4th Grade Lines of Symmetry Test Solutions and Scoring (PDF)

4th Grade math test solutions: Lines of Symmetry – Maths PDF

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This grade 4 symmetry test answers for 4th Grade covers lines of symmetry (Common Core 4.G.A.3), with a free PDF to print.

Use this answer key to score the test out of 20 points. Each solution explains the fold that makes the halves match. The scoring note tells how to give partial credit for drawings and explanations.

Grade 4 · Common Core State Standards: 4.G.A.3

Grade 4 symmetry test answers: worked solutions

Question 1 – Line symmetric or not [2 pts]

A kite folds along its long diagonal so the halves match: yes.
A slanted parallelogram has no fold that makes the halves match: no.

Scoring: 1 point for each correct answer.

Question 2 – Count the lines [2 pts]

2 lines
3 lines

Scoring: 1 point for each correct answer.

Question 3 – Draw the lines [2 pts]

The five lines each join a corner to the middle of the opposite side.

A regular pentagon.

Scoring: 1 point for drawing at least 3 correct lines, 2 points for all 5 correct lines and no incorrect lines.

Question 4 – Letters with symmetry [2 pts]

A, H, and M can be cut into matching left and right halves by a vertical line.

A, H, M

Scoring: 2 points for all three letters with no extra letters. 1 point for two correct letters, or for all three plus one extra.

Question 5 – Complete the figure [3 pts]

Each corner on the left matches a corner on the right at the same distance from the dashed line.

Grid with a dashed line of symmetry.

Scoring: 1 point for correct corners on the right half, 1 point for matching heights, and 1 point for joining the corners in the correct order.

Question 6 – Sort the shapes [3 pts]

(a) 1 line. (b) A regular hexagon has 6 sides, so 6 lines. (c) No fold matches, so 0 lines.

(a) 1 (b) 6 (c) 0

Scoring: 1 point for each correct number.

Question 7 – Road signs [3 pts]

8 sides, so 8 lines
3 sides, so 3 lines
\(8 – 3 = 5\), so 5 more lines

Scoring: 1 point for each correct part.

Question 8 – Check a claim [3 pts]

Mei is not right. A square has 4 lines of symmetry, but a rectangle that is not a square has only 2, and a slanted parallelogram has 0.

No, she is not right.

Scoring: 1 point for saying she is not right, 1 point for a correct example with the right number of lines, 1 point for a second correct example.

Total score

Total

20 points

Key facts behind this grade 4 symmetry test answers

Key facts

A line of symmetry splits a figure into two matching halves.
A square has 4 lines of symmetry, a rectangle has 2, and an equilateral triangle has 3.
A regular polygon with n sides has n lines of symmetry.
Some figures, like a slanted parallelogram, have no lines of symmetry.
Check by folding: the edges and corners must line up exactly.

How to use this grade 4 symmetry test answers

Score your test with the point values shown for each question. Then read the worked solution of every question where you lost points and note the method to review.

All Grade 4 chapters: Grade 4 math.

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