Free Printable S6 Triangles Topic 6

1.

We are given that $\overline{AB}\cong\overline{BC};$ therefore, $\angle A\cong\angle C$ by the

a)

Base Angles Theorem

b)

Congruent Angles Theorem

c)

Alternate Exterior Angles Theorem

d)

Alternate Interior Angles Theorem

2.

Because of the Definition of a Midpoint, we know that

a)

$\overline{AE}\cong\overline{BE}$

b)

$\overline{AE}\cong\overline{CE}$

c)

$\overline{AE}\cong\overline{BC}$

d)

$\overline{AE}\cong\overline{AE}$

3.

We can conclude that $\Delta ABE\cong\Delta CBE$ by

a)

SSS

b)

AA

c)

SAS

d)

ASA

4.

We can conclude that $\angle ABE\cong\angle CBE$ by

a)

Definition of Angle Bisector

b)

Reflexive Property

c)

CPCTC

d)

Angle Addition Postulate

5.

We are given that $\overline{WZ}\parallel\overline{XY},\ \overline{WX}\parallel\overline{ZY};$ therefore __________________ by Reflexive Property of Congruence.

a)

$\overline{WZ}\cong\overline{WZ}$

b)

$\overline{XZ}\cong\overline{XZ}$

c)

$\overline{XY}\cong\overline{XY}$

d)

$\overline{WX}\cong\overline{WX}$

6.

We know that $\angle WZX\cong\angle YXZ$ because

a)

Definition of a Parallelogram

b)

Alternate Interior Angles Theorem

c)

Corresponding Angles Postulate

d)

AA

7.

We can conclude that $\Delta ZWX\cong\Delta XYZ$ by

a)

SSS

b)

ASA

c)

AAS

d)

SAS

8.

We can conclude that $\overline{WZ}\cong\overline{XY}$ by

a)

Reflexive Property

b)

CPCTC

c)

Definition of Parallelogram

d)

AA

9.

Bayleigh argued that, in the diagram, $\angle ONP\cong\angle QPN$ because of SSS and CPCTC. Which statement is true?

a)

Bayleigh's argument is correct.

b)

Bayleigh should have used a reason other than CPCTC to make her final conclusion.

c)

Bayleigh does not have enough information to prove the triangles congruent by SSS.

d)

Bayleigh should have used SAS, not SSS to prove the triangles are congruent.

S6 Triangles Topic 6

Total questions: 9

Worksheet time: 2hrs 40mins

Similar Resources on Wayground