What are the 3 Triangle Similarity Theorems? : AA~ : AAS~ : SAS~ : SSA~ : SSS~ : ASA~ 1 2

Q: Point A is located at (4, 8) and poiħt B is located at (14, 10) . What point partitions the directed…

A: Given: Point A is located at (4,8) and point B is located at (14,10).  Find the point that…

Q: How many triangles can be drawn in a plane using 8 non-collinear points?

A: How many triangles can be drawn in a plane using 8 non-collinear points?

Q: Draw a rectangle and bisect its angles. The bi- sectors intersect to form what special kind…

A: We are given:    ABCD rectangle: m∠DAB=m∠ABC=m∠BCD=m∠ADC=90°   m∠DAB=m∠ABC=m∠BCD=m∠ADC=90°AA'¯…

Q: Sketch the triangle with vertices O, P = (0,7,2) and Q = (5,0,4) and compute its area using cross…

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Q: How many triangles can be drawn on a palne using 8 non- collinear points?

A: Given:  How many triangles can be drawn on a palne using 8 non- collinear points?

Q: Which BEST describes the construction of a triangle if given one side length of 10 cm and one right…

A: Please see the explanation below

Q: hat has been the 5th Euclidean postulate has a significant role on the discovery of non-Euclidean…

A: Role of the 5th Euclidean postulate has a significant role on the discovery of non-Euclidean…

Q: What are the coordinates of the point on the directed line segment from (1, -5) to (10, 1) that…

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Q: Prove that the mid-points of the sides of any triangle form a triangle similar to the original…

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Q: What are the coordinates of the point on the directed line segment from (-1, –6) to (8, –3) that…

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Q: Let a triangular region be partitioned into two triangular regions by segment through a vertex. Show…

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Q: Use Clairaut's theorem to draw the geodesics of the catenoid

A: Solution :-

Q: What are the coordinates of the point on the directed line segment from (4, –3) to (9, –8) that…

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Q: Sketch the triangle with vertices O, P = (7,0, 3) and Q = (0, 5, 4) and compute its area using cross…

A: To sketch the triangle with vertices O, P=7, 0, 3, Q=0, 5, 4 and compute its area using cross…

Q: 7. Show that points (6, 1), (2, - 4), and (-2, 1) belong to an isoscles triangle.

A: 7. In this question we have to show that the given points belong to an isosceles triangle. Isosceles…

Q: Find the area of the triangle having vertices at (−2,3,1),(1,2,3) and (3,−1,2)

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Q: A triangle has vertices  (0, 0, 0), (1, 1, 1),  and  (0, −4, 5).  Find its area.

A: Consider the triangle with vertices (0, 0, 0), (1, 1, 1) and (0, -4, 5)Let  A(0, 0, 0), B(1, 1, 1)…

Q: Can the triangles below be proven similar by the SSS Similarity Postulate? Explain. 125 125 25 No,…

A: We have the given figure as Here, all three sides of both the triangles are missing. So we can not…

Q: Find point G on segment AB such that the ratio of AG to GB is 3:2

A: This is  a problem related to line and it's division. Based on the general formula and concept we…

Q: What are the coordinates of the point on the directed line segment from (4, 3) to (9, 8) that…

A: Our Aim is to find the coordinates of the point on the directed line segmentfrom (4,3) to (9,8) that…

Q: Point K is on line segment JL. Given JL = x + 10, KL = 4x, and JK = 2x, determine the numerical…

A: The diagram according to the given information is shown below, so, the equation will be, JL=JK+KL…

Q: 13-14. In AMAK, mzK = 44 and mzK > mLA. Which is the smallest side of the triangle?

A: Given: m∠K=44° and m∠K>m∠A

Q: 7. Paralelogram MNOP with verlices M1,7), N(8, 5), O(4, 2). and P(-3, 4): 180°

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Q: These two parallelograms are simi. 10 8. 3.75 O A. X = 3 о в. Х 3D3.5 C. X = 5 O D. X = 6.25 %3D

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Q: What are the coordinates of the point on the directed line segment from (3, 3) to (10,-4) that…

A: General formula

Q: Find all values of x so that the triangle with vertices A=(x, -3, 4), B=(-1,0, 6), and C=(-2, –2, 7)…

A: The given vertices are A=(x,-3,4), B=(-1,0,6) and C=(-2,-2,7) has area 4.

Q: 14. use integrathion to find the aien of the triangle the given ver tHces are (0,o). (1, 3), (3,1).

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Q: . Show that a triangle with vertices (1, 4), riangle. Find its area.

A: We will solve the problem.

Q: Is there more than one theorem that could be used to prove that AABD ACDB ? о yes no

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Q: 2. Find the midpoint of Segment AB, where Point A is at (-5,1) and Point B is at (15,8). O (5, 3.5)…

A: Mid point of a line segment is a point which is equidistant from the two endpoints of the line…

Q: What are the coordinates of the point on the directed line segment from (−10,−3)to (−10,−3)that…

A: It is known that the point C that divides a line segment in the ration m:n will be of the form…

Q: Compute the angle between the diagonals on two adjacent faces of a cube.

A: Consider the cube below where origin is one of its vertex, Let O be the origin and OD and OB be the…

Q: Draw three shapes that are symmetric. Draw at least one line of symmetry through each shape to prove…

A: The symmetric shape's are given below

Q: Farmula for area of triangle with vertices at (0,0) ,(a1,a2)  and (b1,b2)

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Q: A triangle has side lengths of 5 and 8 and an area of 16. Show that there are actually two possible…

A: Given that  the two sides of a triangle are 5 and 8 and area of that triangle is 16. Let sides of…

Q: 3. Show that a triangle with vertices (3, 7), (-1, 3), and (1, 9) is a right-angled triangle. Find…

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Q: 13. . There are 8 points in a plane out of which 3 are collinear. How many straight lines can be…

A: There are 8 points in a plane out of which 3 are collinear and 5 are non collinear points.

Q: Point J is on line segment IK. Given 15 and JK = 6, determine the IK length IJ.

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Q: Find all values of x so that the triangle with vertices A=(-2, –1, x), B=(-4, -2, –2), and C=(-2,…

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Q: It is a union of two non - collinear rays with common endpoint.a. Angleb. Degrees c. Vertexd. Sides

A: Given: Given the statement " It is a union of two non-collinear rays with common endpoint."  To…

Q: Select all of the triangle similarity conditions. SAS SS AA O HL O AAS O ASA

A: Topic: triangle similarity condition

Q: 9. Under what conditions could a geometry satisfy more than one of the parallel postulates? Explain.…

A: There are some points with explanation and example to understand you better.

Q: Point I is on line segment HJ. Given IJ = 4 and HI = 8, determine the length HJ. %3D %3D

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Q: What theorem can be used to prove that AABD ADCA? Explain by naming the corresponding parts of the…

A: We have different congruency theorem to prove the congruency of the two triangles.  Sum of them are…

Q: What are the coordinates of the point on the directed line segment from (–10, –1) to (10,-6) that…

A: If a point on the directed line segment from (x1, y1) to (x2, y2) partitions the segment into a…

Q: What are the coordinates of the point on the directed line segment from (-1, –2) to (9, –10) that…

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Q: A dart board consisti radius 1, 2 placed against a wa which lands at some hc

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Q: What are the exact values for the 6 trigonomic functions of a 300o angle?

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Q: 10. Triangle JLM with vertices J(-5, 7), L(8, 3), and M(-3, -1): (0, – 5) J'(__ L’(__ M’ (__,

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