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Triangle Congruence Theorems

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Mathematics

10th Grade

Used 70+ times

Triangle Congruence Theorems
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15 questions

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1.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

When can you use the SSS postulate?

When you know all three angles of one triangle are congruent to all three angles of another triangle.

When you know all three sides of one triangle are congruent to all three sides of another triangle.

When you know the area of one triangle is equal to the area of another triangle.

When you know the perimeter of one triangle is equal to the perimeter of another triangle.

2.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

When can you use the SAS postulate?

When you know two sides and the included angle of one triangle are congruent to two sides and the corresponding included angle of another triangle.

When you know all three sides of one triangle are congruent to all three sides of another triangle.

When you know two angles and the included side of one triangle are congruent to two angles and the corresponding included side of another triangle.

When you know the perimeter of one triangle is equal to the perimeter of another triangle.

3.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What does HL stand for in triangle congruence?

Hypotenuse-Leg

Height-Length

Half-Length

Hypotenuse-Line

4.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What does SSS stand for in triangle congruence?

Side-Side-Side

Side-Side-Angle

Angle-Side-Side

Angle-Angle-Side

5.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What does SAS stand for in triangle congruence?

Side-Angle-Side

Side-Side-Angle

Angle-Side-Angle

Angle-Angle-Side

6.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What is the significance of triangle congruence theorems?

They provide criteria to determine if two triangles are congruent, which is essential in solving geometric problems.

They are used to calculate the area of triangles.

They help in determining the angles of a triangle without measuring them.

They are only applicable to right-angled triangles.

7.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Provide an example of using the ASA postulate.

If triangle ABC has angles A = 50°, B = 60° and side AB = 5 cm, and triangle DEF has angles D = 50°, E = 60° and side DE = 5 cm, then triangles ABC and DEF are congruent by ASA.

If triangle GHI has angles G = 30°, H = 70° and side GH = 10 cm, and triangle JKL has angles J = 30°, K = 70° and side JK = 10 cm, then triangles GHI and JKL are congruent by ASA.

If triangle MNO has angles M = 45°, N = 45° and side MN = 7 cm, and triangle PQR has angles P = 45°, Q = 45° and side PQ = 7 cm, then triangles MNO and PQR are congruent by SSS.

If triangle STU has angles S = 60°, T = 60° and side ST = 8 cm, and triangle VWX has angles V = 60°, W = 60° and side VW = 8 cm, then triangles STU and VWX are congruent by AAS.

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