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Geometry

01/17/23

In a triangle ABC, it is known that AB=10, AC=9, cos/BAC =3/8 Points P. Q on Qon sides AB, AC such that the area of AAPQ is half of the area of AABC. For all points P. possible value of PQ is

In a triangle ABC, it is known that AB=10, AC=9, cos/BAC =3/8 Points P. Q onQonsides AB, AC such that the area of AAPQ is half of the area of AABC. For allpoints P. O satisfying the above, the... more

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Geometry Math

01/15/23

The figure below shows rectangle ABCD with diagonals segment AC and segment BD:

Zinnia wrote the following proof to show that the diagonals of rectangle ABCD are congruent:Zinnia's proof:Statement 1: Rectangle ABCD is givenStatement 2: ≅ because opposite sides of a rectangle... more

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Geometry

01/15/23

Basic triangle proofs congruency

Given: \overline{AD} \cong \overline{AB},AD≅AB, \overline{AB} \perp \overline{BC}AB⊥BC and \overline{AD} \perp \overline{DC}.AD⊥DC.Prove: \triangle ABC \cong \triangle ADC△ABC≅△ADC.

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Geometry

01/13/23

What is the inverse of the following conditional statement?

"If a number is a prime number, then it has no factors other than one and itself."If a number is not a prime number, then it has factors other than one and itself. If a number has no factors other... more

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Geometry

01/13/23

Which statement best explains why Ben uses the same width to draw arcs from A and B that intersect at S?

BQ = BS when ∠AQS ≅ ∠BQS. AQ = AS when ∠AQS ≅ ∠BQS. ∠AQS ≅ ∠BQS when AS = BS and AQ = BQ. ∠AQS ≅ ∠BQS when AS = BQ and BS = AQ.

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Geometry

01/13/23

Missy is constructing a fence that consists of parallel sides line AB and line EF. Complete the proof to explain how she can show that m∠AKL = 116° by filling in the missing justifications.

StatementJustification ∥ m∠KLF = 116° Given m∠KLF+ m∠BKL = 180° 1. m∠BKL + m∠AKL = 180° Linear Pair Postulate m∠KLF + m∠BKL = m∠BKL + m∠AKL 2. m∠KLF = m∠AKL Subtraction Property m∠AKL... more

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Geometry

01/13/23

Which of these is a correct step in constructing congruent line segments?

Use a straightedge to draw two equal arcs from the endpoints. Use a compass to join the endpoints of the line segment. Use a straightedge to measure the length of the line segment. Use a compass... more

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Geometry

01/13/23

Kyle is creating a frame for a model car. He begins by piecing two rods together, as shown in the diagram. Justify why AM = 6.

Definition of Perpendicular Bisector Definition of Midpoint Addition Property Subtraction Property

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Geometry

01/13/23

What is the image point of (0,-9)(0,−9) after the transformation T_{2,-4}\circ r_{y=x}T 2,−4 ∘r y=x ?

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Geometry

01/13/23

Basic Triangle Proofs (Congruence Only - No CPCTC)

Given: \overline{CA}CA bisects \angle BAD∠BAD and \overline{AC} \perp \overline{BD}.AC⊥BD.Prove: \triangle BAE \cong \triangle DAE△BAE≅△DAE.

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Geometry

01/13/23

The midpoint of AB is M(-6, "-4)" If the coordinates of A are (−4,−3), what are the coordinates of B?

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Geometry

01/13/23

The midpoint of AB is M(-6, "-4)" If the coordinates of A are (−4,−3), what are the coordinates of B?

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Geometry

01/12/23

Coordinate Geometry

The coordinates of two vertices of an equilateral triangle are(1,1) and (5,1). What are the coordinates of the third vertex?

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Geometry Math

01/12/23

GIVE CONCLUSION AND REASON FOR THE FOLLOWING (angles)

If a = b, and b = c If m< 1 = m< 2, m< 2 = m < 3 .< 1 is supplementary to < 3,< 2 is supplementary to < 3 < CAD is a right angle, < GHI is a right angle .If two... more

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Geometry

01/10/23

(-6,-5) and (2, 0)

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Geometry Math

01/10/23

A surveyor measures the angle of elevation to a point on a mountain that is 5 miles away to be 12 degrees.The vertical change in elevation from the surveyor to the point on the mountain is _ miles

A surveyor measures the angle of elevation to a point on a mountain that is 5 miles away to be . The vertical change in elevation from the point where the surveyor is standing to the point on the... more

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Geometry

01/10/23

A 36-in. by 36-in. ceramic tile shower stall is being installed. How many 4-in. by 4-in. tiles are needed to cover the floor? (Area and division problem)

Hey, so I first wanted to find the area of the ceramic tile shower stall, 36 x 36 which is 1296in. Then, I found the area of the tiles that were going to be used so I multiplied 4 by 4 which is... more

