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Homework Practice

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Introduction to Euclid’s Geometry: Axioms and Postulates: Practice 1

Section A: Core Practice

Question 1mcq
During a planning problem on history and need for geometry, which statement best describes a line segment?
A.A point with no size
B.A line extending endlessly in both directions
C.A part of a line with two endpoints
D.A circle with a fixed radius
Question 2mcq
During a graphing problem on history and need for geometry, in an isosceles triangle, AB=ACAB=AC and B=70\angle B=70^\circ. What is C\angle C?
A.4040^\circ
B.7070^\circ
C.5555^\circ
D.110110^\circ
Question 3mcq
If two parallel lines are cut by a transversal and one pair of corresponding angles is 6565^\circ, what is the matching corresponding angle?
A.6565^\circ
B.115115^\circ
C.9090^\circ
D.180180^\circ
Question 4mcq
Which method is most appropriate for checking a mathematical answer?
A.Use only the diagram's appearance.
B.Choose the longest option.
C.Ignore the units.
D.Substitute the answer back into the original condition.
Question 5mcq
A pattern starts 5,9,13,17,5,9,13,17,\ldots. What is the common difference?
A.99
B.55
C.44
D.1313

Section B: Application Practice

Question 6mcq
During a navigation problem on euclidean postulates, which statement best describes a line segment?
A.A line extending endlessly in both directions
B.A part of a line with two endpoints
C.A point with no size
D.A circle with a fixed radius
Question 7mcq
During a modelling problem on axioms of measurement, in an isosceles triangle, AB=ACAB=AC and B=70\angle B=70^\circ. What is C\angle C?
A.7070^\circ
B.4040^\circ
C.5555^\circ
D.110110^\circ
Question 8mcq
If two parallel lines are cut by a transversal and one pair of corresponding angles is 6565^\circ, what is the matching corresponding angle?
A.180180^\circ
B.115115^\circ
C.9090^\circ
D.6565^\circ
Question 9mcq
During a angle problem on history and need for geometry, two triangles have two corresponding sides equal and the included angle equal. Which congruence criterion applies?
A.ASA
B.SSS
C.SAS
D.RHS
Question 10mcq
In a parallelogram ABCDABCD, which pair of opposite sides is equal?
A.AB=BCAB=BC
B.AB=CDAB=CD
C.AC=BDAC=BD
D.A=B\angle A=\angle B