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GenaCL600 [577]
3 years ago
15

A student wants to construct the inscribed circle of a triangle. What is the first step he/she should take?

Mathematics
2 answers:
pantera1 [17]3 years ago
8 0

The <em>correct answer</em> is:


d) Construct the angle bisector of each angle in the triangle


Explanation:


The incenter, or center of an inscribed circle, is the point where the angle bisectors of a triangle intersect. This means the first thing we will need to construct is the bisector of each angle of the triangle.

amm18123 years ago
4 0

Answer:

construct the perpendicular bisector of each side of the triangle

Step-by-step explanation:

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Which group contains triangles that are all similar?
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Answer:

Triangles represented by option B are similar triangles.

Step-by-step explanation:

Please find the attachment.

We have been given 4 group of triangles and we are asked to find which group contains similar triangles.

A. We can see from our diagram that triangles provided in option A are not similar.

The first triangle is an isosceles right triangle as it has 2 angles each having measure 45 degrees. By angle sum property the measure of 3rd angle will be:

180^o-(45^o+45^o)=180^o-90^o=90^o

The second triangle is an equilateral triangle as all the sides equal to 7 units, so all angles will be equal to 60 degrees.

The 3rd triangle is an isosceles triangle as  it has 2 angles each having measure 53 degrees. By angle sum property the measure of 3rd angle will be:

180^o-(53^o+53^o)=180^o-106^o=74^o

We can see that none of the triangles have same angle measures, therefore, option A is not a correct choice.

B. The triangles provided in option B are similar triangles as each triangle have one right angle and they are sharing the same vertex.

Let us assume that the common vertex has x degrees angle, then by angle sum property the measure of 3rd angle in each triangle will be 180-90-x=90-x degrees. Therefore, the triangles provided in option B are similar triangles by AAA similarity theorem.

C. The triangles provided in option C are not similar triangles as we are not told that the given lines are parallel or not. In addition the bottom figure is a quadrilateral as it has 4 angles, Therefore, the given triangles are not similar triangles.

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(2z + 7) / y

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<h2><em><u>x = 4</u></em></h2>

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