Answer:
The information we need is that the angle between the sides (that is, angle TVU for triangle TVU and angle WVX for triangle WVX) need to be equal.
These angles are vertically opposite angles, because they are formed by two lines crossing, so these angles are equal.
Step-by-step explanation:
The SAS Congruence Theorem says that if two triangles have 2 equal sides and the angle between these sides are also equal, the triangles are congruent.
In this question, we know that the sides UV and VW are congruent, as V is the midpoint of UW. We also know that TV = VX, so now we have two equal sides for each triangle.
The information we need is that the angle between the sides (that is, angle TVU for triangle TVU and angle WVX for triangle WVX) need to be equal.
These angles are vertically opposite angles, because they are formed by two lines crossing, so these angles are equal.
Now we can conclude that the triangles are congruent.
The more pieces the smaller each piece is
Answer:
MJ = 9
Step-by-step explanation:
Since JK is parallel to MN and MN intersects the 2 sides, then MN divides the 2 sides in proportion, that is
= 
, substitute values
= 
( cross- multiply )
20MJ = 180 ( divide both sides by 20 )
MJ = 9
Answer:
<u>one half the measure of their intercepted arcs</u>.
<u>m arc CDE= 2 ⋅ m∠CFE and arc CFE= 2. m∠CDE</u>.
Step-by-step explanation:
Quadrilateral CDEF is inscribed in circle A, so m arc CDE + m arc CFE= 360°. ∠CFE and ∠CDE are inscribed angles, which means that their measures are <u>1/2 the measure of their intercepted arcs</u>. So, <u>m arc CDE= 2 ⋅ m∠CFE and arc CFE= 2</u>. m∠CDE.
We can see the pic shown in order to understand the question.
Answer:
<u>C. 4</u>
Step-by-step explanation:
