1 answer:
All isosceles trapezoids have congruent base angles.
Option A
<u>Explanation:</u>
An isosceles trapezoid is a convex quadrilateral with a line of symmetry bisecting one pair of opposite sides.
Properties of isosceles trapezoid:
- Opposite sides of an isosceles trapezoid are the same length (congruent).
- The angles on either side of the bases are the same size/measure (congruent).
- The bases (both top and bottom) of an isosceles trapezoid are parallel.
Note: Refer the attached file for the image of an isosceles trapezoid.
All isosceles trapezoids come into the category of trapezoids but all trapezoids cannot be marked as isosceles. Clearly, if a trapezoid has congruent legs, it is an isosceles trapezoid.
If a trapezoid has one pair of congruent base angles, then the trapezoid is isosceles. A trapezoid is isosceles if and only if its diagonals are congruent.
In the case of quadrilaterals, if the quadrilateral is an isosceles trapezoid, then each pair of base angles are congruent.
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Answer:
x = 2
Step-by-step explanation:
In an equation our aim is to find the value of what we are looking for as well as keeping the equation balanced. For example if we divided by 2 only from one side then the equation would change so it's an important rule to keep in mind when solving equations, that you need to keep both sides of the equation the same.
→ Expand the brackets
→ Multiply everything by 12 to make solving the equation easier
6x - 6 - 2x - 2 = 0
→ Simplify equation
4x - 8 = 0
→ Add 8 to both sides to isolate 4x
4x = 8
→ Divide by 4 on both sides to isolate x
x = 2
⇒ We can substitute x = 2 back into the equation to see if the solution is correct, if we get 0 on both sides then x = 2 is correct
⇒ Substitute in the values
⇒ Simplify
⇒ Simplify further
0 = 0
The solution x = 2 is correct
Answer:
-6/5
Step-by-step explanation:
