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Lesson details

Key learning points

  1. In this lesson, we will learn to form quadrilaterals using the properties of circles. We will also learn to use symmetrical properties of special quadriaterals.

Licence

This content is made available by Oak National Academy Limited and its partners and licensed under Oak’s terms & conditions (Collection 1), except where otherwise stated.

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5 Questions

Q1.
How many can be constructed with the following angle measures?100°, 40°, 40°
Exactly one triangle can be constructed
Correct answer: More than one triangles can be constructed
No triangles can be constructed
Q2.
How many triangles can you draw with three side lengths of 4 cm, 5 cm and 10cm?
Four possibilities
Correct answer: Impossible
One possibility
Two possibilities
Q3.
Complete the sentence about the image below: You can construct different triangles if you are given two _____ and one _____ angle.
An image in a quiz
exterior, side
interior, side
side, exterior
Correct answer: side, interior
Q4.
For the image below, both of the triangles above have side lengths of ______ and 7cm and an interior angle of ______.
An image in a quiz
4cm and 148°
Correct answer: 4cm and 32°
7cm and 74°
Q5.
How many triangles can you draw with this information? One side of length 7 cm, one side of length 5cm and a 40° angles.
Correct answer: Four possibilities
Impossible
One possibility
Two possibilities

5 Questions

Q1.
Complete the sentence by choosing the correct option below: We can use our knowledge of _______ to describe the ______ of quadrilaterals.
arcs, length
Correct answer: circles, properties
circles, radius
constructions, properties
Q2.
Use the image to help you complete the sentence: The ______ is the same length in both circles. The sides of the shaded quadrilateral are all radii, so they are ________ in length
An image in a quiz
diameter, different
diameter, equal
radius, different
Correct answer: radius, equal
Q3.
The quadrilateral below is a....
An image in a quiz
Kite
Parallelogram
Correct answer: Rhombus
Sqaure
Q4.
Choose a quadrilateral you can form by joining dots on the circle below.
An image in a quiz
Kite
Parallelogram
Correct answer: Rectangle
Square
Q5.
Choose A, B, C or D for the statement below.
An image in a quiz
A
B
Correct answer: C
D

Lesson appears in

UnitMaths / Constructing triangles and quadrilaterals