Congruent Triangles PDF - Corbettmaths 2019
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Uploaded by SweetOganesson9329
Australian International School
2019
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Summary
This worksheet from Corbettmaths contains questions on congruent triangles. The questions and exercises cover various aspects of congruent triangles in geometry. It is designed to support GCSE maths students.
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! Congruent Triangles Video 67 on www.corbettmaths.com iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii Examples iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii...
! Congruent Triangles Video 67 on www.corbettmaths.com iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii Examples iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii Workout Click here iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii Question 1: The following pairs of triangles are congruent, state the condition that shows they are congruent. (a) (b) (c) (d) (e) (f) (g) (h) (i) Question 2: Shown are six triangles. Which triangles are congruent? © CORBETTMATHS 2019 ! Congruent Triangles Video 67 on www.corbettmaths.com Question 3: In triangle ABC, AB = 7cm, ∠BAC = 50° and ∠ABC = 35° In triangle DEF, EF = 7cm, ∠DEF = 35° and ∠DFE = 50° Are triangles ABC and DEF congruent? If they are, state the condition. Question 4: In triangle GHI, GH = 7cm, HI = 4cm and GI = 5cm. In triangle JKL, JK = 7cm, KL = 4.5cm and JL = 5cm. Are triangles GHI and JKL congruent? If they are, state the condition. Question 5: In triangle MNO, ∠MNO = 50°, ∠NOM = 60° and ∠OMN = 70° In triangle PQR, ∠PQR = 50°, ∠QRP = 60° and ∠RPQ = 70° Are triangles MNO and PQR congruent? If they are, state the condition. Question 6: In triangle STU, SU = 13cm, ∠TSU = 20° and ∠TUS = 30° In triangle VWX, WX = 13cm, ∠WXV = 30° and ∠XVW = 20° Are triangles STU and VWX congruent? If they are, state the condition. Apply Question 1: Hannah and Chris each draw a triangle with one side of 3cm, one angle of 35° and one angle of 80°. Hannah says their triangles must be congruent. Is Hannah correct? Question 2: Paul and Greg each draw a triangle with one side of 3cm, one side of 9cm and one side of 10cm. Greg says their triangles must be congruent. Is Greg correct? Question 3: Carl and Michael each draw a triangle with one angle of 58°, one angle of 68° and one angle of 54°. Carl says their triangles must be congruent. Is Carl correct? Question 4: ABCD is a parallelogram. Prove that triangles ABD and BCD are congruent. Question 5: In the diagram, the lines CE and DF intersect at G. CD and FE are parallel and CD = FE. Prove that triangles CDG and EFG are congruent. iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii Answers iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii Click here © CORBETTMATHS 2019