Triangles are congruent when they have exactly the same three sides and exactly the same three angles.
The diagram shows two pairs of congruent triangle:
- triangle C is congruent to triangle E (have exactly the same three sides and exactly the same three angles);
- triangle D is congruent tot triangle F (have exactly the same three sides and exactly the same three angles).
Triangles A and B apears not to be congruent to any others triangles.
Answer:
Option C.
Step-by-step explanation:
It is given that radius of circle X is 6 units and radius of circle Y is 2 units.
Here, circle Y is smaller and circle X is larger.
If we translate the circles so they share a common center point, and after that we dilate circle Y by a scale factor of 3, then we get circle which is equal to circle X.
We know that, after dilation the figure and its image are similar.
Hence, we can say that both circles are similar.
Therefore, the correct option is C.
Answer:
<6 and 4 are supplementary angles. Supplementary angles add up to 180. therefore <6 and <4=180--->m<6=65---->180-65=115---> m<4-115
2. 115°
By using vertical angles theorem we see that angles opposite to each other like 5 and 8 are congruent.
Therefore m<8 = m<5
3. 122
<3 and <6 are congruent by the alternate interior angles theorem which states that interior angles that are opposite one another such as 6 and 3 are congruent.
4. 73°
<4 and <7 are supplementary since the <4 is equal to the <8 and the <8 is supplementary to 7.
180-107=73
5. 73°
Step-by-step explanation:
-3/8 is between them and its terminating -0.375
-4/9 is between them and it repeating -0.44444444
