
ABC is an equilateral triangle.
D lies on BC. AD is perpendicular to BC.
Prove that triangle ADC is congruent to triangle ADB.
Hence, prove that .
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ABC is an equilateral triangle.
D lies on BC. AD is perpendicular to BC.
Prove that triangle ADC is congruent to triangle ADB.
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Hence, prove that .
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is a quadrilateral.
.
Angle = angle
.
Prove that .
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Quadrilaterals ABCD and LMNP are mathematically similar.
Angle A = angle L
Angle B = angle M
Angle C = angle N
Angle D = angle P
Work out the length of LP.
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Work out the length of BC.
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and
are two right-angled triangles.
Work out the length of .
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Are these two triangles definitely congruent?
Give a reason.
..................... because ..............................................................................................................
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Triangle is similar to triangle
Calculate the length of
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Write down an expression for in terms of
y = ......................................
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and
are similar triangles.
Work out the length of .
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Given that ,
work out the length of .
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The diagram shows two cylinders, and
Cylinder has height 1.6 m and radius 0.56 m.
Cylinder is mathematically similar to cylinder
.
The height of cylinder is 0.6 m.
Work out the radius of cylinder .
....................................................... m
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and
are similar triangles.
Work out the length of .
.......................
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Work out the length of .
....................
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and
are similar triangles.
Work out the length of
........................
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Circle the reason why these triangles are congruent.
ASA | RHS | SAS | SSS |
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These two triangles are similar.
Work out the value of .
............................cm
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Here are two right-angled triangles.
Circle the value of .
11 | 7.5 | 9 | 4 |
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Which of these is not used to prove that triangles are congruent?
Circle your answer.
SSS | SAS | AAA | RHS |
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ABCD is a parallelogram.
ABP and QDC are straight lines.
Angle ADP = angle CBQ = 90o.
Prove that triangle ADP is congruent to triangle CBQ.
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Explain why AQ is parallel to PC.
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is a rhombus.
and
are points on
such that
Prove that triangle is congruent to triangle
.
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.
is the midpoint of
.
is the midpoint of
.
Prove triangle is congruent to triangle
.
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and
are straight lines.
and
are parallel.
Calculate the length of .
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ABC and EDC are straight lines.
EA is parallel to DB.
EC = 8.1 cm.
DC = 5.4 cm.
DB = 2.6 cm,
Work out the length of AE.
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AC = 6.15 cm.
Work out the length of AB.
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is a parallelogram.
is the point where the diagonals
and
meet.
Prove that triangle is congruent to triangle
.
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The diagram shows triangle ABC.
CD is parallel to AB.
A, C and E lie in a straight line.
Angles of size and
are shown.
Insert ° or
to make this statement true.
Give a reason for your answer.
Angle DCE = ......... because ....................................................................................................
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Use the diagram and the answer to part (a) to show that the angles of a triangle add up to 180°.
Give a reason for each statement you make.
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In the diagram AB is parallel to CD.
AED and BEC are straight lines.
Prove that triangle ABE is similar to triangle CDE.
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The diagram below shows two triangles.
Prove that triangle ABC is congruent to triangle ACD.
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Anna estimates the height of a tree.
Anna holds a ruler vertically so the height of the tree is exactly covered by the ruler.
She is 20 metres from the tree.
The ruler is 30cm long.
The horizontal distance from her eyes to the ruler is 60 cm.
Calculate an estimate of the height of the tree.
.......................... m
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Give two reasons why this method may not be suitable to estimate the height of a very tall building.
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