Answer:
- a||b--------Given
- ∠1≅∠2-------definition of corresponding angles
- m∠1=m∠2------corresponding angles are congruent
- ∠2 and ∠3 are supplementary-------definition of linear pair
- m∠2+m∠3=180°-------If two angles form a linear pair, their angle measures to 180°
- m∠1+m∠3=180°---------proved earlier m∠1=m∠2
Step-by-step explanation:
In geometry, transversal is a line which cuts 2 or more lines, often parallel lines.
When lines are cut by a transversal,
- angles which occupy same relative position are termed as corresponding angles. If the lines are parallel then corresponding angles are congruent.
- pairs of angles on either side of transversal are termed as alternate interior angles. If the lines are parallel then alternate interior angles are congruent.
- If lines are parallel, then pairs of consecutive interior angles formed are supplementary
It is given that, a||b
By the definition of corresponding angles,
∠1≅∠2
⇒m∠1=m∠2(as corresponding angles are congruent when parallel lines are cut by a transversal)
∠2 and ∠3 are supplementary, as they form a linear pair
⇒m∠2+m∠3=180°(If two angles form a linear pair, their angle measures sum to 180°)
⇒m∠1+m∠3=180° (m∠1=m∠2 as we have proved above)
Answer:
3/8
Step-by-step explanation:
75% or 0.75 is equivalent to 3/4
3/4 times 1/2 equals 3/8
Answer:
Part one Gianna made 646.25
because 15% of 975 is 146.25 so add that to 500 and you get 646.25
Step-by-step explanation:
Part 2
x/.15+500= Her pay
Answer:
see the attachment
Step-by-step explanation:
If the "transformed" figure looks exactly like the original, but is in a different place, it has been translated (trn).
If the transformed figure has the appearance you would see if you looked at the original in a mirror, it has been reflected (ref). All of these figures have been reflected left-right, so the transformation is not difficult to see.
If the transformed figure is one you would get if you stuck a pin in the original and turned the page 90° to the left (CCW), then it has been rotated (rot). All of these figures have the same 90° ccw rotation, so the transformation is not difficult to see.
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<em>Comment on the question</em>
Matching figures with translated/rotated/reflected versions of themselves is a common problem type on intelligence tests.