Question

1. Given: AX is tangent to ?W at A XZ is secant that passes through ?W at Z and Y XZ and AX intersect at the exterior point L Prove: m?AXZ = \frac{1}{2}(m\stackrel\frown{AZ} - m\stackrel\frown{AY}) 4. STATEMENTS 12 A M X W Y Z GRADE 10 Learning Module for Junior High School Mathematics REASONS 4. Inscribed angle theorem

          1. Given: AX is tangent to ?W at A
XZ is secant that passes through
?W at Z and Y
XZ and AX intersect at the
exterior point L
Prove: m?AXZ = \frac{1}{2}(m\stackrel\frown{AZ} - m\stackrel\frown{AY})
4.
STATEMENTS
12
A
M
X
W
Y
Z
GRADE 10
Learning Module for Junior High School Mathematics
REASONS
4. Inscribed angle theorem

1. Given: AX is tangent to ?W at A
XZ is secant that passes through
?W at Z and Y
XZ and AX intersect at the
exterior point L
Prove: m?AXZ = (1)/(2)(m⌢AZ - m⌢AY)
4.
STATEMENTS
12
A
M
X
W
Y
Z
GRADE 10
Learning Module for Junior High School Mathematics
REASONS
4. Inscribed angle theorem

Added by Yolanda T.

Geometry A Common Core Curriculum

Ron Larson, Laurie Boswell 1st Edition

Instant Answer

Solved by Expert Jason Jacob

Step 1

Given that AX is tangent to circle W at A, we know that angle MAX is a right angle. (Tangent lines are perpendicular to the radius at the point of tangency) Show more…

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Given: AX is tangent to circle W at A. XZ is a secant that passes through point W at Z and Y. XZ and AX intersect at the exterior point L. Prove: âˆ MAXZ = (âˆ MAZ + âˆ MAY)