Page 130 - MAT KS3 Y8 Cambridge CheckPoint

End-of-unit review

End-of-unit review

1 a Draw a circle with radius 4 cm. b Draw an arc with radius 6 cm and angle 30°.
2 a Draw a line segment AB that is 7 cm long.
b Using only your compasses and a straight-edge, draw the perpendicular bisector of AB.

3 a Draw an angle XYZ that measures 65°.
b Using only compasses and a straight-edge, draw the bisector of angle XYZ.

4 Mrs Jones wants to put new flooring in her kitchen. A 7 m B
Her kitchen is in the shape of a rectangle.
The sketch on the right shows the dimensions of her kitchen floor, ABCD. 3.5 m Carpet on Tiles on
a Draw an accurate copy of her kitchen floor. this half this half
Use a scale where 1 cm represents 1 m.
D C
b Using compasses and a straight-edge, draw on your diagram:
Not to scale
i the midpoint of AB ii the midpoint of CD.
c Mrs Jones is going to have carpet on half of the floor and tiles on the other half.
Draw the halfway line on your diagram.
5 Valdis makes jewellery. The diagram shows one of her latest pendant designs.
1.5 cm
The pendant is made from an isosceles triangle and a circle.
The top of the triangle is joined to the centre of the circle.
The circle has a radius of 1.5 cm. 30°
The angle at the top of the triangle is 30°. The triangle has a side length of 5 cm. 5 cm
Valdis wants to paint the left side of the triangle a different colour from the right side.
left right
a Draw an accurate drawing of the pendant. side side
b Draw on your diagram the angle bisector, shown by the red dotted line.
Use only compasses and a straight-edge.
c Use a protractor to check that you have drawn the angle bisector accurately.

6 Draw an accurate copy of each triangle. a b
4 cm 6.5 cm 78 mm

8 cm
54 mm
7 Hassan and Harsha both sketch a right-angled triangle.
Hassan’s sketch Harsha’s sketch

If we draw these triangles accurately, I think I remember that congruent means
that our triangles will be congruent. exactly the same shape and size.

Is Hassan correct? Show how you worked out your answer.
128 12 Constructions