Triangle Properties and Angle Measures

The video tutorial covers various geometry topics, including coordinate transformations, triangle similarity and congruence, special right triangles, triangle inequalities, polygon interior angles, and circle geometry. It explains how to identify triangle vertices through transformations, use the side-angle-side theorem for triangle similarity, calculate side lengths in special right triangles, and understand the properties of chords in circles. The tutorial also discusses the sum of interior angles in polygons and the application of triangle inequalities.

What are the new coordinates of point K after a 90-degree rotation to the left?

• (1, 1)

• (-1, 1)

• (1, -1)

• (-1, -1)

Which theorem is used to prove that two triangles are similar by comparing two sides and the included angle?

• SAS

• ASA

• AAS

• SSS

If the diagonal of a square is 14 cm, what is the length of one side?

• 14√2 cm

• 7 cm

• 14 cm

• 7√2 cm

What values of X and Y make triangles MNO and PRT congruent?

• X=12, Y=28.6

• X=11, Y=27.6

• X=13, Y=29.6

• X=10, Y=25.6

Which similarity theorem states that two triangles are similar if two angles of one triangle are congruent to two angles of another triangle?

• SAS

• SSS

• AA

• ASA

In a right triangle, if the opposite side is 8 and the adjacent side is 7.8, what is the angle measure closest to X?

• 47.7 degrees

• 44.7 degrees

• 46.7 degrees

• 45.7 degrees

According to the triangle inequality theorem, if two sides of a triangle are 84 and 63, what is the possible range for the third side?

• Greater than 21 and less than 147

• Greater than 20 and less than 150

• Greater than 22 and less than 145

• Greater than 23 and less than 148

Which of the following is a Pythagorean triple?

• 15, 20, 25

• 20, 21, 29

• 9, 12, 15

• 10, 24, 26

In an isosceles triangle, if one base angle is 58 degrees, what is the measure of the other base angle?

• 61 degrees

• 62 degrees

• 58 degrees

• 60 degrees

In triangle RST, if RS is 14 inches, ST is 10 inches, and TR is 16 inches, which angle is the smallest?

• Cannot be determined

• Angle T

• Angle S

• Angle R