<u>Part</u><u> </u><u>(</u><u>i</u><u>)</u>
1. ABCD is a quadrilateral in which AD=BC and ∠DAB=∠CBA (given)
2. AB = AB (reflexive property)
3. Triangles ABD and BAC are congruent (SAS)
<u>Part</u><u> </u><u>(</u><u>ii</u><u>)</u>
4. BD=AC (corresponding sides of congruent triangles are equal)
<u>Part</u><u> </u><u>(</u><u>iii</u><u>)</u>
5. ∠ABD = ∠BAC (corresponding angles of congruent triangles are equal)
<h3>
Answer: D. (2, 21)</h3>
Explanation:
Imagine that your teacher wanted you to find the midpoint of -3 and 7 on the number line. To do this, you would add up the given values and divide by 2.
(-3+7)/2 = 4/2 = 2
The value 2 is right in the middle of -3 and 7 on the number line. This result is also the x coordinate of the midpoint since the values I used were the x coordinates of the original points.
The y coordinates are handled the same way:
(18+24)/2 = 42/2 = 21
The y coordinate of the midpoint is y = 21
Overall, the midpoint is (2, 21)
Step 1 is, "draw arcs through both legs of the angle, centered at the vertex of the angle."
_____
The arcs crossing the two legs have the same radius. One arc crossing both legs can be used, if you like.
39
6^2 + 12 - 3^2
36+12-9
39
