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Geometry - Unit 7 - Lesson 3

Last updated 7 months ago
6 questions
2
Line BD is tangent to a circle with diameter AB.

Find the measure of the indicated angles:
m\angle ACB=_______
m\angle ABD=_______


Remember to include the degree symbol in your answer.
1

Line AC is perpendicular to the circle centered at O with radius 1 unit.
The length of AC is 1.5 units. Find the length of segment AB. (Round your answer to the nearest tenth.)

1

Find the missing length. Round your answer to the nearest tenth.

4
Line PD is tangent to a circle of radius 1 inch centered at O. The length of PD is 1.2 inches. The length of AB is 1.7 inches.
Find the length of each segment (round answers to the nearest hundredth):
AD=_______
OC=_______
CP=_______
BP=_______
1
\overgroup {AB} measures 50 degrees.

Select the correct answer for each of the following:
\angle BOA measures __________
\angle BCA measures __________
\overgroup {BC} is __________180\degree
1

The image shows a circle with diameters AC and BD.
Prove that chords BC and AD (not drawn) are congruent by organizing the statements and reasons to form a correct proof.

Draggable itemCorresponding Item
AE, BE, DE, EC are all congruent segments
Vertical angles are congruent
AD \cong BC
radii of the same circle are congruent
\triangle AED \cong \triangle BEC
SAS Congruence theorem
\angle AED \cong \angle BEC
CPCTC