WorksheetsGrade 9 Similarity and Congruence Unit practice assessment.
Total questions: 20
Worksheet time: 18mins
State the type of congruency in the given pair of triangles
SSS
SAA
SAS
SSA
State the type of congruency in the given pair of triangles
RHS
SAS
ASA
AAS
If ∆DEF ≅ ∆ACB, then the part of ∆ACB that corresponds to angle F is :
Angle A
Angle B
Angle C
None of these
Two plane figures are said to be congruent if they have :
same length and same breadth
same length but different breadth
same size and same shape
different size but same shape
∆PRT ≅ ∆ZPQ. Then side PT will be equal to?
ZQ
QZ
ZP
PQ
Given the two triangles, which statement is true?
∠ACB ≅ ∠ DFE
∠ BAC ≅ ∠ FDE
∠CAB ≅∠FED
∠ABC ≅ ∠ DEF
1.8
4.2
6.48
3.78
2.4
3.1
17.856
2.6
Find the area of the smaller figure.
Enter a number only
(a)
The figures shown are similar. The areas of each figure is given.
What is the ratio of the side length of the smaller triangle to the larger triangle?
4:49
2:7
1:7
1:25
The figures shown are similar. Calculate the area of the larger figure.
(leave out the units in the answer)
(a)
Two similar figures have corresponding sides 3cm and 5cm. The area of the smaller one is 12 cm2. What is the area of the larger one? Give your answer to 1 decimal place. (leave out the units in the answer)
(a)
These two shapes are similar. What is the length of x? give your answer to 1 decimal place.
(leave out the units in the answer)
(a)
Two fridge magnets are mathematically similar.
One magnet is 4cm long and the other is 10cm long.
The area of the smaller magnet is 18cm2.
Calculate the area of the larger magnet. give your answer to 1 decimal place.
(leave out the units in the answer)
(a)
Two solid shapes, A and B, are mathematically similar.
The base of shape A is a circle with a radius of 4 cm.
The base of shape B is a circle with a radius of 8 cm.
The surface area of shape A is 80 cm2
Work out the surface area of shape B.
(leave out the units in your answer)
(a)
Two solid shapes, A and B, are mathematically similar.
The base of shape A is a circle with a radius of 4 cm.
The base of shape B is a circle with a radius of 8 cm.
The volume of shape B is 600 cm3 .
Work out the volume of shape A.
(leave out the units in your answer)
(a)
The two buckets shown are similar.
Work out the value of y.
(leave out the unit in your answer)
(a)
A scale factor of 2 is used to enlarge the dimensions of a cube. What is the effect of this change on the volume of the cube?
The volume will be half the original.
The volume will be two times more.
The volume will be 4 times more.
The volume will be 8 times more.
The volume will not change.
