Practical Geometry quiz

To construct a triangle with three given sides, we use the:

In triangle ABC, the angle included between sides AB and BC is:

Which set of lengths can form a triangle?

The construction of a line parallel to a given line uses equal:

RHS stands for:

Given only three angles of a triangle, we can construct:

Which instrument is used to draw arcs of equal length?

For ASA construction we need:

A triangle with angles 100 degrees and 90 degrees:

In a right triangle the hypotenuse is:

Why cannot a triangle be constructed with sides 3 cm, 4 cm and 8 cm? (2 marks)

Name the included angle between PQ and PR in triangle PQR and the included side between angles Q and R. (2 marks)

What measurements are needed for the SAS criterion? (2 marks)

Two angles of a triangle are 45 degrees and 75 degrees. Find the third angle. (2 marks)

Why are construction arcs not erased? (2 marks)

How can you check with a set square whether two lines are parallel? (2 marks)

In a right triangle, the hypotenuse is 10 cm and one side is 6 cm. Find the other side. (2 marks)

Can you construct a triangle with angles 60, 60 and 60 degrees and side 5 cm? What kind of triangle is it? (2 marks)

Write two steps to construct an angle of 60 degrees with a compass. (2 marks)

Is a triangle with sides 7 cm, 7 cm and 7 cm possible? Name it. (2 marks)

The sides of a triangle are x cm, 5 cm and 8 cm, where x is a whole number. Find the smallest and largest possible values of x. (3 marks)

In triangle DEF, angle D = 50 degrees and angle E = angle F. Find angles E and F and name the criterion if DE = DF = 5 cm is also given. (3 marks)

A right triangle has legs 9 cm and 12 cm. Find the hypotenuse. If you are given the hypotenuse and one leg, which criterion will you use? (3 marks)

In triangle ABC, angle A = 2 x angle B and angle C = 3 x angle B. Find all three angles. Which angle is the largest? (3 marks)

Check which of these can be triangles: (i) 6 cm, 8 cm, 10 cm (ii) 1.5 cm, 3.5 cm, 5 cm (iii) 4 cm, 4 cm, 7 cm. For any that can, state if it is right-angled. (3 marks)

Read the passage and answer the questions. A carpenter must fix a shelf parallel to the floor through a nail on the wall. He uses a slanted support rod as a transversal. (i) Which angle must he copy at the nail? (ii) Which angle pair property makes the shelf parallel? (iii) If the rod makes 40 degrees with the floor, what angle should the shelf make with the rod? (5 marks)

Read the passage and answer the questions. Riya wants to draw a triangular flag with sides 6 cm, 8 cm and 10 cm. (i) Which criterion will she use? (ii) Is the triangle right-angled? Justify. (iii) Which side is the hypotenuse? (5 marks)

Read the passage and answer the questions. A ramp must be built with its base along the ground 4 m long and its sloping surface 5 m long, meeting a vertical wall at a right angle. (i) Which criterion is used to draw a scale model? (ii) Find the height of the wall at the top of the ramp. (iii) Draw the model at a scale of 1 cm = 1 m in words. (5 marks)

Read the passage and answer the questions. Two friends sketch a triangle with angles 50 degrees, 60 degrees and 70 degrees but get different sizes. (i) Are both triangles correct? (ii) Why are the sizes different? (iii) What extra measurement would make the triangle unique? (5 marks)

Read the passage and answer the questions. A surveyor marks two posts A and B 50 m apart and sights a tree C, measuring angle CAB = 60 degrees and angle CBA = 70 degrees. (i) Which criterion lets him draw the triangle? (ii) Find angle ACB. (iii) Using a scale of 1 cm = 10 m, what length will AB be on paper? (5 marks)

Construct triangle ABC with AB = 5 cm, BC = 6 cm and AC = 7 cm. Write the steps and measure the largest angle. (6 marks)

Construct triangle DEF with DE = 5 cm, DF = 3 cm and angle EDF = 90 degrees. Measure EF. Write the steps of construction. (6 marks)

Construct triangle PQR with angle P = 60 degrees, angle Q = 45 degrees and PQ = 6 cm. Find angle R by calculation and verify by measuring. (6 marks)

Draw a line AB and a point P 4 cm above it. Construct a line through P parallel to AB using the equal alternate angles method, and write all the steps. (6 marks)

Construct a right-angled triangle PQR with angle Q = 90 degrees, QR = 8 cm and hypotenuse PR = 10 cm. Write the steps. Measure PQ and verify using the relation between the sides of a right triangle. (6 marks)