Page 42 - CT&AI_CLasa_7_Part_1

pART–II

Geometric twins

1

computational thinking quest

Tick ( ) the correct option.

1. Two triangles are congruent by the SAS 4. In a construction project, two triangles ABC
condition. If you rotate one triangle 90 degrees and DEF are placed adjacent to each other.
and flip it horizontally, what happens to their The following information is given.
congruence? (Algorithmic Thinking) AB = DE = 6 cm, BC = EF = 8 cm and ∠ABC
= ∠DEF = 90° which of the following methods
(a) They are no longer congruent.
can be used to prove that these two triangles
are congruent? (Critical Thinking)
(b) They remain congruent because
shape and size are preserved. (a) By comparing angles and side
lengths.
(c) They are only congruent if they are
equilateral. (b) By applying the SSS condition

(d) They become "Similar" but not (c) By using the RHS condition for right-
"Congruent." angled triangles
2. A rectangular piece of paper is folded exactly in
half twice (once vertically, once horizontally). (d) By using the SAS condition
When unfolded, the crease lines intersect at 5. In the given figure not down to scale, All line
the centre. How many pairs of congruent non- segments marked with a single line ‘I’ are
overlapping rectangles are formed? equal to each other and those marked with
(Algorithmic Thinking) double ‘II’ are equal to each other etc.
Find the measure of ∠AOB + ∠BOC + ∠COD +
(a) 2 (b) 4 ∠DOE. (Abstract Thinking)
A E
(c) 5 (d) 1
O 45°
3. In a "Geometric Twin" scenario, if triangle ABC
40°
≅ triangle DEF, and the perimeter of triangle 45°
ABC is 30 cm, what is the length of side EF if B D
DE = 10 cm and DF = 8 cm? 40° 45°
(Algorithmic Thinking) C

(a) 10 cm (b) 12 cm (a) 250° (b) 275°

(c) 15 cm (d) 8 cm (c) 210° (d) 230°

40 Computational Thinking-7 (Mathematics)