Theorems in your own words (LCOL) - Project Maths

QuestionWhat is the greatest possible value for thelength of the side a?Answer:Write the theorem you used to solve thisproblem in your own words. Note it is notsufficient to give the number of the theorem.Find the value of the angle ABC.Answer:Find the value of the angle ABC.Answer:Page 2 of 13

QuestionIf lines t and c are parallel, what will be thelength of the line segment DB?Answer:Write the theorem you used to solve thisproblem in your own words. Note it is notsufficient to give the number of the theorem.Find the measure of the angle FDE.Answer:Given that the lines t, s and r are parallel,what will be the length of AC?Answer:Page 3 of 13

QuestionWillABC ACB ?Answer:be greater than or less thanWrite the theorem you used to solve thisproblem in your own words. Note it is notsufficient to give the number of the theorem.Find the length of DE.Answer:What is the length of the line segment EC?Answer:Page 4 of 13

QuestionFind the measure of the angle LOH.Answer:Write the theorem you used to solve thisproblem in your own words. Note it is notsufficient to give the number of the theorem.In the triangle shown could the length of sidec be 8? [The diagram is not drawn to scale]Answer:Find the length of the line segment DE.Answer:Page 5 of 13

QuestionFind the measure of the angles EBA, BAF andACD.Answer:Write the theorem you used to solve thisproblem in your own words. Note it is notsufficient to give the number of the theorem.Determine if the lines a and b are parallel.Answer:Find the length of the line segment DA.Answer:Page 6 of 13

QuestionFind the length of the line segment DB.Answer:Write the theorem you used to solve thisproblem in your own words. Note it is notsufficient to give the number of the theorem.Given ABCD is a parallelogram find the angleDAB.Answer:Given that the area of the triangle ABC is2.8421, find the area of the parallelogramABCD.Answer:Page 7 of 13

QuestionGiven ABCD is a parallelogram, find thelength of AE and the length of DE.Answer:Write the theorem you used to solve thisproblem in your own words. Note it is notsufficient to give the number of the theorem.Find the measure of the angle ABC.Answer:Given the lines a and b are parallel, find themeasure of the angle HOR.Answer:Page 8 of 13

QuestionGiven the area of the parallelogram ABDC is20 cm 2 , find the perpendicular height of theparallelogram.Answer:Write the theorem you used to solve thisproblem in your own words. Note it is notsufficient to give the number of the theorem.Find the length of the line segment AB.Answer:Given that the lines t and c are parallel, findthe length of the segment BD. Answer:Page 9 of 13

QuestionUsing the information supplied in thediagram, state 3 ways in which the area ofthe triangle can be calculated.Answer:Write the theorem you used to solve thisproblem in your own words. Note it is notsufficient to give the number of the theorem.Find the length of the line segment FE.Answer:Given that the circle has centre A and thatthe line l is a tangent to the circle at the pointP, find the angle APC.Answer:Page 10 of 13

QuestionIf the area of the parallelogram ABCD is 6.4find the perpendicular height (h) of thetriangle DCB.Answer:Write the theorem you used to solve thisproblem in your own words. Note it is notsufficient to give the number of the theorem.Given that A is the centre of the circle, Findthe length of ED.Answer:Find the length of DC.Answer:Page 11 of 13

QuestionIf P is the point of contact between the circle(having centre A) and the line l, what is thesize of the angle CPA?Answer:Write the theorem you used to solve thisproblem in your own words. Note it is notsufficient to give the number of the theorem.Find the length of the line segment DE.Answer:Name the centre of this circle.Answer:Page 12 of 13

QuestionGiven the point P, on the circle having centreA, is the line l a tangent to the circle in thediagram opposite?Answer:Write the theorem you used to solve thisproblem in your own words. Note it is notsufficient to give the number of the theorem.Given the areas of the squares B and G are7.128 cm 2 . Find the area of the shadedsquare.Answer:Page 13 of 13