EXPLORING 2D SHAPES SHEET 7 - Always, Sometimes or Never True?

Oct 22, 2026

Uploaded by Logic

Work sheet 7 of an “Exploring 2D Shapes” unit asks learners to judge whether each given geometry statement is always true, sometimes true, or never true, and to justify answers using drawings or written reasoning. The statements focus on properties of quadrilaterals, rectangles, squares, triangles, and reflections, including angle conditions, similarity versus area relationships, and congruence under mirror lines. An answer page provides classifications and brief explanations.

LanguageEnglish

CategoryExam

FormatPDF

Pages2

Reading Time5 min

AccessFree to download

EXPLORING 2D SHAPES SHEET 7

ALWAYS, SOMETIMES OR NEVER TRUE?

Name Date EXPLORING 2D SHAPES SHEET 7 ALWAYS, SOMETIMES OR NEVER TRUE? For each of the statements below, tick whether they are always true, sometimes true or never true. Can you explain your reasoning by drawing or writing? | | STATEMENT | ALWAYS, SOMETIMES OR NEVER TRUE? | REASONING | | --- | --- | --- | --- | | 1) | A quadrilateral can have 3 acute angles. | ALWAYS SOMETIMES NEVER | | | 2) | If a rectangle has double the area of another rectangle then the two shapes are similar. | ALWAYS SOMETIMES NEVER | | | 3) | If you reflect a shape in a mirror line, then you get a shape which is congruent to the first one. | ALWAYS SOMETIMES NEVER | | | 4) | If the angles in a triangle are all different, then the triangle could be isosceles. | ALWAYS SOMETIMES NEVER | | | 5) | If a rectangle and a square have the same area, then the square will have a smaller perimeter. | ALWAYS SOMETIMES NEVER | | | 6) | A quadrilateral can have 2 reflex angles. | ALWAYS SOMETIMES NEVER | | Name Date EXPLORING 2D SHAPES SHEET 7 ANSWERS ALWAYS, SOMETIMES OR NEVER TRUE? | | STATEMENT | ALWAYS, SOMETIMES OR NEVER TRUE? | REASONING | | --- | --- | --- | --- | | 1) | A quadrilateral can have 3 acute angles. | ALWAYS
SOMETIMES
NEVER | This is true for some concave quadrilaterals.
| | 2) | If a rectangle has sides twice as long as another rectangle, then the area will be twice as large. | ALWAYS SOMETIMES
NEVER | The area will be 4 times larger than the original rectangle.
| | 3) | If you reflect a shape in a mirror line, then you get a shape which is congruent to the first one. | ALWAYS
SOMETIMES NEVER | Congruent shapes has the same length sides and the same angles – just as a reflection does. | | 4) | If the angles in a triangle are all different, then the triangle could be isosceles. | ALWAYS SOMETIMES
NEVER | Isosceles triangles have to have two identical angles.
| | 5) | If a rectangle and a square have the same area, then the square will have a smaller perimeter. | ALWAYS
SOMETIMES NEVER | This is always true (unless the rectangle in question is the same shape as the square) . The square is the most efficient shape (apart from a circle) for maximizing area from its length. | | 6) | A quadrilateral can have 3 obtuse angles. | ALWAYS
SOMETIMES
NEVER | This is true for some
quadrilaterals like this kite.
|

FAQs

How should answers be recorded on the worksheet?

For each statement, tick whether it is always true, sometimes true, or never true, and explain the reasoning by drawing or writing.

What geometric ideas do the statements test?

They test angle properties of quadrilaterals and triangles, area relationships between rectangles, and the effect of reflecting shapes in a mirror line, including congruence.

Where can learners find the correct classifications?

The document includes an “EXPLORING 2D SHAPES SHEET 7 ANSWERS” section that lists each statement with the always/sometimes/never choice and short reasoning.

Oct 22, 2026

Uploaded by Logic