Lesson G6
G6 apply angle facts, triangle congruence, similarity and properties of quadrilaterals to... Quiz: Pearson Edexcel Maths, Unit 4
20 questions
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Lesson G6, apply angle facts, triangle congruence, similarity and properties of quadrilaterals to...: 20 multiple choice questions for the Pearson Edexcel GCSE Maths (1MA1), Unit 4: Geometry and measures, written with Revision Ninja.
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The 20 questions
-
Pythagoras' theorem applies to:
- isosceles triangles only
- equilateral triangles only
- all triangles
- right-angled triangles
-
In a right triangle with legs a, b and hypotenuse c:
- c = a + b
- a + b = 2c
- c² = a + b
- c² = a² + b²
-
The base angles of an isosceles triangle are:
- right angles
- always different
- equal
- supplementary
-
What are the core defining properties of similar triangles?
- Equal areas and perimeters
- Equal angles, proportional sides
- Proportional angles and sides
- Equal angles and sides
-
The converse of Pythagoras says that if a² + b² = c², the triangle is:
- right-angled
- obtuse
- acute
- equilateral
-
What must every step in a valid geometric proof follow from?
- Accurate drawings
- Established facts
- Visual estimates
- Empirical testing
-
An exterior angle of a triangle equals the sum of what?
- Adjacent interior angles
- All three angles
- Opposite interior angles
- Two exterior angles
-
The constant ratio between corresponding lengths of similar shapes is the:
- tangent ratio
- scale factor
- constant difference
- ratio of areas
-
A right triangle has legs 6 cm and 8 cm. What is the hypotenuse?
- 7 cm
- 14 cm
- 48 cm
- 10 cm
-
An isosceles triangle has apex angle 30°. What is each base angle?
- 60°
- 75°
- 30°
- 150°
-
A right triangle has hypotenuse 17 cm and one leg 8 cm. What is the other leg?
- 25 cm
- 12 cm
- 9 cm
- 15 cm
-
A triangle with sides 3, 4 and 5 has a similar triangle whose shortest side is 9. What is the hypotenuse of the second triangle?
- 45
- 15
- 27
- 12
-
A rectangle is 12 cm long and 5 cm wide. What is its diagonal?
- 60 cm
- 13 cm
- 17 cm
- 11 cm
-
Is a triangle with side lengths 5, 12, and 13 right-angled?
- Cannot tell
- Yes
- Only if scaled
- No
-
A 10 m ladder reaches a wall with its foot 6 m from the wall. How high up the wall does it reach?
- 8 m
- 12 m
- 4 m
- 16 m
-
Two similar triangles have areas in ratio 16:25. What is the ratio of corresponding sides?
- 2:5
- 16:25
- 4:5
- 8:25
-
Which congruence criterion proves the altitude of an isosceles triangle bisects the base?
- ASA
- SSS
- RHS
- SAS
-
What is the distance between the points (1, 2) and (4, 6)?
- √7
- 7
- 25
- 5
-
A right-angled triangle has hypotenuse 25 cm and legs in the ratio 3:4. What is its area?
- 75 cm²
- 300 cm²
- 125 cm²
- 150 cm²
-
A point is 8 units left and 6 units down from the origin. How far is it from the origin?
- 48
- 10
- 2
- 14
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