Triangle Construction and Angle Measures

This video tutorial is part of Module 6 for seventh grade, focusing on constructing unique triangles given two angles and a side. The instructor guides students through constructing two triangles, XYZ and ST, using protractors and rulers. The tutorial emphasizes the importance of accurate angle measurements and how they affect side lengths. Students are encouraged to complete additional exercises independently, with a note that not all triangle constructions will be perfect.

What is the sum of the interior angles in any triangle?

• 270 degrees

• 360 degrees

• 90 degrees

• 180 degrees

If two angles of a triangle are 30 degrees and 50 degrees, what is the measure of the third angle?

• 120 degrees

• 100 degrees

• 60 degrees

• 80 degrees

When constructing triangle XYZ, what is the length of side XY?

• 6 cm

• 7 cm

• 3.1 cm

• 4.7 cm

What is the importance of drawing lines long when constructing triangles?

• To make the drawing look better

• To ensure accurate angle measurement

• To use more paper

• To confuse the viewer

In a right triangle, if one angle is 90 degrees and another is 45 degrees, what is the measure of the third angle?

• 30 degrees

• 45 degrees

• 60 degrees

• 90 degrees

What is the length of side ST in the right triangle constructed in the lesson?

• 5 cm

• 7 cm

• 6 cm

• 8 cm

If angle S is 90 degrees and angle T is 45 degrees, what is the measure of angle R?

• 90 degrees

• 60 degrees

• 45 degrees

• 30 degrees

Why is it important to verify the angle measures after constructing a triangle?

• To ensure the triangle is colorful

• To confirm the triangle is unique

• To check the accuracy of the construction

• To make the triangle larger

What should you do if the given angle measures do not match the side lengths in a triangle construction?

• Change the side lengths

• Conclude that the triangle cannot be constructed

• Recalculate the angles

• Ignore the mismatch

What should you do if your triangle construction does not match the expected measurements?

• Check your angle and side measurements

• Use a different protractor

• Start over

• Ignore the differences