are congruent angles always vertical?
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When two lines intersect they form two pairs of opposite angles, A + C and B + D. Another word for opposite angles are vertical angles. Vertical angles are always congruent, which means that they are equal.
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Corresponding angles are congruent. All angles that have the same position with regards to the parallel lines and the transversal are corresponding pairs e.g. 3 + 7, 4 + 8 and 2 + 6.
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When two triangles are congruent they will have exactly the same three sides and exactly the same three angles. The equal sides and angles may not be in the same position (if there is a turn or a flip), but they are there.
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Why or why not? Yes, all the angles of each of the triangles are acute. Yes, they are congruent by either ASA or AAS. ... No, the congruent sides do not correspond.
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Now, if a trapezoid is isosceles, then the legs are congruent, and each pair of base angles are congruent. In other words, the lower base angles are congruent, and the upper base angles are also congruent.
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On a basic parallelogram, opposite sides are not congruent. On a basic parallelogram, consecutive angles are supplementary. On a basic parallelogram, consecutive angles are congruent. On a basic parallelogram, diagonals bisect each other.
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The opposite angles of a parallelogram are congruent. The consecutive angles are supplementary. ... The diagonals of a parallelogram are sometimes congruent. The diagonals of a rhombus are always perpendicular.
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Congruent Angles. Congruent angles are angles with exactly the same measure. Example: In the figure shown, ∠A is congruent to ∠B ; they both measure 45° .
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All the properties of a parallelogram apply (the ones that matter here are parallel sides, opposite sides are congruent, and diagonals bisect each other). All angles are right angles by definition. The diagonals are congruent.
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Angle Properties, Postulates, and Theorems. ... Angles are congruent if their measures, in degrees, are equal. Note: "congruent" does not mean "equal." While they seem quite similar, congruent angles do not have to point in the same direction.
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Every equilateral triangle has congruent measurements for itself. They always have each side the same length and every angle the same degree. They are not all congruent to each other.
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When two lines intersect to make an X, angles on opposite sides of the X are called vertical angles. ... Finally, angle 3 and angle 6 are congruent vertical angles, so angle 6 must be 145° as well.
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In any triangle, the mid-sized side and mid-sized angle are opposite one another. If two sides are congruent (equal in measure), then the corresponding two angles will be congruent (equal in measure).
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An angle of elevation is an angle with one horizontal arm, and one arm above horizontal. Usually an angle of elevation is less than or equal to 90°. ... Since the transversal intersects two parallel lines, and alternate interior angles are congruent, the angle of elevation and angle of depression must also be congruent.
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"Vertical" refers to the vertex (where they cross), NOT up/down. They are also called vertically opposite angles. Try moving the points below. Notice that the 4 angles are actually two pairs of vertical angles: See: Vertex.
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As a result the angles of elevation and depression are alternate (interior) angles. Since the transversal intersects two parallel lines, and alternate interior angles are congruent, the angle of elevation and angle of depression must also be congruent.
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All right triangles have two legs, which may or may not be congruent. ... This side of the right triangle will always be the longest of all three sides. The angles of a right triangle that are not the right angle must be acute angles. Now, let's learn what the Hypotenuse-Leg Theorem is and how to apply it.