Page 43 - CT&AI_CLasa_7_Part_1

6. In the given figure, it is given that LM = MN, 9. If OA = OB, OC = OD and ∠AOB = ∠COD, then
QM = MR, ML ⊥ PQ and MN ⊥ PR. Then ∠PQR which of the following pairs is true?
is equal to (Critical Thinking) (Decomposition)
P
O

L N

Q C P D
A
(a) ∠PLM (b) ∠QPR
B
(c) ∠NRM (d) ∠MNP
(a) ∠OCP = ∠OPC
7. ABCD is a straight line, with AB = BC = CD. P is
a point not on the straight line, such that PB = (b) OC = CD
PC. Which of the following statements is true?
(Critical Thinking) (c) OA = CD
P
(d) AC = BD
10. 24. In the given figure, ABC is an isosceles
triangle in which AB = AC. If E and F be the
A B C D
midpoints of AC and AB respectively, then BE
(a) PA = PB (b) PB = PD is equal to . (Critical Thinking)
A
(c) PA = PD (d) None of these
8. A 4 x 4 grid of squares is drawn. How many F E
squares of any size can be found that are
congruent to a 2 x 2 square? B C
(Algorithmic Thinking)
(a) AB (b) CE
(a) 4 (b) 9
(c) CF (d) BF
(c) 16 (d) 25

Ravi and Priya are working on designing identical triangular flags for a school
event. Each flag is a triangle with all sides measured in centimeters.

Flag designed by Ravi (DABC): Flag designed by Priya (DPQR):
AB = 12 cm A P
BC = 16 cm 3x cm 6x – 4
AC = 20 cm 12 cm 20 cm
B C Q 3x + 4 R
16 cm
If DABC ≅ DPQR , what is the value of x? Also, what is the perimeter (in cm) of
each flag?

(a) x = 4, Perimeter = 48 cm (b) x = 5, Perimeter = 6 cm

(c) x = 6, Perimeter = 72 cm (d) x = 7, Perimeter = 80 cm

Geometric Twins 41