Question 3

Mathematics

1 answer:

AleksAgata [21]3 years ago

6 0

Sarah I have to go 3.2

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State if the triangle is congruent

melisa1 [442]

Answer:

Step-by-step explanation:

m∠ JHI + m∠GHJ = 180 { linear pair}

m∠JHI + 90 = 180

m∠JHI = 180 -90 = 90

In ΔGHJ and ΔJHI,

GJ = IJ { given}

JH = JH {common}

m∠ JHI = m∠GHJ { above proved}

ΔGHJ ≅ ΔJHI { Angle Side Side congruence}

8 0

3 years ago

Print, then use the following image to create a tangent line. Upload the constructed image as your final answer.

tia_tia [17]

Answer:

steps below

Step-by-step explanation:

To construct tangent line to a circle based on two main properties of tangent line and inscriber triangle of circle

1. A line is tangent to a circle when it intersects the circle in one point. At that point, the radius of the circle forms a right angle with the tangent line. If the radius forms a right angle with the tangent line, then the segment OP becomes the hypotenuse of the right triangle.

2. a triangle inscribed in a circle having a diameter (OT) as one side is a right triangle.

Construction:

1. connect P and circle center "O"

2. construct perpendicular bisector of PO --- AB, Intersect M will be the center of new circle and its radius is MP

3. With the center of "M" and radius MP: construct a circle and intersect original circle at "T" and "T'"

4. PT and PT' are the tangent lines