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Congruent triangles

9th grade (Year 10 in England) · 16 questions · Common Core: HSG.CO.B.8, HSG.SRT.B.5 · England: GCSE Foundation Geometry, GCSE Higher Geometry

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1
Question 1
Two triangles have only two pairs of sides equal. Must they be congruent?
- A. Yes
- B. No
2
Question 2
Two triangles are known to be congruent because all three pairs of sides are equal. Which condition is this?
- A. SAS
- B. RHS (HL)
- C. SSS
- D. ASA
3
Question 3
Two triangles have all three angles equal (AAA). Must they be congruent?
- A. Yes
- B. No
4
Question 4
Two triangles are known to be congruent because both have a right angle, and the hypotenuses and one other side are equal. Which condition is this?
- A. RHS (HL)
- B. SAS
- C. ASA
- D. SSS
5
Question 5
Two triangles have all three sides equal (SSS). Must they be congruent?
- A. Yes
- B. No
6
Question 6
Two triangles are known to be congruent because two angles and the side between them are equal. Which condition is this?
- A. SAS
- B. SSS
- C. ASA
- D. RHS (HL)
7
Question 7
Two triangles have two sides and the included angle equal (SAS). Must they be congruent?
- A. Yes
- B. No
8
Question 8
Two triangles are known to be congruent because two angles and the side between them are equal. Which condition is this?
- A. SAS
- B. ASA
- C. SSS
- D. RHS (HL)
9
Question 9
Two triangles have two angles and the included side equal (ASA). Must they be congruent?
- A. Yes
- B. No
10
Question 10
Two triangles are known to be congruent because all three pairs of sides are equal. Which condition is this?
- A. SAS
- B. RHS (HL)
- C. SSS
- D. ASA
11
Question 11
Two triangles have all three sides equal (SSS). Must they be congruent?
- A. Yes
- B. No
12
Question 12
Two triangles are known to be congruent because two sides and the angle between them are equal. Which condition is this?
- A. RHS (HL)
- B. SAS
- C. SSS
- D. ASA
13
Question 13
Two triangles have two sides and the included angle equal (SAS). Must they be congruent?
- A. Yes
- B. No
14
Question 14
Two triangles are known to be congruent because both have a right angle, and the hypotenuses and one other side are equal. Which condition is this?
- A. ASA
- B. RHS (HL)
- C. SSS
- D. SAS
15
Question 15
Two triangles have two sides and the included angle equal (SAS). Must they be congruent?
- A. Yes
- B. No
16
Question 16
Two triangles are known to be congruent because both have a right angle, and the hypotenuses and one other side are equal. Which condition is this?
- A. RHS (HL)
- B. SSS
- C. SAS
- D. ASA

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