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Geometry

01/10/23

A swimming pool measures 36 ft. by 20 ft. How much fencing is needed if the fence is to be built 9 ft. from each side? (Perimeter problem, show and use the formula for a perimeter)

So I multiplied 2 and 9 because it was said 9ft were added to each side of the fence. I then added 18 to each 36 and 20. So I placed the values into the formula like so, 2(36+18) + 2(20+18) = 2(54)... more

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Geometry

01/09/23

∆𝐴𝐵𝐶 is an equilateral triangle with a side length 12 inches. What is the height of ∆𝐴𝐵𝐶? Provide your answer in simplest radical form.

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Geometry

01/09/23

If the hypotenuse of a 30°-60°-90° triangle is 8 cm, what is the measure of the longer leg of the triangle?

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Geometry

01/09/23

Mr. Grant has a tree farm in the shape of a square. Half the farm has trees that he uses to make pencils and the other half are maple trees that he uses to make maple syrup.

The farm is divided into two equal sections along a 400-foot diagonal as shown. What is the length of one side of the tree farm? Represent your answer in the simplest radical form and provide the... more

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Geometry

01/09/23

A figure is shown. What is the angle measure of x?

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Geometry

01/09/23

A roof truss is a network of pieces of wood thay forms a stable structure to support a roof, as shown below.Prove that triangle fgb is congruent to triangle hgb

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Geometry

01/09/23

A roof truss is a network of pieces of wood thay forms a stable structure to support a roof, as shown below.Prove that triangle fgb is congruent to triangle hgb

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Geometry Math

01/09/23

Lines m and n are cut by a transversal, as shown in the figure.

Given line m is not parallel to line n, prove ∠3 is not congruent to ∠5 by contradiction. (2 points for the assumption statement, 4 points for the remainder of the proof)

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In a triangle ABC, it is known that AB=10, AC=9, cos/BAC =3/8 Points P. Q on Qon sides AB, AC such that the area of AAPQ is half of the area of AABC. For all points P. possible value of PQ is

The figure below shows rectangle ABCD with diagonals segment AC and segment BD:

Basic triangle proofs congruency

What is the inverse of the following conditional statement?

Which statement best explains why Ben uses the same width to draw arcs from A and B that intersect at S?

Missy is constructing a fence that consists of parallel sides line AB and line EF. Complete the proof to explain how she can show that m∠AKL = 116° by filling in the missing justifications.

Which of these is a correct step in constructing congruent line segments?

Kyle is creating a frame for a model car. He begins by piecing two rods together, as shown in the diagram. Justify why AM = 6.

What is the image point of (0,-9)(0,−9) after the transformation T_{2,-4}\circ r_{y=x}T 2,−4 ​ ∘r y=x ​ ?

Basic Triangle Proofs (Congruence Only - No CPCTC)

The midpoint of AB is M(-6, "-4)" If the coordinates of A are (−4,−3), what are the coordinates of B?

The midpoint of AB is M(-6, "-4)" If the coordinates of A are (−4,−3), what are the coordinates of B?

Coordinate Geometry

GIVE CONCLUSION AND REASON FOR THE FOLLOWING (angles)

(-6,-5) and (2, 0)

A surveyor measures the angle of elevation to a point on a mountain that is 5 miles away to be 12 degrees.The vertical change in elevation from the surveyor to the point on the mountain is _ miles

A 36-in. by 36-in. ceramic tile shower stall is being installed. How many 4-in. by 4-in. tiles are needed to cover the floor? (Area and division problem)

A swimming pool measures 36 ft. by 20 ft. How much fencing is needed if the fence is to be built 9 ft. from each side? (Perimeter problem, show and use the formula for a perimeter)

∆𝐴𝐵𝐶 is an equilateral triangle with a side length 12 inches. What is the height of ∆𝐴𝐵𝐶? Provide your answer in simplest radical form.

If the hypotenuse of a 30°-60°-90° triangle is 8 cm, what is the measure of the longer leg of the triangle?

Mr. Grant has a tree farm in the shape of a square. Half the farm has trees that he uses to make pencils and the other half are maple trees that he uses to make maple syrup.

A figure is shown. What is the angle measure of x?

A roof truss is a network of pieces of wood thay forms a stable structure to support a roof, as shown below.Prove that triangle fgb is congruent to triangle hgb

A roof truss is a network of pieces of wood thay forms a stable structure to support a roof, as shown below.Prove that triangle fgb is congruent to triangle hgb

Lines m and n are cut by a transversal, as shown in the figure.

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What is the image point of (0,-9)(0,−9) after the transformation T_{2,-4}\circ r_{y=x}T 2,−4 ∘r y=x ?