Which among the following is used to construct a triangle?
S.S.S. criterion can be used indirectly to construct a triangle given the lengths of its three sides.
In the given figure, find the measure of ∠ROT, if PQ=QR and ∠QPR=60o.
ΔPQR is isosceles since PQ=QR. ∴ ∠QPR=∠QRP=60o. ∠RQT is the exterior angle of ΔPQR which is equal to the sum of interior opposite angles ∠P and ∠R . Hence, ∠RQT=60o+60o=120o.
A triangular sign board is isosceles. If the unequal side is 7 cm and one of the equal sides is 6 cm, what is the measure of the third side?
Which of the following statements is incorrect?
Identify the true statement.
In which of the following cases is the construction of a triangle not possible?
Unless and until you know length of one side you cannot tell at what distance the angles have to be drawn.
A Choose the correct option in which a triangle CANNOT be constructed with the given lengths of sides.
The difference of any two sides of a triangle must be less than the third side. This property of triangles is not satisfied by the given measurements as 0−7=3>2 and 10−2=8>7,though 7−2=5<10 is true.
Direction: David folds a sheet of paper. The dotted lines as shown in the figure are the creases formed, which are named as l, m and n. Which of the following is true?
Clearly, l||m is true.
Direction: David folds a sheet of paper. The dotted lines as shown in the figure are the creases formed, which are named as l, m and n. What can you say about lines I and n?
A 90o angle is formed at the intersection of l and n. So l⊥n
Direction: David folds a sheet of paper. The dotted lines as shown in the figure are the creases formed, which are named as l, m and n. What do you call the line n with respect to the lines I and m?
'n? cuts I and m at distinct points and also I and m are parallel. So, n is called the transversal.
Which of the following is used to draw a line parallel to a given line?
A line parallel to a given line can be drawn using a ruler and a compass.
How many parallel lines can be drawn passing through a point not on the given line?
Through a given point, an infinite number of lines can be drawn. But only one of them will be parallel to the given line.
Based on the sides of a triangle, which of the following is a classification of triangles?
Which type of triangle is in the classification based on angles?
In which of the following cases can a triangle be constructed?
The measurements of ΔDEFare EF=8.4 cm, ∠E=103o and ∠F=85o. Which of the following is correct?
The triangle cannot be constructed as it does not satisfy the angle sum property.
In ΔXYZ, x, y and z denote the three sides. Which of the following is incorrect'?
The difference of two sides of a triangle is less than its third side.
Which of the following can be used to construct a 30o angle?
Bisecting a 60o angle results in a 30o angle.
Study the steps of construction given.
Step1: Draw a ray OA.
Step2: With O as centre and any convenient radius draw an arc MN to cut at M.
Step3: With M as centre and the same radius draw an arc to cut MN at P.
Step4: With P as centre and the same radius, draw an arc to cut MN at Q.
Step5: Draw OQ and produce it to D. An angle AOD is constructed.
What is the measure of ∠AOD ?
The given steps of construction are to construct an angle of 120o.
Satish followed the steps given in the box.
Step 1: Construct an angle of 90∘.
Step 2: Bisect the 90∘ angle.
Step 3: Bisect one of the angles obtained in step 2.
Which steps is not required to construct a 45o angle?.
Following steps 1 and 2, an angle of 45o is constructed. So step 3 is not required.