All topics

Symmetry

reflecting a point in a line or in a point, axes of symmetry of figures, recognising symmetric points, perpendicular bisectors and angle bisectors, figures with point symmetry

Exercises are drawn at random from a large bank - every click gives a different set.

Solved: 0 of 10

1

Which of these figures does not have a centre of symmetry?

a disc, a regular hexagon, a line segment, a trapezium with bases of different lengths

2

How many axes of symmetry does this figure have?

A kite

A kite on a gridxy−6−5−4−3−2−112345−6−5−4−3−2−1123450
3

Are these points symmetric about the drawn axis?

points A and B

Points A and B and an axisxy−6−5−4−3−2−12345−6−5−4−3−2−1123450axis1AB
4

Give the coordinates of the centre of symmetry of parallelogram ABCD.

centre of symmetry of parallelogram ABCD = ?

Parallelogram ABCD in the coordinate planexy−6−5−4−3−2−112345−6−5−4−3−2−1123450ABCD
5

Problem

Vertex C of rhombus ABCD lies on the perpendicular bisectors of sides AB and AD. What is the measure of angle BCD of this rhombus?

6

Read the drawing and give the coordinates of the image of the point

image of P under the reflection in the x-axis = ?

Point P on a gridxy−6−5−4−3−2−112345−6−5−4−3−2−1123450P
7

Which line is the perpendicular bisector of segment AB?

segment AB and lines a, b, c, d

Segment AB and four lines on a gridabcdAB
8

Problem

The bisector of angle BAC of triangle ABC meets side BC at point D. Angle BAC measures 76° and angle ABC measures 20°. What is the measure of angle ADC?

9

Complete the figure so that it is symmetric about the drawn axis, and give the coordinates of the image of vertex B.

image of vertex B under the reflection in the drawn axis = ?

Part of a figure and its axis of symmetryxy−6−5−4−3−2−112345−6−5−4−2−1123450axis−3ABC
10

Which of these figures does not have a centre of symmetry?

a regular hexagon, a rectangle, an isosceles triangle, a disc

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Symmetry - exercises with solutions | PhiBoard