GEOMETRIC DRAWINGS WORKSHEET

Problem 1 :

Use geometry software to draw a triangle whose sides have the following lengths: 2 units, 3 units, and 4 units.

Problem 2 :

Use geometry software to draw a triangle with sides of length 2, 3, and 6 units, and one with sides of length 2, 3, and 5 units. Do the line segments form triangles? How does the sum of the lengths of the two shorter sides of each triangle compare to the length of the third side ?

Problem 3 :

Do two segments of lengths a and b units and a longer segment of length c units form one triangle, more than one, or none ?

Problem 4 :

Use a ruler and a protractor to draw a triangle for the given measures.

Angles : 30° and 80°

Length of included side : 2 inches

Problem 5 :

Will a triangle be unique if you know all three angle measures but no side lengths ?

Problem 6 :

a) All the sides of an __________ triangle are equal

b) A triangle can have _________ right angle.

c) Each angle of an acute angled triangle is ________than 90 degree.

d) The sum of the two acute angles in a right angled triangle is ______________

e) In a scalene triangle the measures of all three angles are ______________

Problem 7 :

State True or False

a)  A Triangle having two sides of equal length is called iso scales triangle .

b) The sum of three angles of a triangle is greater than 180 degree

c) The sum of two acute angle of a right angled triangle is 45 degree

d)  A triangle having two of its angles 30 degree, 70 degree is a scalene triangle.

e)  A triangle can have all the three angles less than 60 degree.

Problem 8 :

A drawing is shown. What does the drawing show?

a)  Two line segments that appear to be parallel

b)  Two line segments that appear to be perpendicular

c) Two lines that appear to be parallel

d)  Two lines that appear to intersect

Problem 9 :

Angle T is shown on this protractor

What is the measure of angle T in degrees?

a) 150° because 180° – 30° = 150°

b) 120° because 150° – 30° = 120°

c)  60° because 30° + 30° = 60°

d)  30° because 180° – 150° = 30°

1. Answer :

Step 1 :

Draw the segments. 

Step 2 :

Let AB be the base of the triangle. Place point C on top of point B and point E on top of point A.

Step 3 :

Using the points C and E as fixed vertices, rotate points F and D to see if they will meet in a single point.

2. Answer :

1 st  :  no, 2 + 3 < 6

2 nd  :  no; 2 + 3  =  5

3. Answer :

One triangle if a + b > c ; none if a + b ≤ c.

4. Answer :

Step 1 :

Use a ruler to draw a line that is 2 inches long. This will be the included side.

Step 2 :

Place the center of the protractor on the left end of the 2-in. line. Then make a 30°-angle mark.

Step 3 :

Draw a line connecting the left side of the 2-in. line and the 30°-angle mark. This will be the 30° angle.

Step 4 :

Repeat Step 2 on the right side of the triangle to construct the 80° angle.

Step 5 :

The side of the 80° angle and the side of the 30° angle will intersect. This is Triangle 1 with angles of 30° and 80° and an included side of 2 inches.

5. Answer :

Yes, the two angles and the length of the included side determine the point at which the sides meet. The triangle is unique.

6. Solution :

a) All the sides of an equilateral triangle are equal

b) A triangle can have one right angle.

c) Each angle of an acute angled triangle is lesser than 90 degree.

d) The sum of the two acute angles in a right angled triangle is 90 degree

e) In a scalene triangle the measures of all three angles are different.

7. Solution :

State True or False

a)  A Triangle having two sides of equal length is called iso scales triangle .

True

b) The sum of three angles of a triangle is greater than 180 degree

False

The sum of interior angles of a triangle is 180 degree.

c) The sum of two acute angle of a right angled triangle is 45 degree.

False

In a right triangle on angle measure should be 90 degree, the sum of other two angles is 90 degree.

d)  A triangle having two of its angles 30 degree, 70 degree is a scalene triangle.

True

e)  A triangle can have all the three angles less than 60.

False

When all angles lesser than 60 degree, then it's sum will be lesser than 180 degree.

8. Solution :

The lines are parallel.

9. Solution :

What is the measure of angle T in degrees?

a) 150° because 180° – 30° = 150°

Kindly mail your feedback to v4formath@gmail.com

We always appreciate your feedback.