 8 cm and 3 cm, no right angle.

4 Classify the triangles / 3 pts

Name each triangle by its sides and by its angles. (1 point each)

1. Sides 4 cm, 4 cm, 4 cm; all angles smaller than 90°.
2. Sides 3 cm, 4 cm, 5 cm; one angle of 90°.
3. Sides 5 cm, 5 cm, 8 cm; one angle of about 106°.

5 True or false? / 3 pts

Say whether each sentence is true or false and justify. (1 point each)

1. Every square is a rhombus.
2. Every rectangle is a square.
3. A parallelogram can have exactly one pair of parallel sides.

6 Lines on the grid / 2 pts

Segment AB goes from \((1, 2)\) to \((6, 2)\). Segment CD goes from \((3, 2)\) to \((3, 7)\). Segment EF goes from \((1, 5)\) to \((6, 5)\).

1. Are AB and CD parallel or perpendicular? Why? (1 point)
2. Are AB and EF parallel or perpendicular? Why? (1 point)