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Properties of Parallelograms and Midpoints

Properties of Parallelograms and Midpoints

Assessment

Interactive Video

•

Mathematics

•

9th - 10th Grade

•

Practice Problem

•

Hard

Created by

Thomas White

FREE Resource

The video tutorial explains how to find the fourth vertex of a parallelogram ABCD given three vertices. It introduces the concept of diagonals bisecting each other in a parallelogram and uses the midpoint formula to calculate the coordinates of the missing vertex D. The tutorial provides a step-by-step calculation, resulting in the coordinates of D being (3, 5).

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15 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What are the given coordinates of vertex A?

(6, 6)

(4, 3)

(1, 2)

(3, 5)

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which property of a parallelogram is used to find the fourth vertex?

Opposite angles are equal

All angles are right angles

Diagonals bisect each other

Opposite sides are equal

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is NOT a property of a parallelogram?

All sides are equal

Diagonals bisect each other

Opposite sides are equal

Opposite angles are equal

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the formula for finding the midpoint between two points?

((x1 * x2)/2, (y1 * y2)/2)

((x1 + x2)/2, (y1 + y2)/2)

(x1 - x2, y1 - y2)

(x1 + x2, y1 + y2)

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the significance of the midpoint in this problem?

It helps find the perimeter

It helps find the fourth vertex

It helps find the area

It helps find the angles

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in finding the fourth vertex of a parallelogram?

Calculate the area

Use the midpoint formula

Measure the angles

Find the perimeter

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you calculate the x-coordinate of the midpoint?

(x1 + x2)/2

(x1 - x2)/2

(x1 / x2)/2

(x1 * x2)/2

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