Name No. Geometry 9-3 1) Complete the table: Name No. Geometry 9-1 1) Name a secant. Name a diameter. Name a tangent. Name No. Geometry 9-2 1) Find JK

Transcription

1 Geometry 9-1 1) Name a secant 1) Complete the table: Name a diameter Name a tangent Geometry 9-2 1) Find JK 2) Find the measure of 1 Geometry 9-2 2) 3) At 2:00 the hands of a clock form an angle of

2 2) Complete the table: Geometry 9-1 1) Name a secant Name a diameter Name a tangent 2) Find the measure of 1 Geometry 9-2 1) Find JK 3) At 2:00 the hands of a clock form an angle of Geometry 9-2 2)

3 Name No. 1) 1) Find x and y 2) Sketch a circle O with radius of length 17 and chord of length 30. How far is the chord from O? 2) Find x and y 3) A plane P cuts sphere O in a circle that has diameter 20. If the diameter of the sphere is 30, how far is the plane from O? 3) Find x, y, and z

4 1) Find x and y Name No. 1) 2) Find x and y 2) Sketch a circle O with radius of length 17 and chord of length 30. How far is the chord from O? 3) Find x, y, and z 3) A plane P cuts sphere O in a circle that has diameter 20. If the diameter of the sphere is 30, how far is the plane from O?

5 1) Find x 1) 2) Find x 2) 3) Find x 3)

6 1) 1) Find x 2) 2) Find x 3) 3) Find x

7 1) Using the diagram below, name: O OT c. RL d. SR e. SR f. L g. LH 4) When a triangle is inscribed in a semicircle, what 2 facts can you state about its angles? What fact can you state about the diameter of the circle? c. 2) When a plane intersects a sphere, what do you know about the figure formed by this intersection? 5) When a line is tangent to a circle, what occurs at the point of tangency? 3) When a quadrilateral is inscribed in a circle, what 2 facts can you state about its interior angles? 6) Describe the relationship between the measure of an intercepted arc of a circle and the measure of its corresponding: central angle inscribed angle c. angle formed by a secant and a tangent

8 4) When a triangle is inscribed in a semicircle, what 2 facts can you state about its angles? What fact can you state about the diameter of the circle? c. 1) Using the diagram below, name: O OT c. RL d. SR e. SR f. L g. LH 5) When a line is tangent to a circle, what occurs at the point of tangency? 2) When a plane intersects a sphere, what do you know about the figure formed by this intersection? 6) Describe the relationship between the measure of an intercepted arc of a circle and the measure of its corresponding: central angle 3) When a quadrilateral is inscribed in a circle, what 2 facts can you state about its interior angles? inscribed angle c. angle formed by a secant and a tangent

9 7) Describe 3 situations where the measure of an angle equals half the difference of its intercepted arcs: 10) When 2 chords intersect within a circle, what do you know about the lengths of the segments of the chords? c. 8) When is the measure of an angle equal to the half the sum (or average) of its intercepted arcs? 11) Describe the following: concurrent circles externally tangent circles c. internally tangent circles d. common internal tangent e. common external tangent 9) When a chord and a radius intersect within a circle at 90, identify two important results: 12) When the following intersect outside a circle, what do you know about the lengths of their segments? 2 secants 1 secant and 1 tangent c. 2 tangents

10 10) When 2 chords intersect within a circle, what do you know about the lengths of the segments of the chords? 7) Describe 3 situations where the measure of an angle equals half the difference of its intercepted arcs: c. 11) Describe the following: concentric circles 8) When is the measure of an angle equal to the half the sum (or average) of its intercepted arcs? externally tangent circles c. internally tangent circles d. common internal tangent e. common external tangent 12) When the following intersect outside a circle, what do you know about the lengths of their segments? 2 secants 9) When a chord and a radius intersect within a circle at 90, identify two important results: 1 secant and 1 tangent c. 2 tangents