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IRINA_888 [86]
3 years ago
11

What is the least angle measure by which this figure can be rotated so that it maps onto itself?

Mathematics
2 answers:
Vinil7 [7]3 years ago
7 0
T think its 90 hope this helpes

Romashka [77]3 years ago
7 0

<u>Answer-</u>

<em>90°</em><em> is the least angle measure by which this figure can be rotated so that it maps onto itself</em>

<u>Solution-</u>

As the figure has two axis of symmetry, placing x and y axis such that the origin lies on its centroid.

Angle between x axis and y axis is 90°.

So rotating any degree which is a multiple of 90 i.e 90°, 180°, 270°, 360°...... would yield the original figure.

Therefore, 90° is the least angle measure by which this figure can be rotated so that it maps onto itself.

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Answer is
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Assuming you wanted
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Step by step

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Answer:

1. AB ~= DF

2. Definition of Congruent

3. Reflexive Property of Congruency

4 BD=BD

6. AB+BD=AD; DF+BD=BF

7. Substitution Property of Equality

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Step-by-step explanation:

1. The given always goes first, and that's the first reason, so AB ~= DF must be the first statement (that should be the congruency symbol).

2. The definition of congruent is that if they are congruent then they are equal. Since that statement made two congruent lines equal, it must be the definition.

3. The reflexive property means something is congruent to itself, and BDis BD, therefore it is the reflexive property.

4. Remember if something is congruent then it is equal.

6. The segment addition postulate states that if we are given two points on a line segment, then AB+AC=AC.

7. In this statement AD was substituted for DF+BD. This can be done because of AB=DF and BD=BD as aforementioned.

8. If two things are congruent then they are equal by definition of congruency.

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