today in geometry… review: learning target : 10.4 you will use inscribed angles of circles ...
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TODAY IN GEOMETRY…
Review:
Learning Target : 10.4 You will use inscribed angles of circles
Independent practice
CH.10 QUIZ - FRIDAY
REVIEW: Graph . Translate the Pre-Image and record the image points.
𝐴𝐵
𝐶
𝐴 ′𝐵 ′
𝐶 ′
REVIEW: Graph . Reflect the pre-image across the y-axis.
RULE FOR RELECTION ACROSS Y-AXIS:
𝐴𝐵
𝐶
𝐴 ′ 𝐵 ′
𝐶 ′
REVIEW: Graph . Reflect the pre-image across the line .EACH POINT IN A REFLECTION IS EQUAL DISTANT FROM THE LINE OF REFLECTION
𝐴𝐵
𝐶
𝐴 ′ 𝐵 ′
𝐶 ′
𝑥=1
SOME IMPORTANT DEFINITIONS-not on your notes:
INSCRIBED ANGLE: An angle whose vertex is on circle.
INTERCEPTED ARC: The arc made from an inscribed angle.
INSCRIBED ARC FORMULA: The measure of an inscribed angle is one half the measure of its intercepted arc.
2 𝑥𝑥
Intercepted arc
Inscribed arc
PRACTICE:
PRACTICE:
Two inscribed angles that intercept the same arc are congruent.
𝐴
𝐵
𝐶𝐷
Shared Intercepted arc
𝐴
𝐵
𝐶𝐷
Be able to see that these figures are the same!
PRACTICE:
12
(90 ° )=𝟒𝟓° 2 (38 ° )=𝟕𝟔° 𝟕𝟐°
A polygon is an inscribed polygon if all of its vertices lie on the circle. The circle that contains the vertices is a circumscribed circle.
Inscribed triangle Inscribed polygon
Circumscribed circle
A quadrilateral can be inscribed in a circle if and only if its opposite angles are supplementary.
𝐷
𝐸
𝐹
𝐺𝑚∠𝐷+𝑚∠𝐹=180 °
𝑚∠𝐸+𝑚∠𝐺=180 °
PRACTICE:
Opposite angles of an inscribed polygon are supplementary:a.
b.
PRACTICE:
Opposite angles of an inscribed polygon are supplementary:5.
6.
HOMEWORK #4:
Pg. 676: 3-16Pg. 679: 40-46
If finished, work on other assignments:
HW #1: Pg. 655: 3-20, 24-26, 30HW #2: Pg. 661: 3-14, 17, 23HW #3: Pg. 667: 3-15