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.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
Related questions
Question
![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?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fddf2529d-45ad-4068-b8b5-9fdbc1bae113%2F329a0306-1f35-4879-9539-bd006c2a89d3%2F6c6t2hf_processed.jpeg&w=3840&q=75)
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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