In ΔABC shown below, line segment AB is congruent to line segment BC:
2 answers:
Answer:
∠ABD ≅ ∠CBD
Step-by-step explanation:
<u>Given: </u>line segment AB ≅ line segment BC
<u>Prove:</u> The base angles of an isosceles triangle are congruent.
Statement Reason
1. Segment BD is an angle bisector of ∠ABC - By construction
2. ∠ABD ≅ ∠CBD - Definition of an Angle Bisector
3. Segment BD ≅ segment BD - Reflexive Property
4. ΔABD ≅ ΔCBD - Side-Angle-Side (SAS) Postulate
5. ∠BAC ≅ ∠BCA - CPCTC
You might be interested in
SOLUTION
Given the question in the image, the following are the solution steps to answer the question.
STEP 1: Get the given data values
STEP 2: Write the formula for calculating the coefficient
STEP 3
: Calculate the correlation coefficient
Using the calculator,
Hence, the value of r is 0.791
The equation of circle with the center at (h,k) is:
r stands for radius. Therefore r^2 = diameter or 2×radius.
The question has already given the information we need, which are:
- radius = 4
- the center at (0,8)
Since the center is (h,k) - therefore the center is at h = 0 and k = 8 making it (h,k) = (0,8).
Substitute the values in the equation:
Simplify to the simplest form
Answer
- The equation of a circle is x^2+(y-8)^2 = 16