Page 181 - Maths Skills - 7

The Triangle and Its Properties 179

ASSESSMENT TIME

COMPETENCY BASED QUESTIONS 2. The sum of the angles of a triangle is two right
angles.
A. Multiple-Choice Questions

1. The sum of the angles of a triangle is: 3. The sum of any two sides is greater than the third
(i) 90° (ii) 120° side.
(iii) 160° (iv) 180° 4. In a triangle, the exterior angle is greater than
2. If two angles of a triangle are 65° and 35°, then the sum of its two interior opposite angles.
the third angle is:
(i) 60° (ii) 70° 5. (7, 8, 10) is a Pythagorean triplet.

(iii) 80° (iv) 45°
3. A triangle whose all the sides are equal is: D. Case Study Based Questions
(i) scalene triangle Point A and B are on the opposite edges of a pond as
shown in figure below. To find the distance between
(ii) equilateral triangle the two points, Megha makes a right-angled triangle
(iii) isosceles triangle using rope connecting B with another point C at a
(iv) none of these distance of 12 m, connecting C to point D at a distance
of 40 m from the point C and then connecting D to
4. Two angles of a triangle are complementary. The point A which is at a distance of 30 m from D such

third angle is: as ∠ADC = 90°.
(i) 60° (ii) 90°

(iii) 45° (iv) 35°
5. In a right triangle, the hypotenuse is the: A B 12 m C
(i) sum of the other two sides

(ii) shortest side
(iii) longest side (iv) none of these 30 m 40 m

B. Fill in the Blanks
D

1. In an acute triangle all of its angles are less than
__________ . Answer the following questions on the basis of the

2. Two angles of a triangle are 60° and 50°. The above data.
third angle is __________ . 1. Which property of geometry will be used to find

3. A triangle whose one angle is greater than 90° is the distance AC?

called a/an __________ triangle. (i) Angle sum property
4. If the lengths of two sides of a triangle are equal, (ii) Thales theorem

then it is called a/an __________ triangle. (iii) Inequality theorem
5. In a DPQR if ∠Q = 90°, then PR = __________. (iv) Pythagoras theorem
2
2. What is the distance AC?
C. Write ‘T’ for true and ‘F’ for false statements
1. A triangle whose all angles are greater than 90°, (i) 50 m (ii) 12 m
is called an obtuse triangle. (iii) 100 m (iv) 70 m