### All ISEE Lower Level Math Resources

## Example Questions

### Example Question #1 : How To Find Symmetry

There is a four sided figure in which none of the lines run parallel to each other. Which of the following could be the appropriate term to describe the figure?

**Possible Answers:**

Trapezoid

None of these

Parallelogram

Quadrilateral

Rectangle

**Correct answer:**

Quadrilateral

A key characteristic of a rectangle, parallelogram, and trapezoid is the fact that they each have at least one pair of lines that run parallel to each other. The only option that has lines that may *not *run parallel to each other is the quadrilateral, which must simply have four sides but has no specifications about parallelism.

### Example Question #1 : Lines

If a diagonal is drawn from one corner of a rectangle to the opposite corner, what 2 shapes result?

**Possible Answers:**

**Correct answer:**

While drawing a line across a rectangle (so that it bisects 2 sides) can result in 2 quadrilaterals, squares, or rectangles, a line drawn from one corner to the furthest corner results in two triangles. Therefore, the correct answer choice is 2 triangles.

### Example Question #3 : How To Find Symmetry

How many lines of symmetry are there in a square?

**Possible Answers:**

**Correct answer:**

A line of symmetry is a line that divides a polygon in half and each half is a mirror image of the other. In other words, you can fold the polygon over the symmetry line and each half matches up perfectly.

For a square there are four lines of symmetry. Two are from the diagonals of the square and two are from connecting the midpoints of the opposite sides.