Geometry: An Interactive Journey to Mastery

4. )LOOLQWKHIROORZLQJEODQNVͼ௘6HHFigure 12.5௘ͽ
   D௘ͽ ,IP is on the angle bisector of ‘RMN, then P is equidistant from
   lines __ and __.
   E௘ͽ ,IP is on the angle bisector of ‘RNM, then P is equidistant
   from __ and __.
   F௘ͽ ,IP is equidistant from MR and NR then P lies
   on the ____ of __.
   G௘ͽ ,IR lies on the perpendicular bisector of MN, then R is equidistant from __ and __.
   H௘ͽ ,IP is equidistant from M and R, then P lies on the ____ of __.


5. $NLWHLVDFRQYH[IRXUVLGHG¿JXUHZLWKWZRSDLUVRIDGMDFHQWVLGHV
   HTXDOLQOHQJWKͼ௘6HHFigure 12.6௘ͽ
   D௘ͽ ([SODLQZK\P and R each lie on the perpendicular bisector of the
   diagonal AB.
   E௘ͽ ([SODLQZK\WKHGLDJRQDOVRIDNLWHDUHSHUSHQGLFXODU


6. $GHOWRLGLVDFRQFDYHIRXUVLGHG¿JXUHZLWKWZRSDLUVRIDGMDFHQWVLGHVHTXDOLQOHQJWK0XVWWKHGLDJRQDOV
   of a deltoid be perpendicular?


7. D௘ͽ $FRQYH[IRXUVLGHG¿JXUHKDVWKHSURSHUW\WKDWLWVGLDJRQDOVDUHSHUSHQGLFXODU6KRZZLWKDGUDZLQJ
   WKDWWKH¿JXUHGRHVQRWQHHGWREHDNLWH
   E௘ͽ $FRQYH[IRXUVLGHG¿JXUHKDVWKHSURSHUW\WKDWLWVGLDJRQDOVDUHSHUSHQGLFXODUDQGWKDWRQHGLDJRQDO
   ELVHFWVWKHRWKHU3URYHWKDWWKH¿JXUHPXVWEHDNLWH

P

M N

R

Figure 12.5

Aa P

a

b

b

B

R Figure 12.6