Congruent Triangles
Similar Triangles
Perimeter
Area
100
Prove that the following pairs of triangles are congruent:
A)
B)
A) △ABD ≡ △CBD (SAS)
B) △ABC ≡ △DEF (AAS)
100
Prove these triangles are similar (must state the scale factor)
△ABC ≅△DEF (SAS)
S.F = 3 or 1/3
100
Find x when the perimeter is 33.7cm
x=17.5cm
100
If the area=144m2 , find the length.
l=12m
200
Find the values of x and y:
a) x=7.3, y= 5.2
b) x=12, y=11
200
a) Prove that Aiden has contructed two similar triangles.
b) Find the width.
a) AAA
-1st angle: Given
-2nd angle: Shared
-3rd angle: Properties of a triangle
b) w=20m
200
Find the value of x:
x=2.4
200
Find the area of this shape:
49m2
300
In triangles MNO and QRS, it is given that:
MN=QR
NO=RS
∠N=∠R
Draw the triangles and state the condition that proves the two triangles are congruent.
SAS
300
a) Prove that the two triangles are similar.
b) Find the scale factor.
c) Find the value of x.
a) △ABE ≅△ACD (AAA)
b) S.F = 5/2
c) x=15
300
A rectangular rose garden of length 15m and width 9m is surrounded by a path of width 1.2m.
Find the distance around the outside of the path.
57.6m
300
A rectangular slab is 7m by 4m and concrete costs $12 per 2m².
Find the total cost of the concrete for the slab.
$168
400
Points are given:
- A(1,2), B(5,2), C(3,6)
- D(2,1), E(6,1), F(4,5)
a) Prove that triangle ABC is congruent to triangle DEF.
b) State the congruence rule used.
SSS
400
a)
-Angle D: shared
-Angle E = Angle C: corresponding angles
-Angle A = Angle E: properties of a triangle
b) S.F = 2
radius = 3
400
A bicycle has wheels with diameter 64cm.
Find how far, correct to the nearest centimetre, the bicycle moves when the wheels turns:
a) one rotation
b) five rotations
a) 201cm
b) 1005cm
400
An L-shaped concrete slab being prepared for the foundation of a new house is made up of two rectangles with dimensions 3m by 2m and 10m by 6m.
If two bags of cement are required for every 5m2 of concrete, how many whole bags of cement will need to be purchased for the job? (hint: find the total area of the concrete slab first)
A=54m2
11 whole bags
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