Question

II. ALWAYS, SOMETIMES, OR NEVER TRUE. Write

A
S
N
123
2.
3.
4.
5.
6.
7.
8.
9.
10.
-If the statement is ALWAYS true
-If the statement is SOMETIMES true
-If the statement is NEVER true
A diameter of a circle is a chord.
The sum of any two sides of a triangle is greater than the third side.
The sum of the squares of the legs of a right triangle is equal to the square of its
hypotenuse.
The geometric mean of two numbers is the average of their product.
A minor arc of a circle is greater than 180°.
To find the length of an arc, divide the measure of the central angle then multiply it by the
area of the circle.
Dilation can either shrink or enlarge a figure.
A line can be bisected.
Supplementary angles are congruent.
If two pairs of corresponding angles of two triangles are congruent, then the triangles are
similar.
III. Problem-solving:

Answer 1

1. Always (by definition)

2. Always (triangle inequality)

3. Always (Pythagorean theorem)

4. Sometimes (take x=y=1 and x=4, y=3)

5. Never (by definition)

6. Sometimes (Only if area = circumference)

7. Sometimes (Consider when scale factor = 1)

8. Never (Lines extend infinitely)

9. Sometimes (Only if both angles are right angles)

10. Always (Angle-angle similarity)