Page 42 - 01-Yr5_Front cover-ccp.indd

44 1 o cm circular
• Name and measure • • protractor •••••••••••• •
6 Add the angles PQR, QRS, RSP and SPQ to find the
angle sum of quadrilateral PQRS (on page 2). ~=1.x.1:41a~
rn a Nome, measure and record each angle
in these quadrilaterals. PAGE3
b Find the angle sum of each one.
K

Do the some for triangle b.
G

o Use a sharp pencil to draw then name two triangles of your own. M
b Measure the angles and find the angle sum of each triangle. (§1 a Drow and letter the vertices of a quadrilateral of your own.
b Name and measure the angles.
Q c Find the angle sum.
4 What do you notice about the angle sum in all four triangles?
@] Write what you notice about the angle sum of each quadrilateral.
a Name and measure each of
the angles in this diagram.
CHALLENGE These triangles ore similar
b Use a table like this to record
• Decide how ta construct similar because their corresponding
your results. angles are equal
trapezia with angles of these dimensions
Angle name ' Type Size in degfees A B
s AB is half the length of DC.
c Explain how you can be fairly certain
that your measuring is accurate. R
El
rn
A A A A A A
A= 100°, 8 = 32°, C = 48°, D = qo 0 , E = 62°, F = 28°, The angle sum of quadrilateral SPQR should be 360°.
A A A A A A
Angle sum = A + 8 + C = 180° Angle sum = D + E + F = 180°

A A A A
KLM = 116°, KGM = 116°, LKG = 73°, LMG = 55°
A A . A A
Open: draw and name a Practical: measuring angles. D = 112°, E = 68°, F = 75°, G = 105°
two triangles, measure b Angle name Type Size in degrees The angle sum of each quadrilateral is 360°.
angles and find angle A
sum of each triangle. SPQ obtuse 147°
A
RPQ right angle qoo
A
SPR acute 57°
A Open/Practical: draw and letter own quadrilateral, name and measure the
PRS acute 58° angles, and find the angle sum.
A
The angle sum of all RSP acute 65°
four triangles is 180°. A
PQR acute 46°
A Challenge
QRP acute 44°
A The angle sum of each Practical: construct trapezia similar
ORS obtuse 102°
quadrilateral is 360°. to given diagram.
c The angle sum of each triangle should be
180°.