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Chord segment theorem editable PowerPoint year 9/year 10

Chord segment theorem editable PowerPoint year 9/year 10 preview
Chord segment theorem editable PowerPoint year 9/year 10 preview
Chord segment theorem editable PowerPoint year 9/year 10 preview 2

Look Inside · 10 pages · answer key included

Chord Segment Theorem title slide, the cover of the 25-slide editable presentation
Title slide of the 25-slide presentation
The Formula: chords AC and BD meet at P inside a circle, creating four line segments AP, PC, BP and PD
First slide introducing the formula
Same circle diagram with segments AP, PC, BP and PD each shown in its own color, matching the colored segment names
Formula slide with color-coded segments
The theorem written as AP × PC = BP × PD below the four segment names, beside the labeled circle diagram
Formula slide stating the theorem
AP × PC = BP × PD with chord AC in blue and chord BD in red, matching each side of the formula
Formula slide matching chords to each product
The other version: AP/BP = PD/PC, with AP and BP labeled shorter segments and PD and PC labeled longer segments
First slide on the ratio version
AP/BP = PD/PC with arrows linking the ratios to two shaded triangles, APD and BPC, drawn inside the circle
Ratio version linked to two triangles
Note that triangles APD and BPC are similar, since ∠DAC = ∠DBC by the inscribed angle theorem; the proof is not required
Ratio version with the similar-triangles note
Question 1: chords APB and CPD with AP = 7 cm, PB = 3 cm and CP = 5 cm; calculate the length of PD (2 marks)
Question 1, the first example question

Answer key included

Answer key included
Attributes
Grades

Grade 9, 10

Editable
Yes
Rating
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About This Product

An editable PowerPoint presentation about the chord segment theorem. It explains the theorem visually and goes through some example questions that are IGCSE style, so alterations of exam questions of earlier years. The red ticks tell that if you got that far, you've got a mark, but obviously those can be removed if you want to use those just as general examples.

In the Common Core system, this falls under HSG-C.A.2.

Content:

Introducing the formula

Visualising the alternative version with triangles

Example where chords meet inside the circle x2

Example where there is a chord and a radius

Theory of the meeting point being outside the circle

Example of the point being outside the circle

Example of application questions x3

Answers to all model questions are provided, but students have the opportunity to try themselves first. 25 editable slides in total. Having 7 examples altogether this should take a whole lesson in an average classroom without extra material.

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