Question

question 1 (18 points)
match the key term to the definition
column a

1. hypotenuse - leg theorem hl
2. leg - leg congruence theorem ll
3. leg - angle congruence theorem la
4. tangent segment
5. tangent segment theorem
6. tangent circles

column b
a. a line segment formed by connecting a point outside of the circle to a point of tangency
b. if the leg and an acute angle of one right triangle are congruent to the corresponding leg and acute angle of another right triangle, then the triangles are congruent.
c. circles that lie in the same plane and intersect at exactly one point.
d. if two tangent segments are drawn from the same point on the exterior of a circle, then the tangent segments are congruent.
e. if the hypotenuse and leg of one right triangle are congruent to the hypotenuse and leg of another right triangle, then the triangles are congruent.
f. if the two corresponding shorter legs of two right triangles are congruent, then the two triangles are congruent.

Explanation:

• Hypotenuse - Leg Theorem HL: This theorem is about right - triangle congruence based on hypotenuse and leg.
• Leg - Leg Congruence Theorem LL: Focuses on congruence of right - triangles using two legs.
• Leg - Angle Congruence Theorem LA: Deals with right - triangle congruence via a leg and an acute angle.
• Tangent Segment: Defined as a line segment from a point outside a circle to a point of tangency.
• Tangent Segment Theorem: States that tangent segments from the same exterior point to a circle are congruent.
• Tangent Circles: Circles in the same plane intersecting at exactly one point.

Answer:

1. e
2. f
3. b
4. a
5. d
6. c