today in geometry… review: learning target : 10.4 you will use inscribed angles of circles ...

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