Understanding Elementary Shapes | Chapter Assessment | English | Grade 6

If a triangle has 2 acute angles and 1 obtuse angle then it is called ____________

• Acute- angled triangle

• Right- angled triangle

• Obtuse- angled triangle

• Equilateral triangle

Answer explanation

Option 3 is correct as a triangle with 1 obtuse angle is called an obtuse-angled triangle Option 1 is incorrect as a triangle with all acute angles is called an acute-angled triangle Option 2 is also incorrect as a triangle with one right angle is called a right-angled triangle Option 4 is also incorrect as a triangle with all equal angles is an equilateral triangle.

Tags

CCSS.4.G.A.2

In given figure, PQ = QR, QS = PS = SR, and AQ = QB. Hence find number of isosceles triangles in the figure.

• 1

• 2

• 3

• 4

Answer explanation

As PQ = QR, ∆PQR is isosceles triangle. QS =PS = SR , ∆PQS and ∆SQR are isosceles triangle. AQ =QB , ∆AQB is isosceles triangle. Hence there is a total of 4 isosceles triangle

Tags

CCSS.8.G.A.2

Which one among the following polygons has 9 diagonals?

• Heptagon

• Hexagon

• Pentagon

• Octagon

Answer explanation

We can find this answer by drawing the diagonals for all the given polygons and will find that only a hexagon has 9 diagonals. Like in the hexagon ABCDEF, there are 9 diagonals namely AC, AD, AE, BD, BE, BF, CF, CE and DF Alternatively, we can use the formula d = [n(n-3)]/2 in which d is the number of diagonals in a polygon and, n is the number of sides of the polygon by putting d = 9 we get n = 6 hence polygon with 9 diagonals is called hexagon.

If the point P is at a distance of 4 cm from point Q and point R is at a distance of 8 cm from point P then what is the distance between point Q and point R such that points P, Q and R are collinear and P and R are to the right of Q?

• 8 cm

• 4 cm

• 12 cm

• 10 cm

Answer explanation

Option 3 is correct it is given that the there points are collinear and point P and R are to the right of Q so the possible arrangement is as shown in the figure. Hence, QP + PR = QR i.e 4 cm + 8 cm = 12 cm hence option 3 is correct

Tags

CCSS.4.MD.A.2

Which one of the following shapes has two curved edges?

• Cube

• Cuboid

• Cylinder

• Sphere

Answer explanation

Among the given shapes, only cylinder has two curved edges, i.e., it has two circular bases.

Tags

CCSS.1.G.A.1

CCSS.2.G.A.1

Which of the given figures show a perpendicular bisector?

• Figure A

• Figure B

• Figure C

• Figure D

Answer explanation

As figure B shows perpendicular bisector. figure A and D are only perpendicular figure C is only bisector. Hence option 2 is correct answer.

Tags

CCSS.HSG.CO.A.1

Which of the following is not an edge of the given prism?

• FC

• AC

• EF

• DB

Answer explanation

FC is not an edge of the given prism. hence option 1 is correct answer.

Tags

CCSS.6.G.A.4