Lesson G5
G5 use the basic congruence criteria for triangles (SSS, SAS, ASA, RHS) Quiz: Pearson Edexcel Maths, Unit 4
20 questions
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Lesson G5, use the basic congruence criteria for triangles (SSS, SAS, ASA, RHS): 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
-
Which is NOT a valid congruence criterion for triangles?
- SSS
- RHS
- AAA
- SAS
-
What does the R stand for in the triangle congruence rule RHS?
- Rhombus
- Rotational
- Regular
- Right angle
-
In the SAS congruence rule, where must the known angle be?
- Opposite both sides
- Between the sides
- Outside the sides
- At the base
-
What does ASA stand for in triangle congruence?
- Area side angle
- Acute side angle
- Angle side angle
- Angle side area
-
What must two congruent geometric shapes share?
- Identical shape and size
- Proportional side lengths
- Equal area only
- Same orientation only
-
What does SSS stand for in triangle geometry?
- Surface side size
- Side side side
- Same scale size
- Side scale side
-
RHS applies only to:
- isosceles triangles
- equilateral triangles
- right-angled triangles
- obtuse triangles
-
Two triangles with three pairs of equal angles are what?
- Similar
- Congruent
- Identical
- Equilateral
-
Triangles have AB = DE = 5 cm, BC = EF = 7 cm and angle B = angle E = 40°. Which criterion proves them congruent?
- SSS
- ASA
- SAS
- RHS
-
Two triangles have angle A = angle D = 60°, angle B = angle E = 50° and AB = DE. Which criterion applies?
- RHS
- ASA
- SSS
- SAS
-
Two right-angled triangles have hypotenuse 13 cm and one other side of 5 cm in each. Which criterion applies?
- SAS
- RHS
- SSS
- ASA
-
Can rotated triangles with matching side lengths be congruent?
- No, orientations differ
- Yes, by SAS
- Only if equilateral
- Yes, by SSS
-
Does the SSA condition guarantee standard triangle congruence?
- No
- Only for right triangles
- Only for acute triangles
- Yes
-
Two triangles share a common side and have equal angles at both ends of that side. Which criterion proves congruence?
- SSS
- RHS
- SAS
- ASA
-
An altitude splits an isosceles triangle into two right-angled triangles. Which criterion proves they are congruent?
- SAS
- SSS
- RHS
- ASA
-
Triangles ABC and DEF are congruent with A↔D, B↔E, C↔F. If AB = 4.5 cm, which side must equal 4.5 cm?
- EF
- DF
- DE
- BC
-
Which condition is insufficient on its own to prove two triangles are congruent?
- SSS
- SAS
- AAA
- RHS
-
Diagonals AC and BD of a quadrilateral bisect each other at M. Which criterion proves triangles AMB and CMD congruent?
- RHS
- ASA
- SSS
- SAS
-
Which rule proves two right-angled triangles congruent with matching hypotenuse and leg?
- SSS
- ASA
- RHS
- SAS
-
Two triangles have angles 30° and 70°, with the side between them 9 cm in both. What is the third angle?
- 40°
- 60°
- 100°
- 80°
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