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Figures that have the same shape and size and the measure of the angles is the same?
They are said to be congruent.
How are corresponding angles of two similar figures related?
They have the same measure.
How are corresponding angles of similar figures related?
Corresponding angles of similar figures are always congruent, meaning they have the same measure. This property arises because similar figures maintain proportional relationships between their corresponding sides while preserving the shape. As a result, the angles do not change, ensuring that each corresponding angle remains equal in measure. Thus, if two figures are similar, their corresponding angles will be identical.
What is the two figures if they have corresponding angles and sides with same measure?
They are said to be congruent
Why is there a need to use a straightedge and compass to construct geometric figures?
The compass is used to measure angles. The straightedge is used to draw a straight line. The two items together, are used to measure and draw angles and lines in geometric drawings.
Do the angles of similar figures have the same measure?
Yes. Similar figures are the same shape, but not necessarily the same size; their angles are equal.
Figures that have the same shape and size and the measure of the angles is the same?
They are said to be congruent.
How are corresponding angles of two similar figures related?
They have the same measure.
How are corresponding angles of similar figures related?
Corresponding angles of similar figures are always congruent, meaning they have the same measure. This property arises because similar figures maintain proportional relationships between their corresponding sides while preserving the shape. As a result, the angles do not change, ensuring that each corresponding angle remains equal in measure. Thus, if two figures are similar, their corresponding angles will be identical.
What is the two figures if they have corresponding angles and sides with same measure?
They are said to be congruent
Why is there a need to use a straightedge and compass to construct geometric figures?
The compass is used to measure angles. The straightedge is used to draw a straight line. The two items together, are used to measure and draw angles and lines in geometric drawings.
What is adjacent and congruent angles?
Adjacent angles are two angles that share a common vertex and a side but do not overlap. Congruent angles are angles that have the same measure, meaning they are equal in size. If two adjacent angles are congruent, they each measure the same, making them both equal in degree. This often occurs in situations involving geometric figures, such as when two angles form a straight line or a right angle.
If the internal angles of a triangle are in a ratio 3 5 7. Find the degree measures of the angles. Also find the measure of its greatest exterior angle?
Its interior angles are 36, 60 and 84 degrees respectively with its greatest exterior angle being 144 degrees.
Are congruent angles angles that have measure?
Yes, congruent angles are angles that have the same measure.
What measure of a intercepted arc?
Examples to show how to use the property that the measure of a central angle is equal to the measure of its intercepted arc to find the missing measures of arcs and angles in given figures.
Do similar figures have corresponding angles that are supplementary?
Corresponding angles in similar figures should be the same, not supplementary.
What is different about similar and congruent figures?
Congruent figures are identical in dimensions and angles whereas similar figures have dimensions in proportion to congruent figures but both have exactly the same angles.
