Sec 5NA Mathematics - Homework SECONDARY SCHOOL HW 3.2 In the diagram, AB // DC, 4ACB= LCDA, AB = 27 cm, DC= 12 cm and AD= 15 cm. a) Show that AABC is similar to ACAD. b) Find the length of AC. [18cm] c) Find the length of BC. [22.5 cm] o) In AABG and AGAD, %3D 12 15 5.
Sec 5NA Mathematics - Homework SECONDARY SCHOOL HW 3.2 In the diagram, AB // DC, 4ACB= LCDA, AB = 27 cm, DC= 12 cm and AD= 15 cm. a) Show that AABC is similar to ACAD. b) Find the length of AC. [18cm] c) Find the length of BC. [22.5 cm] o) In AABG and AGAD, %3D 12 15 5.
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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![In the diagram, D is a point on BC. AD BC, BAD = LACD, BD=9 cm and
DC
a) Show that AABD is similar to ACAD.
b) Find the length of AD. [12 cm]
c) Find the length of AB. [15 cm]
4.
16cm.
0)* ADB= 180°-90°(adj-%s on o st-line)
%3D
=D90°
B.
16
In AABD and ACAD,
BAD=YAGD (given)
¥BDA =XADC - 90°
*0BA =XDAGIXSs som of A)
%3D
ABD is similar to ACAD (3 pairs of corl-Ls are equal)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff5a473f5-e5a7-4252-803d-aba410a3634b%2F9bd275ba-12bf-436e-8237-1ed2cade29ef%2Fjn6lgic_processed.jpeg&w=3840&q=75)
Transcribed Image Text:In the diagram, D is a point on BC. AD BC, BAD = LACD, BD=9 cm and
DC
a) Show that AABD is similar to ACAD.
b) Find the length of AD. [12 cm]
c) Find the length of AB. [15 cm]
4.
16cm.
0)* ADB= 180°-90°(adj-%s on o st-line)
%3D
=D90°
B.
16
In AABD and ACAD,
BAD=YAGD (given)
¥BDA =XADC - 90°
*0BA =XDAGIXSs som of A)
%3D
ABD is similar to ACAD (3 pairs of corl-Ls are equal)
![ANTHONY CANOSSIAN SECONDARY SCHOOL
Sec 5NA Mathematics - Homework
HW 3.2
5.
In the diagram, AB // DC, LACB= LCDA, AB = 27 cm, DC = 12 cm and AD= 15 cm.
a) Show that AABC is similar to ACAD.
b) Find the length of AC. [18cm]
c) Find the length of BC. [22.5 cm]
o) In AABC and AGAD,
12
15
B
27
7.
In the diagram, ABC, AED and CEF are straight lines. AF / BE || CD, AB = 20 cm,
BC = 30 cm, AF= 25 cm, BE= x cm and CD = y cm.
a) Name a triangle that is similar to AACF. State the reason for the similarity.
b) Find the value of x. [15]
c) Find the value of y. [37.5]
F
25
20
30](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff5a473f5-e5a7-4252-803d-aba410a3634b%2F9bd275ba-12bf-436e-8237-1ed2cade29ef%2Fugzpzfu_processed.jpeg&w=3840&q=75)
Transcribed Image Text:ANTHONY CANOSSIAN SECONDARY SCHOOL
Sec 5NA Mathematics - Homework
HW 3.2
5.
In the diagram, AB // DC, LACB= LCDA, AB = 27 cm, DC = 12 cm and AD= 15 cm.
a) Show that AABC is similar to ACAD.
b) Find the length of AC. [18cm]
c) Find the length of BC. [22.5 cm]
o) In AABC and AGAD,
12
15
B
27
7.
In the diagram, ABC, AED and CEF are straight lines. AF / BE || CD, AB = 20 cm,
BC = 30 cm, AF= 25 cm, BE= x cm and CD = y cm.
a) Name a triangle that is similar to AACF. State the reason for the similarity.
b) Find the value of x. [15]
c) Find the value of y. [37.5]
F
25
20
30
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