Symmetry — Flashcards
ICSE · Class 7 · Mathematics
25 flashcards for Symmetry (ICSE Class 7 Mathematics) to test yourself on key terms and facts. Sample: "A quadrilateral ABCD folds exactly on line PQ"
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A quadrilateral ABCD folds exactly on line PQ so that A coincides with D and B coincides with C. What is PQ called?
Answer
Step 1: The line divides the figure into two identical parts. Step 2: On folding, both parts coincide exactly. Step 3: Therefore, PQ is a line of symmetry, also called an axis of symmetry. Answer: PQ …
A line segment AB is folded on its middle line so that both halves match. What kind of symmetry does AB have?
Answer
Step 1: A line segment matches with itself when folded at the middle line. Step 2: The middle line is the perpendicular bisector. Answer: A line segment is symmetrical about its perpendicular bisector…
An angle has two equal arms. What line makes it symmetrical?
Answer
Step 1: The two arms are equal. Step 2: The angle is divided into two equal parts by its bisector. Answer: An angle with equal arms is symmetrical about the bisector of the angle.
A scalene triangle is folded in different ways. Will it match exactly on the fold line?
Answer
Step 1: A scalene triangle has all sides different. Step 2: No fold line divides it into two identical parts. Answer: A scalene triangle has no line of symmetry.
Why does an isosceles triangle have only one line of symmetry?
Answer
Step 1: In an isosceles triangle, two sides are equal. Step 2: The line through the vertex angle and the midpoint of the base divides it into two identical halves. Step 3: No other fold line makes the…
Why does an equilateral triangle have three lines of symmetry?
Answer
Step 1: All three sides and all three angles are equal. Step 2: Each angle bisector also works as a perpendicular bisector of the opposite side. Step 3: So three different fold lines make the figure m…
How many lines of symmetry does a circle have?
Answer
Step 1: Any line through the centre divides the circle into two identical halves. Step 2: There are endlessly many such lines. Answer: A circle has infinite lines of symmetry; every line through its c…
How many lines of symmetry does a semi-circle have?
Answer
Step 1: A semi-circle matches itself only on one fold line. Step 2: That line passes through the centre and is perpendicular to the diameter. Answer: A semi-circle has one line of symmetry.
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