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4-gons (Quadrilaterals): Final Assessment

Section A: Core Review

Question 1mcq
If two parallel lines are cut by a transversal and one pair of corresponding angles is 65∘65^\circ, what is the matching corresponding angle?
A.65∘65^\circ
B.115∘115^\circ
C.90∘90^\circ
D.180∘180^\circ
Question 2mcq
During a investigation problem on quadrilateral basics, two triangles have two corresponding sides equal and the included angle equal. Which congruence criterion applies?
A.RHS
B.SSS
C.ASA
D.SAS
Question 3mcq
During a radius problem on parallelogram properties, in a parallelogram ABCDABCD, which pair of opposite sides is equal?
A.AC=BDAC=BD
B.AB=BCAB=BC
C.AB=CDAB=CD
D.∠A=∠B\angle A=\angle B
Question 4mcq
During a mapping problem on parallelogram properties, 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 5mcq
During a geometry problem on parallelogram properties, in an isosceles triangle, AB=ACAB=AC and ∠B=70∘\angle B=70^\circ. What is ∠C\angle C?
A.70∘70^\circ
B.40∘40^\circ
C.55∘55^\circ
D.110∘110^\circ
Question 6mcq
If two parallel lines are cut by a transversal and one pair of corresponding angles is 65∘65^\circ, what is the matching corresponding angle?
A.180∘180^\circ
B.115∘115^\circ
C.90∘90^\circ
D.65∘65^\circ
Question 7mcq
During a calculation problem on parallelogram characterisations, 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 8mcq
The point (−5,5)(-5,5) lies in which quadrant?
A.Quadrant I
B.Quadrant II
C.Quadrant III
D.Quadrant IV

Section B: Application and Reasoning

Question 9mcq
What is the distance between (1,0)(1,0) and (4,4)(4,4)?
A.55 units
B.44 units
C.77 units
D.2525 units
Question 10mcq
Find the midpoint of the segment joining (−4,2)(-4,2) and (4,−2)(4,-2).
A.(0,1)(0,1)
B.(1,0)(1,0)
C.(8,−4)(8,-4)
D.(0,0)(0,0)
Question 11mcq
The point (−5,1)(-5,1) lies in which quadrant?
A.Quadrant III
B.Quadrant I
C.Quadrant II
D.Quadrant IV
Question 12mcq
Which graph is most suitable for comparing the number of students choosing different clubs?
A.A line graph
B.A bar graph
C.A compass construction
D.A number line only
Question 13mcq
A centroid divides each median of a triangle in which ratio from vertex to midpoint?
A.2:12:1
B.1:21:2
C.3:13:1
D.1:11:1
Question 14mcq
Triangle ABCABC has base AB=7AB=7 units on a horizontal line and perpendicular height 44 units. What is its area?
A.2222 square units
B.2828 square units
C.1111 square units
D.1414 square units
Question 15mcq
Triangle ABCABC has base AB=7AB=7 units on a horizontal line and perpendicular height 55 units. What is its area?
A.1212 square units
B.3535 square units
C.17.517.5 square units
D.2424 square units
Question 16mcq
The point (−2,3)(-2,3) lies in which quadrant?
A.Quadrant I
B.Quadrant II
C.Quadrant III
D.Quadrant IV

Section C: Challenge and Mixed Practice

Question 17mcq
Which method is most appropriate for checking a mathematical answer?
A.Substitute the answer back into the original condition.
B.Choose the longest option.
C.Ignore the units.
D.Use only the diagram's appearance.
Question 18mcq
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 19mcq
What is the sum of the first 2020 natural numbers?
A.400400
B.200200
C.210210
D.190190
Question 20mcq
Which method is most appropriate for checking a mathematical answer?
A.Choose the longest option.
B.Substitute the answer back into the original condition.
C.Ignore the units.
D.Use only the diagram's appearance.
Question 21mcq
In a parallelogram ABCDABCD, which pair of opposite sides is equal?
A.AB=CDAB=CD
B.AB=BCAB=BC
C.AC=BDAC=BD
D.∠A=∠B\angle A=\angle B
Question 22mcq
Two triangles have two corresponding sides equal and the included angle equal. Which congruence criterion applies?
A.RHS
B.SSS
C.ASA
D.SAS
Question 23mcq
In an isosceles triangle, AB=ACAB=AC and ∠B=70∘\angle B=70^\circ. What is ∠C\angle C?
A.55∘55^\circ
B.40∘40^\circ
C.70∘70^\circ
D.110∘110^\circ
Question 24mcq
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