GCSE Secondary Maths Age 13-17 - Algebra: Cosine Rule - Explained

GCSE Secondary Maths Age 13-17 - Algebra: Cosine Rule - Explained

Assessment

Interactive Video

Created by

Quizizz Content

Mathematics

10th - 12th Grade

Hard

The video tutorial explains how to prove that line AC is equal to line BD in a quadrilateral ABCD, where AB equals CD and angle ABC equals angle BCD. The teacher separates the quadrilateral into two triangles, ABC and BCD, to demonstrate congruency using the side-angle-side condition. By proving the triangles congruent, it is concluded that AC equals BD. The tutorial also highlights the importance of identifying common elements and reviews the four conditions of congruency.

Read more

7 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the initial problem statement involving quadrilateral ABCD?

Prove that AC is equal to BD

Prove that ABCD is a rectangle

Prove that AB is equal to CD

Prove that angle ABC is equal to angle BCD

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why does the speaker separate the quadrilateral into two triangles?

To change the problem statement

To simplify the proof process

To prove that ABCD is a square

To make the diagram more complex

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which condition of congruency is used to prove the triangles are congruent?

Right Angle-Hypotenuse-Side

Side-Angle-Side

Angle-Side-Angle

Side-Side-Side

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the significance of the common side BC in the proof?

It is irrelevant to the proof

It helps in proving the triangles are congruent

It shows that AC is longer than BD

It proves that ABCD is a parallelogram

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What conclusion is drawn from the congruency of the triangles?

AB is equal to CD

AC is longer than BD

Angle ABC is equal to angle BCD

AC is equal to BD

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is NOT a condition of congruency?

Side-Angle-Side

Side-Side-Side

Angle-Angle-Angle

Angle-Side-Angle

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the easiest way to approach the problem according to the speaker?

By using a calculator

By assuming AC is equal to BD

By separating the quadrilateral into two triangles

By drawing the original diagram