Welcome to the Quiz!

This quiz contains 17 questions from a mix of 1 subtopics.

Which features must be identical for two shapes to be 'congruent'?

Their size

Their shape

Their rotation

Their position

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2

Two triangles of different sizes shown for comparison of congruence.

Without using the 4 rules, do the above triangles seem to be congruent?

Yes

No

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1

Two triangles side by side for congruence comparison.

Without using the 4 rules, do the above triangles seem to be congruent?

No

Yes

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1

Comparison of two triangles to determine congruence without using SSS, SAS, AAS, or RHS rules.

Without using the 4 rules, do the above shapes seem to be congruent?

No

Yes

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1

When using the 4 angle rules, what do S, A, R, and H stand for?

S -

A -

R -

H -

side
angle
right
angle
hypotenuse

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5

Four triangles labeled A, B, C, and D with side lengths shown to illustrate the SSS rule for proving congruence.

The SSS rule states that if two triangles have the same length sides, then the triangles must be congruent. Using this rule, which two of the above triangles are congruent?

(shapes not drawn accurately)


and

A
C

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2

Four triangles labeled A, B, C, and D with side lengths and angles shown to demonstrate the SAS rule for proving congruence.

The SAS rule states that if two sides and the angle in between them are the same for two triangles, those triangles must be congruent. Using this rule, which two of the above triangles must be congruent?

(shapes not drawn accurately)


and

B
D

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2

Four triangles labeled A, B, C, and D with given side lengths and angles demonstrating the AAS rule for congruence.

The AAS rule states that if two angles and one of the sides are the same size for two triangles,  then they must be congruent. Importantly though, the side must be in the same position relative to the two angles. Using this rule, which two of the triangles above must be congruent?

(shapes not drawn accurately)


and

A
B

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2

Diagram showing four right-angled triangles labeled A, B, C, and D with side lengths. Triangles A and B both have a hypotenuse of 8 cm and another side of 5 cm.

The RHS rule states that if two right-angled triangles both have the same length hypotenuse and one other side, then they must be congruent. Using this rule, which two of the triangles must be congruent?

(shapes not drawn accurately)


and

A
D

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2

Two triangles with sides labeled 4 cm, 6 cm, and 9 cm demonstrating the SSS rule for proving congruence.

For the above pair of triangles, which rules proves that they must be congruent?

(shapes not drawn accurately)

RHS

SSS

AAS

SAS

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1

For the above pair of triangles, which rules proves that they must be congruent?

(shapes not drawn accurately)

AAS

RHS

SSS

SAS

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1

Two triangles with sides 99cm, 90cm, and angle 60 degrees demonstrating congruence rules.

For the above pair of triangles, which rules proves that they must be congruent?

(shapes not drawn accurately)

RHS

SSS

AAS

SAS

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1

For the above pair of triangles, which rules proves that they must be congruent?

(shapes not drawn accurately)

RHS

SAS

SSS

AAS

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/

1

Diagram of two triangles with sides and angles labeled to prove congruence using SSS, SAS, AAS, or RHS rules.

For the above pair of triangles, which rules proves that they must be congruent?

(shapes not drawn accurately)

AAS

SSS

SAS

RHS

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/

1

For the above pair of triangles, which rules proves that they must be congruent?

(shapes not drawn accurately)

RHS

SAS

SSS

AAS

0

/

1

Diagram showing two right-angled triangles with sides of 22 cm and 14 cm.

For the above pair of triangles, which rules proves that they must be congruent?

(shapes not drawn accurately)

RHS

SSS

AAS

SAS

0

/

1

For the above pair of triangles, which rules proves that they must be congruent?

(shapes not drawn accurately)

AAS

SAS

RHS

SSS

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1