Exploring Properties of Parallelograms

The video tutorial covers the properties of parallelograms, including congruent opposite sides and angles, bisecting diagonals, and the effect of parallel lines on transversals. It explains how to apply these properties to solve geometric problems, including finding unknown values and proving theorems. The tutorial also demonstrates solving equations using substitution and segment addition postulates.

What is the property of opposite sides in a parallelogram?

• They are not equal.

• They are bisected.

• They are congruent.

• They are perpendicular.

What can be said about the diagonals of a parallelogram?

• They are perpendicular.

• They are congruent.

• They bisect each other.

• They are parallel.

If three or more parallel lines cut off congruent segments on one transversal, what can be concluded?

• They are perpendicular to the transversal.

• They cut off congruent segments on every transversal.

• They form a triangle.

• They are not parallel.

If consecutive angles of a quadrilateral are supplementary, what type of quadrilateral is it?

• Square

• Rectangle

• Parallelogram

• Rhombus

In a parallelogram, if one angle is 70 degrees, what is the measure of its consecutive angle?

• 70 degrees

• 110 degrees

• 90 degrees

• 180 degrees

Given a parallelogram with opposite angles 3y + 37 and 6y + 4, what is the value of y?

• 9

• 12

• 10

• 11

What is the measure of angle H in a parallelogram if angle G is 70 degrees?

• 70 degrees

• 110 degrees

• 180 degrees

• 90 degrees

What is the first step in proving that the diagonals of a parallelogram bisect each other?

• Use the definition of a bisector.

• Show that opposite sides are congruent.

• Show that opposite angles are congruent.

• Start with the given that it is a parallelogram.

In the proof of diagonal bisection, which property is used to show that triangles are congruent?

• Side-Side-Side

• Angle-Side-Angle

• Side-Angle-Side

• Angle-Angle-Side

If EF is 2.5 units and there are three parallel lines cutting off congruent segments, what is the length of EH?

• 5 units

• 7.5 units

• 12.5 units

• 10 units