A trapezoid is a quadrilateral with 2 congruent sides of a different length, the other are parallel to each other. So it looks like a triangle, but the pointed top of the triangles turns flat look below
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No but it has congruent base angles. Also it has: One pair of parallel sides Non-parallel sides that are equal Two pairs of equal angles Diagonals that are equal
There are four angles in a trapezoid. These four angles will also add up to 360 degrees.
Congruent angles are angles that have the same measure. For example, if angle A measures 30 degrees and angle B also measures 30 degrees, then angles A and B are congruent. Additionally, angles that are vertically opposite when two lines intersect are also congruent. In general, any angles that are equal in measurement are considered congruent.
If it just has congruent angles it could be a square or rectangle. It really depends on the sides also. (if they're congruent)
Let's do an example.Draw an isosceles trapezoid. Let say that the biggest base has a length of 10, and the smallest base has a length of 4.Draw two perpendicular line that pass through the vertices of the smallest base, to the biggest base of the trapezoid.A rectangle is formed whose lengths of its two opposite sides equal to the length of the smallest base of the trapezoid.Then, we can say that the base of the right triangle whose hypotenuse is one one of the congruent sides of the trapezoid is 3, (1/2)(10 -4). So that one of the possibilities of its height (which also is the height of the trapezoid) is 4, and the hypotenuse is 5 (by the Pythagorean triple).Now, in the right triangle whose hypotenuse is one of the congruent sides of the trapezoid, we have:tan (base angle of the trapezoid) = 4/3, andthe base angle angle of the trapezoid = tan-1 (4/3) ≈ 53⁰.Since the sum of the two adjacent angles of the trapezoid is 180⁰, the other angle of the trapezoid is 127⁰.Thus, the base angles of the isosceles trapezoid have a measure of 53⁰, and two other angles have a measure of 127⁰.So, we need to have more information in order to find the angles of the isosceles trapezoid for the given problem.
No but it has congruent base angles. Also it has: One pair of parallel sides Non-parallel sides that are equal Two pairs of equal angles Diagonals that are equal
False.
If two angles in a triangle are congruent to two angles in another triangle, then the ______________ angles are also congruent.
There are four angles in a trapezoid. These four angles will also add up to 360 degrees.
Congruent angles are angles that have the same measure. For example, if angle A measures 30 degrees and angle B also measures 30 degrees, then angles A and B are congruent. Additionally, angles that are vertically opposite when two lines intersect are also congruent. In general, any angles that are equal in measurement are considered congruent.
If it just has congruent angles it could be a square or rectangle. It really depends on the sides also. (if they're congruent)
In an isosceles triangle 2 sides are congruent and 2 angles are congruent. In an equilateral triangle all 3 sides are congruent and all 3 angles are congruent also.
If two angles of one triangle are congruent to two angles of another triangle, then the third angles are also congruent.
A quadrilateral is a four-sided polygon (closed shape made with line segments). Quadrilaterals have four angles (vertices) and come in many different shapes, depending on the length of their sides and the kinds of angles they have. The five most common quadrilaterals are the rectangle, square, parallelogram, rhombus, and trapezoid. A rectangle is a quadrilateral with opposite sides congruent (same length) and parallel. It has four right (90º) angles. A square has ALL four sides that are congruent, and two pairs of parallel sides. It also has four right angles. A parallelogram has two pairs of parallel sides. They form two acute and two obtuse angles. A rhombus has two pairs of parallel sides, but all sides are congruent. They also form two acute and two obtuse angles. Finally, a trapezoid, has only one pair of parallel sides. The parallel sides are NOT congruent. A trapezoid can be formed by two acute and two obtuse angles, or by two right angles, one acute, and one obtuse angle.
A quadrilateral is ANY closed figure with 4 sides. Therefore, it also has 4 angles - any of which may, or may not, be congruent. About the only general statement about angles that applies to all quadrilaterals is that the sum of the angles is 360 degrees. By the way, it is possible for a quadrilateral to have 3 congruent angles, and the fourth angle not be congruent with the other 3.
Let's do an example.Draw an isosceles trapezoid. Let say that the biggest base has a length of 10, and the smallest base has a length of 4.Draw two perpendicular line that pass through the vertices of the smallest base, to the biggest base of the trapezoid.A rectangle is formed whose lengths of its two opposite sides equal to the length of the smallest base of the trapezoid.Then, we can say that the base of the right triangle whose hypotenuse is one one of the congruent sides of the trapezoid is 3, (1/2)(10 -4). So that one of the possibilities of its height (which also is the height of the trapezoid) is 4, and the hypotenuse is 5 (by the Pythagorean triple).Now, in the right triangle whose hypotenuse is one of the congruent sides of the trapezoid, we have:tan (base angle of the trapezoid) = 4/3, andthe base angle angle of the trapezoid = tan-1 (4/3) ≈ 53⁰.Since the sum of the two adjacent angles of the trapezoid is 180⁰, the other angle of the trapezoid is 127⁰.Thus, the base angles of the isosceles trapezoid have a measure of 53⁰, and two other angles have a measure of 127⁰.So, we need to have more information in order to find the angles of the isosceles trapezoid for the given problem.
A rectangle has 4 congruent angles. 90 degrees. It is also a parallelogram, 2 pairs of congruent sides.