Answer:
Yes, they are congruent by SAS postulate.
Step-by-step explanation:
Let us first name the vertices of both the triangles.
The labelled diagram is shown below.
Consider the triangles ABC and ACD
Statements Reasons
1. BC ≅ AC Given
2. ∠ ACB ≅ ∠ CAD Given
3. AC ≅ AC Common sides are congruent due to Reflexive property
As two corresponding sides and the included angles between them are congruent, therefore the two triangles are congruent by SAS postulate.
So, we can conclude that the given triangles are congruent.
It depend on what d was. anything in Q3 can work for the reflection and both x and y are negative, you can say that for sure. for the actual point D, anything in Q4. in Q4 x is positive and y is negative. if d is (3,-3) then it's reflection is (-3,-3)
Answer:
(A)Step 1; it should be m∠m + m∠n + m∠o = 180 degrees (sum of angles in a triangle)
Step-by-step explanation:
- In the triangle, the exterior angle = p
- The adjacent interior angle =o
- The two opposite angles are marked m and n
The steps followed by the student are:
Step 1: m∠m + m∠n + m∠p = 180 degrees (sum of angles of a triangle)
Step 2: m∠p + m∠o = 180 degrees (adjacent supplementary angles)
Step 3: Therefore, m∠m + m∠n + m∠o = m∠o + m∠p
Step 4: So, m∠m + m∠n = m∠p
We observe that the student made a mistake in Step 1, it should be m∠m + m∠n + m∠o = 180 degrees (sum of angles in a triangle).
p is outside the triangle, therefore it cannot form one of the angles in the triangle.
The answer is (2, 7), because the midpoint is the point where the 2 end points are equidistant from each other
Answer:
x + y = 10,999.5 (rounded up to 11000)
x - y = 3,000.3 (this would be rounded down to 3000)
Step-by-step explanation:
Assume;
Two numbers are x, y
So,
x + y = 11,000
.......eq1
x - y = 3,000
.........eq2
eq1 + eq2
So,
2x =14,000
x = 7,000
So y = 4,000
For rounding number
x = 6,999.9 (rounded up to 7,000)
y = 3,999.6 (rounded up to 4,000)
Sum;
x + y = 10999.5 (rounded up to 11000)
x - y = 3000.3 (this would be rounded down to 3000)
