Assertion: rhombus's angle | /r/HasProperty | congruent
Facets:
value: from the other side
type: OTHER
value: (equal sizes)
type: OTHER
value: ldac = lacd
type: OTHER
value: similarly
type: DEGREE
value: to each other
type: TRANSITIVE-OBJECT
Source sentences:
text: Opposite Angles Are Congruent
text: All angles are congruent ✕ ✓ ✕ ✓ 4 Opposite angles are congruent ✓ ✓ ✓ ✓
text: The opposite angles are congruent.
text: has opposite angles that are also congruent
text: The rhombus has the following properties: All the properties of a parallelogram apply (the ones that matter here are parallel sides, opposite angles are congruent, and consecutive angles are supplementary).
text: A rhombus has opposite angles that are congruent.
text: Opposite angles of parallelograms are congruent, which means that each other the missing angles must have a measure of 90° (since 180÷2=90).
text: Recall, that the alternate interior angles are congruent if and only if a transversal intersects a pair of parallel lines.
text: In fact, because two angles of each triangle are congruent, we can say that ?
text: The opposite angles are congruent.
text: The angles in a rhombus are congruent to each other.
text: Corresponding parts of congruent triangles are congruent, so all 4 angles (the ones in the middle) are congruent.
text: Opposite angle are congruent
text: This property of a rhombus also shows that is is a parallelogram as an essential property of a parallelogram is that its opposite angles are congruent.
text: The key properties of a rhombus are its opposite angles are congruent, its adjacent angles are supplementary, its diagonals bisect opposite angles, its diagonals bisect each other, and its diagonals are perpendicular to each other.
text: A rhombus is not a regular polygon as all angles have to be congruent for it to be classed as regular.
text: Opposite angles are congruent.
text: All sides and angles are congruent.
text: Opposite angles are congruent.
text: No sides, angles and diagonals are congruent.
text: The opposite angles are congruent.
text: Opposite (non-adjacent) angles are congruent.
text: - the opposite angles are congruent;
text: Hence, the angles ACB and ACD are congruent as the corresponding angles of the congruent triangles ABC and ADC.
text: In the course of proving the Theorem 1 we got that the angles ACB and ACD were congruent, and the angles CAB and CAD were congruent too.
text: From the other side, the angles ACD and CAB are congruent as the alternate interior angles at the parallel lines DC and AB and the transverse AC;
text: the angles CAD and ACB are congruent as the alternate interior angles at the parallel lines AD and BC and the transverse AC.
text: It means that all four acute angles in the Figure 2 (LACB, LACD, LCAB and LCAD) are congruent.
text: This agrees with the fact that the opposite angles DAB and DCB of the parallelogram ABCD are congruent and the diagonal AC is the angle bisector to
text: The angles ADB and CDB are congruent
text: The angles ABD and CBD are congruent because the diagonal BD is the angle bisector to the angle ABC by the condition.
text: The angles DAC and BAC are congruent
text: From the other side, the angles BAC and ACD are congruent as the alternate interior angles at the parallel straight lines AB and DC and the transverse AC (see the lesson Angles, complementary, supplementary angles of the section Geometry in this site): LBAC = LACD.
text: Therefore, the angles DAC and ACD are congruent: LDAC = LACD.
text: Similarly, the angles DAC and ACB are congruent as the alternate interior angles at the parallel straight lines AD and BC and the transverse AC : LDAC = LACB.
text: Therefore, the angles ACD and ACB are congruent as they both are congruent to the angle DAC : LCAB = LACB.
text: - Opposite internal angles are congruent (equal sizes).
text: Additionally, there are two other characteristics that apply to rhombuses: the opposite angles are congruent and the diagonals are perpendicular.
text: The opposite sides and angles of a rhombus are congruent.
text: 2)Opposite angles of a rhombus are congruent (the same size and measure.)
text: 2)All angles of a square are congruent (the same size and measure.)
text: A kite is a rhombus, and has rotational symmetry of both 180 degrees as well as 360 degrees, A rhombus is not a regular polygon as all angles have to be congruent for it to be classed as regular.
text: The angles between the pair of sides are congruent.