Congruent Triangles PDF - Corbettmaths 2019

Document Details

SweetOganesson9329

Uploaded by SweetOganesson9329

Australian International School

2019

Tags

congruent triangles geometry maths gcse maths

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.

Full Transcript

! 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

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