Geometry of Circles - Rule for Inscribed Angle from Central (Level 1)

This math topic explores the geometric principle involving the relationship between central angles and inscribed angles in a circle, at an intermediate introductory level. It includes multiple-choice questions that challenge students to identify the relationship between pairs of angles subtended by the same arc or different arcs. For each question, students are given various options such as angles being equal, one being twice or half of the other, angles adding up to certain degrees, or having no relation due to different arcs. These problems facilitate understanding and application of the inscribed angle theorem and its implications in circle geometry.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

Geometry of Circles - Rule for Inscribed Angle from Central Worksheet

Math worksheet on 'Geometry of Circles - Rule for Inscribed Angle from Central (Level 1)'. Part of a broader unit on 'Geometry - Intermediate - Intro' Learn online: app.mobius.academy/math/units/geometry_intermediate_intro/

1

What is known about angle MCR compared to angle MDR?

a

MCR and MDR add to 180º

b

MCR is half MDR

c

MCR and MDR add to 360º

d

MCR is the same as MDR

e

MCR and MDR add to 90º

f

Nothing, MCR and MDR are not subtended by the same arc

2

What is known about angle ZYN compared to angle ZXN?

a

ZYN and ZXN add to 360º

b

ZYN and ZXN add to 180º

c

ZYN and ZXN add to 90º

d

ZYN is the same as ZXN

e

ZYN is twice ZXN

f

ZYN is half ZXN

3

What is known about angle BMR compared to angle BDR?

a

Nothing, BMR and BDR are not subtended by the same arc

b

BMR and BDR add to 180º

c

BMR is half BDR

d

BMR is twice BDR

e

BMR and BDR add to 90º

f

BMR is the same as BDR

4

What is known about angle DXP compared to angle DMP?

a

DXP and DMP add to 180º

b

Nothing, DXP and DMP are not subtended by the same arc

c

DXP and DMP add to 360º

d

DXP is the same as DMP

e

DXP is twice DMP

f

DXP is half DMP

5

What is known about angle NCB compared to angle NYB?

a

NCB is half NYB

b

NCB and NYB add to 90º

c

NCB is the same as NYB

d

NCB and NYB add to 360º

e

Nothing, NCB and NYB are not subtended by the same arc

f

NCB and NYB add to 180º

6

What is known about angle YZR compared to angle YNR?

a

YZR and YNR add to 360º

b

YZR is the same as YNR

c

YZR and YNR add to 180º

d

Nothing, YZR and YNR are not subtended by the same arc

e

YZR and YNR add to 90º

f

YZR is half YNR

7

What is known about angle YRC compared to angle YNC?

a

YRC and YNC add to 180º

b

YRC is half YNC

c

YRC is twice YNC

d

YRC and YNC add to 360º

e

YRC is the same as YNC

f

Nothing, YRC and YNC are not subtended by the same arc