2
QuizMultiple Choice

Interactive: Circle Constructions — Unit test

Question 2 • Reading HS- Integrated Math I

Fill in the blanks for the paragraph proof for . Given: , , and Prove: Proof: All radii of a circle are congruent, so , and since and , then are right triangles by the __________ congruency theorem. The corresponding sides of the triangles, and , are congruent, so ZV = YX. Thus, we know that 2ZV = 2YX by the multiplication property of equality. By a congruency theorem that states, “if a diameter of a circle is perpendicular to a chord, then the __________,” bisects and bisects , so VU = 2ZV and XW = 2YX. Therefore, we can conclude that VU = XW, or .

Question illustration
Answer
A
HL (Hypotenuse-Leg) . . . diameter bisects the chord and its other chord
B
SSS (Side-Side-Side) . . . diameter bisects the arc and its measurement
C
HL (Hypotenuse-Leg) . . . diameter bisects the chord and its arc
D
ASA (Angle-Side-Angle) . . . chord but not the diameter
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