ISN and TSW TSN and ISW
which pair of angles in the figure below are vertical angles ?
If one set of opposite sides is equal and parallel then both are. The figure is a PARALLELOGRAM and the opposite angles of course must be equal.(see related links below)Parallelograms include rectangles (four right angles) and rhomboids (two opposite acute angles and two opposite obtuse angles).A square is a type of rectangle (all sides equal).A rhombus is a type of rhomboid (all sides equal).Although a square could be considered an equiangular rhombus, it is usually considered a separate type of shape.
a and d
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ISN and TSW TSN and ISW
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which pair of angles in the figure below are vertical angles ?
Do you mean "Are two vertical angles always congruent?" Vertical angles are always congruent, but congruent angles do not have to be vertical. Any two angles with the same angle measurement are considered congruent by definition. The reason why vertical angles are always congruent is explained below. Imagine (or draw) an X forming 2 pairs of vertical angles. ∠1 is to the left, ∠2 is on top, ∠3 is to the right, and ∠4 is on the bottom. Vertical angles are always congruent because ∠1 and ∠2 are supplementary, meaning that their measures add to 180 degrees. The measures of ∠2 and ∠3 also add to 180 degrees. This means that m∠1+m∠2=180 and m∠2+m∠3=180. Using the Transitive Property, it becomes m∠1+m∠2=m∠2+m∠3. If you subtract the measure of ∠2 from both sides, it becomes m∠1=m∠3. I hope that helped!
A and B, B and C, C and D, D and A, are all supplementary pairs. The figure has no complementary pairs of angles.
Figure out how many 90 degree angles are in each shape.See related link below for screenshots and explanation.
Figure out how many 90 degree angles are in each shape.See related link below for screenshots and explanation.
Figure captions typically go below the figure in a document.
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No, it has two angles over 90 degrees and two angles below 90 degrees.
If the pair of angles are formed by two rays meeting at a point (see the superb figure below!) then it is difficult. The only way is to call one of them (angle y) a reflex or major angle, and the other (angle x) the minor angle. A B ____ y x \ ....\ .....C Otherwise, the angles can be named by using the names of the rays that form the angles, for example, if line DC meets line AB at C, (an even better figure!) D ...\ __\__ A C B then you have angle DCA to the left and DCB to the right.