Angles, Triangles, and Parallelograms

Tammy reviews 20 geometry topics for a first semester final exam. The video covers segment and angle addition postulates, central angles, parallel lines, transversals, triangle classification, theorems, Pythagorean theorem, congruent triangles, and properties of quadrilaterals and parallelograms. Each topic is explained with examples and algebraic solutions.

If the length of segment PR is 19, and PR is divided into segments PQ and QR such that PQ = 2x - 2 and QR = 2x - 7, what is the length of PQ?

• 16

• 14

• 18

• 12

Given two angles A and B are adjacent and form a right angle, what is the relationship between angles A and B?

• Linear Pair

• Vertical

• Supplementary

• Complementary

In a circle, if the sum of two central angles is 296 degrees, what is the measure of the missing angle to complete the circle?

• 94 degrees

• 64 degrees

• 84 degrees

• 74 degrees

If an angle bisector divides an angle into two equal parts, and the measures of the two parts are 17x and 18x - 1, what is the value of x?

• 1

• 2

• 3

• 4

What is the relationship between two angles that are on the same side of a transversal and inside two parallel lines?

• Alternate Exterior

• Corresponding

• Same Side Interior

• Alternate Interior

A triangle has sides of different lengths and all angles less than 90 degrees. How would you classify this triangle?

• Equilateral

• Scalene Acute

• Isosceles Acute

• Scalene Obtuse

Using the Triangle Sum Theorem, if two angles in a triangle are 87 and 31 degrees, what is the measure of the third angle?

• 72 degrees

• 92 degrees

• 62 degrees

• 82 degrees

In a parallelogram, if one angle is 5x + 3 and the adjacent angle is 18x - 7, what is the value of x if these angles are supplementary?

• 8

• 9

• 10

• 11

If the diagonals of a parallelogram bisect each other, and one diagonal is 24 and the other is 2x + 24, what is the value of x?

• 0

• 1

• 2

• 3

According to the converse of the Pythagorean Theorem, if c^2 = a^2 + b^2, what type of triangle is it?

• Equilateral Triangle

• Obtuse Triangle

• Acute Triangle

• Right Triangle