Advertisements
Advertisements
Question
State whether the following quadrilaterals are similar or not:
Solution
Quadrilateral PQRS and ABCD are not similar as their corresponding sides are proportional, i.e. 1:2, but their corresponding angles are not equal.
APPEARS IN
RELATED QUESTIONS
All circles are ______.
All ______ triangles are similar.
Write the truth value (T/F) of each of the following statement
Two polygons are similar if their corresponding angles are proportional.
For each of the following statements state whether true(T) or false (F)
The length of the line segment joining the midpoints of any two sides of a triangles is equal to half the length of the third side.
For each of the following statements state whether true(T) or false (F)
In a ΔABC , AB = 6 cm, ∠A = 45° and AC = 8 cm and in a ΔDEF , DF = 9 cm ∠D = 45° and DE= 12 cm then ΔABC ∼ΔDEF
For each of the following statements state whether true(T) or false (F)
the polygon formed by joining the midpoints of the sides of a quadrilateral is a rhombus.
For each of the following statements state whether true(T) or false (F)
the ratio of the perimeter of two similar triangles is the same as the ratio of the their corresponding medians.
The symbol ~ is used to represent _________ triangles
The height of a tower is measured by a mirror on the ground at R by which the top of the tower’s reflection is seen. Find the height of the tower. If ∆PQR ~ ∆STR
ΔPQR is an equilateral triangle with each side of length 2p. If PS ⊥ QR, then PS is equal to ______.
In a rhombus if d1 = 16 cm, d2 = 12 cm, then the length of the side of the rhombus is ______.
The lengths of the diagonals of a rhombus are 24cm and 32cm, then the length of the altitude of the rhombus is ______.
Given below is the picture of the Olympic rings made by taking five congruent circles of radius 1cm each, intersecting in such a way that the chord formed by joining the point of intersection of two circles is also of length 1cm. Total area of all the dotted regions assuming the thickness of the rings to be negligible is ______.
The lengths of the diagonals of a rhombus are 16 cm and 12 cm. Then, the length of the side of the rhombus is ______.
Observe the figures given below carefully and answer the questions:
Figure A | ![]() |
![]() |
Figure B | ![]() |
![]() |
Figure C | ![]() |
![]() |
- Name the figure(s) where in two figures are similar.
- Name the figure(s) where in the figures are congruent.
-
- Prove that congruent triangles are also similar but not the converse.
OR - What more is least needed for two similar triangles to be congruent?
- Prove that congruent triangles are also similar but not the converse.