begin your construction, draw a rough sketch to see how you should position it.can measure the remaining angles and/or sides ir you need their values. BeforeyDeYou can accurately construct a triangle if you know the lengths of all three oed, yoits sides.Example1. Construct APQR with PQ = 10 cm, QR = 8 cm and PR = 5 cm.Extend PQ to B, QP to A and PR to C. Check, by measurement andcalculation, that each exterior angle is equal to the sum of the interioropposite angles.2.Construction1. Construct PQ = 10 cm and mark off Point P and Point Q. Place the point etyour compass accurately on Point P and draw an arc of 5 cm. Now plathe point of the compass accurately on Point Q and draw an arc of 8 cmThe two arcs intersect at R.82985 cm8 cm128150"52°30A10 cmBPRQ + PQR = 98° + 30° = 128° = APRRPQ + PQR = 52° + 30° = 82° = CRQRPQ + PRQ = 52° + 98° = 150° = RQBEXERCISE 12.6You may not use a protractor in this exercise.1. AABC has AB = AC = BC = 7 cm.a)Construct AABC, showing all construction lines.b)What type of triangle is AABC?c) Drop a perpendicular from A to BC and let it intersect BC at D.d)State the ratio AB:BD in its simplest form.e)What do you notice about AABD and AACD?

We will construct a triangle by using the given information as shown below

You may not use a protractor in this exercise. 1. AABC has AB = AC = BC = 7 cm. %3D a) Construct AABC, showing all construction lines. b) What type of triangle is AABC? c) Drop a perpendicular from A to BC and let it intersect BC at D. d) State the ratio AB:BD in its simplest form. e) What do you notice about AABD and AACD?

You may not use a protractor in this exercise. 1. AABC has AB = AC = BC = 7 cm. %3D a) Construct AABC, showing all construction lines. b) What type of triangle is AABC? c) Drop a perpendicular from A to BC and let it intersect BC at D. d) State the ratio AB:BD in its simplest form. e) What do you notice about AABD and AACD?

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter4: Quadrilaterals

Section4.4: The Trapezoid

Problem 22E: In trapezoid RSTV, RVST,mSRV=90, and M and N are midpoints of the nonparallel sides. a What type of...

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