Exercise 12.5 1. In each question, first identify the type of quadrilateral and then determine the value of the sides and angles marked by lower case letters. a) A b) c) M450 d) o 85 9 cm 47° a e) K S 4 cm r X a -5 cm U 7 cm 2 102 E ith PO = 5 cm and PS = 12 cm f) M R 2- P G b *+ 98 10 cm 24° y 82 12 cm O H 6 cm E +6 cm 'С

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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Related questions
Question
ZS
90°
4 cm
er)
1. In each question, first identify the type of quadrilateral and then determine the
value of the sides and angles marked by lower case letters.
b)
C)
Exercise 12.5
a)
d)
50°
85°
96
9 cm
X
(i) EHF
(iv) F₁
47°
U
e) size of Q₁
f) size of PSR
g) size of QPS.
e)
Term 2 Week 6
K
S
4 cm
102°
E
2. PQRS is a rectangle with PQ = 5 cm and PS
a) Calculate the length of PR.
b) Determine the length of PM.
c) If PSM = 24°, calculate the size of MSR.
d) Hence calculate the size of SMR.
3. DEFG is a rhombus, with EF
a) Write down the lengths of FG, DG and ED.
b) Write down the sizes of:
(ii) EDH
(v) Ê₁ + Ê₂
4. PQRS is a kite with MQ = 4 cm,
PM = 3 cm and QR = 9 cm.
POM= 37° and QÂM = 26°.
Determine the:
a) size of M₁
b) length of PQ
y
X
P
7 cm
5 cm and PS = 12 cm.
5 cm
Z
= 8 cm and EDG = 64°.
1
2
(iii) EFG
(vi) Ĝ₁.
3 cm
Q
37°
M
c) length of PS
S
d) length of MR, correct to one decimal place
f)
4 cm
M
Z
C
9 cm
P
5 cm
a
64°
a
26°
10 cm
98°
24°
H
#
H
y
12 cm
E
M
12
82
21
H
6 cm
E
-6 cm
U
Chapter 12 Geometry of 2D shapes 153
Transcribed Image Text:ZS 90° 4 cm er) 1. In each question, first identify the type of quadrilateral and then determine the value of the sides and angles marked by lower case letters. b) C) Exercise 12.5 a) d) 50° 85° 96 9 cm X (i) EHF (iv) F₁ 47° U e) size of Q₁ f) size of PSR g) size of QPS. e) Term 2 Week 6 K S 4 cm 102° E 2. PQRS is a rectangle with PQ = 5 cm and PS a) Calculate the length of PR. b) Determine the length of PM. c) If PSM = 24°, calculate the size of MSR. d) Hence calculate the size of SMR. 3. DEFG is a rhombus, with EF a) Write down the lengths of FG, DG and ED. b) Write down the sizes of: (ii) EDH (v) Ê₁ + Ê₂ 4. PQRS is a kite with MQ = 4 cm, PM = 3 cm and QR = 9 cm. POM= 37° and QÂM = 26°. Determine the: a) size of M₁ b) length of PQ y X P 7 cm 5 cm and PS = 12 cm. 5 cm Z = 8 cm and EDG = 64°. 1 2 (iii) EFG (vi) Ĝ₁. 3 cm Q 37° M c) length of PS S d) length of MR, correct to one decimal place f) 4 cm M Z C 9 cm P 5 cm a 64° a 26° 10 cm 98° 24° H # H y 12 cm E M 12 82 21 H 6 cm E -6 cm U Chapter 12 Geometry of 2D shapes 153
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