The document contains a pre-test on circle geometry with 5 multiple choice questions. The questions ask about determining angle measures in diagrams where points are on circles, tangent lines, and relationships between angles formed based on circles. Justification is required for determining the measure of angles ECB, BDC, BAD and DBE where E is the center of a circle.

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Circle Geometry
Pre-Test

2. Determine the measure of ∠ECB, ∠BDC, ∠BAD, and ∠DBE,
where E is the centre of the circle. Justify your answer.

3. (1) The segment AB is tangent to the circle at point T. Which angle is
equal to r?
(a) a (b) b (c) c
(d) d (e) none of these

4. (2) Determine the value of x in the diagram below.

5. (3) Given the circle with centre O, which of the following best describes
the relationship between x and y?
(a) x = y (b) x + y = 180° (c) x + y = 360°
(d) x + 2y = 360° (e) none of these

6. (4) In the diagram below, O is the centre of the circle.
Determine the measure of angle x, indegrees.
(a) 30° (b) 40° (c) 50°
(d) 60° (e) none of these

7. (5) In the diagram below, R, S, T, U are points on the circle with
RS = RU = UT and SU = ST.
Find the measure of UST.
(a) 31° (b) 35° (c) 36°
(d) 40° (e) none of these

8. (5) In the diagram below, R, S, T, U are points on the circle with
RS = RU = UT and SU = ST.
Find the measure of UST.
(a) 31° (b) 35° (c) 36°
(d) 40° (e) none of these