Introduction to Euclid’s Geometry: Mixed Practice

Direct Concept Checks

Question 1mcq

Refer to the diagram. The two interior angles on the same side of transversal

t

are

70^\circ

and

95^\circ

. What conclusion follows?

A.The lines will meet on the right side of the transversal if produced.

B.The lines will meet on the left side of the transversal if produced.

C.The lines are parallel because

70^\circ + 95^\circ = 180^\circ

D.No conclusion can be drawn from the angle sum.

Question 2mcq

Refer to the diagram. Which construction action is being shown?

A.Drawing a circle with centre

A

and radius

AB

B.Producing line

AB

indefinitely on both sides

C.Constructing a right angle at

B

D.Bisecting segment

AB

Question 3mcq

Case study: In a school craft club, two ribbons have equal lengths:

AB = CD

. Equal decorative strips of

5

cm are attached to one end of each ribbon, forming longer ribbons

AE

and

CF

. Which statement is definitely true?

AE = CF

, because equals added to equals are equal.

AE > CF

, because

AB

comes before

CD

alphabetically.

AE = CD

, because all right angles are equal.

AB \parallel CD

, because the lengths are equal.