Inscribed Triangle on Diameter - Missing Angle Rule (Level 1)
This math topic focuses on the geometry of circles, specifically problems involving inscribed triangles with diameters and the relationships of their angles. Students are tasked with determining properties and relationships of angles subtended by diameters in various geometric configurations. The topic also challenges learners to deepen their understanding of the circle geometry, including how angles in inscribed triangles relate to one another and the circle's diameter. Each problem presents different cases of inscribed angles and related angle properties, crucial for learning intermediate level geometry.
Work on practice problems directly here, or download the printable pdf worksheet to practice offline.
moreMath worksheet on 'Geometry of Circles - Inscribed Triangle on Diameter - Missing Angle Rule (Level 1)'. Part of a broader unit on 'Geometry - Intermediate - Intro' Learn online: app.mobius.academy/math/units/geometry_intermediate_intro/ |
What is known about angle XRZ and XZR given that RZ forms a diameter? |
XRZ is the same as XZR |
XRZ and XZR add to 180º |
XRZ and XZR add to 90º |
XRZ is half XZR |
Nothing, XRZ and XZR are not subtended by the same arc |
XRZ and XZR add to 360º |
What is known about angle XMN and XNM given that MN forms a diameter? |
XMN and XNM add to 180º |
XMN and XNM add to 90º |
Nothing, XMN and XNM are not subtended by the same arc |
XMN is twice XNM |
XMN is half XNM |
XMN is the same as XNM |
What is known about angle PYM and PMY given that YM forms a diameter? |
Nothing, PYM and PMY are not subtended by the same arc |
PYM and PMY add to 90º |
PYM is the same as PMY |
PYM is twice PMY |
PYM and PMY add to 360º |
PYM is half PMY |
What is known about angle PDY and PYD given that DY forms a diameter? |
PDY and PYD add to 90º |
PDY is the same as PYD |
PDY is twice PYD |
PDY and PYD add to 180º |
PDY and PYD add to 360º |
Nothing, PDY and PYD are not subtended by the same arc |
What is known about angle RZY and RYZ given that ZY forms a diameter? |
RZY is half RYZ |
RZY and RYZ add to 180º |
Nothing, RZY and RYZ are not subtended by the same arc |
RZY and RYZ add to 90º |
RZY is twice RYZ |
RZY and RYZ add to 360º |
What is known about angle MBP and MPB given that BP forms a diameter? |
MBP is twice MPB |
MBP and MPB add to 180º |
MBP and MPB add to 90º |
MBP and MPB add to 360º |
MBP is the same as MPB |
MBP is half MPB |
What is known about angle DNZ and DZN given that NZ forms a diameter? |
DNZ and DZN add to 360º |
DNZ is half DZN |
Nothing, DNZ and DZN are not subtended by the same arc |
DNZ and DZN add to 180º |
DNZ is twice DZN |
DNZ and DZN add to 90º |