Tick () the correct answer. (a) If the diagonals of a quadrilateral are equal and bisect each other (not at right angles), then the quadrilateral is a (ii) rhombus (iv) rectangle (i) square (iii) parallelogram (b) The length of a rectangle is 8 cm and each of its diagonals measures 10 cm. Its breadth is (ii) 5 cm (iv) 8 cm (i) 6 cm (iii) 4 cm (c) In the given figure, ABCD is a rectangle. If ZAOB = 100°, then ZADO equals C 100° loe A (i) 110° (iii) 65° (ii) 35° (iv) 50°

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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Exercise 3.4
2. The diagonals of a rhombus are 6 cm and 8 cm.
Find the length of a side of the rhombus.
3. PQRS is a rectangle. Find ZOPS, if ZQOR is
given.
1. Tick () the correct answer.
(a) If the diagonals of a quadrilateral are equal
and bisect each other (not at right angles),
then the quadrilateral is a
A82 (a) s
R (b) S
R.
(i) square
(iii) parallelogram
(b) The length of a rectangle is 8 cm and each
of its diagonals measures 10 cm. Its breadth
(ii) rhombus
(iv) rectangle
42
56°
is
4. RACE is a rhombus, as shown. Find the values
(i) 6 cm
(ii) 5 cm
(iv) 8 cm
of x, y and z.
(iii) 4 cm
(c) In the given figure, ABCD is a rectangle. If
ZAOB = 100°, then ZADO equals
12 cm
y.
5. SLIM is a rectangle. Find ZSOL.
100°
M
140°
A
(i) 110°
(ii) 65°
(ii) 35°
(iv) 50°
9 cm
Transcribed Image Text:Exercise 3.4 2. The diagonals of a rhombus are 6 cm and 8 cm. Find the length of a side of the rhombus. 3. PQRS is a rectangle. Find ZOPS, if ZQOR is given. 1. Tick () the correct answer. (a) If the diagonals of a quadrilateral are equal and bisect each other (not at right angles), then the quadrilateral is a A82 (a) s R (b) S R. (i) square (iii) parallelogram (b) The length of a rectangle is 8 cm and each of its diagonals measures 10 cm. Its breadth (ii) rhombus (iv) rectangle 42 56° is 4. RACE is a rhombus, as shown. Find the values (i) 6 cm (ii) 5 cm (iv) 8 cm of x, y and z. (iii) 4 cm (c) In the given figure, ABCD is a rectangle. If ZAOB = 100°, then ZADO equals 12 cm y. 5. SLIM is a rectangle. Find ZSOL. 100° M 140° A (i) 110° (ii) 65° (ii) 35° (iv) 50° 9 cm
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