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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
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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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. Beforey De You can accurately construct a triangle if you know the lengths of all three o ed, yo its sides. Example 1. 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 and calculation, that each exterior angle is equal to the sum of the interior opposite angles. 2. Construction 1. Construct PQ = 10 cm and mark off Point P and Point Q. Place the point et your compass accurately on Point P and draw an arc of 5 cm. Now pla the point of the compass accurately on Point Q and draw an arc of 8 cm The two arcs intersect at R. 82 98 5 cm 8 cm 128 150" 52° 30 A 10 cm B PRQ + PQR = 98° + 30° = 128° = APR RPQ + PQR = 52° + 30° = 82° = CRQ RPQ + PRQ = 52° + 98° = 150° = RQB EXERCISE 12.6 You 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?
Transcribed Image Text: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. Beforey De You can accurately construct a triangle if you know the lengths of all three o ed, yo its sides. Example 1. 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 and calculation, that each exterior angle is equal to the sum of the interior opposite angles. 2. Construction 1. Construct PQ = 10 cm and mark off Point P and Point Q. Place the point et your compass accurately on Point P and draw an arc of 5 cm. Now pla the point of the compass accurately on Point Q and draw an arc of 8 cm The two arcs intersect at R. 82 98 5 cm 8 cm 128 150" 52° 30 A 10 cm B PRQ + PQR = 98° + 30° = 128° = APR RPQ + PQR = 52° + 30° = 82° = CRQ RPQ + PRQ = 52° + 98° = 150° = RQB EXERCISE 12.6 You 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?
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