Triangle Properties and Theorems

The video tutorial by Mr. Holcomb covers the construction of unique triangles using given angles and sides. It includes step-by-step instructions for constructing triangles XYZ, RST, JKL, and ABC, utilizing tools like protractors and patty paper. The lesson emphasizes the conditions under which a unique triangle can be determined, such as angle-side-angle and angle-angle-side conditions.

What is the condition called when two angles and a non-included side are given to form a unique triangle?

• Side-Angle-Side (SAS)

• Angle-Angle-Side (AAS)

• Angle-Side-Angle (ASA)

• Side-Side-Side (SSS)

In the construction of triangle XYZ, what is the measure of angle Z?

• 30 degrees

• 100 degrees

• 50 degrees

• 80 degrees

What is the length of side XY in triangle XYZ?

• 3 cm

• 4.5 cm

• 6 cm

• 7 cm

In triangle RST, what is the measure of angle T?

• 30 degrees

• 45 degrees

• 60 degrees

• 90 degrees

What theorem is used to verify the side lengths in triangle RST?

• Triangle Sum Theorem

• Congruent Angles Theorem

• Angle Bisector Theorem

• Pythagorean Theorem

In the construction of triangle JKL, what tool is used to align angles accurately?

• Graph Paper

• Paddy Paper

• Compass

• Ruler

What is the measure of angle K in triangle JKL?

• 25 degrees

• 60 degrees

• 105 degrees

• 90 degrees

In triangle ABC, what is the measure of angle A?

• 35 degrees

• 40 degrees

• 105 degrees

• 90 degrees

What is the length of side AC in triangle ABC?

• 6 cm

• 5 cm

• 4 cm

• 7 cm

Which theorem helps verify the angle measures in triangle ABC?

• Pythagorean Theorem

• Angle Bisector Theorem

• Congruent Angles Theorem

• Triangle Sum Theorem