Mixed examplesEXERCISE 81. Prove that A(-3; 2), B(1; -6) and C(1; 2) are the vertices of a right-angled trianglea. By showing that two of its sides are perpendicularb. By using the lengths of the sides onlyA(3; 4) B(1; 1) C(6; 2)a. Determine the midpoint of AC. Call this point MYou are further told that ABCD is a parallelogramb. Use the coordinates of midpoint M to find those of D2. Given:3. A median of a triangle is the line from a vertex of a triangle to the midpoint of theopposite side. Every triangle has three medians.Find the length of the median from P given that the triangle has vertices P(0; 1),Q(4; 3) and R(2; 5) leaving your answer in surd form.4. Show that the points A(0; 5 %), B(-1; 1), C(2; -2 ½) and C(3; 2) are the verticesof a rhombusa. By proving that all four sides are equalb. By proving that the diagonals bisect each other at righ angles5. Calculate the area of AABC with vertices A(5; 2), B(0; 0) ana C(4; –2)6. If a point with coordinates (a; b) is equidistant from points (3; 1) and (2; –-2), provethat a + 3b -1=0.7. Refer to the diagram. P, Q, R and S are midpoints of the' sides of quadrilateralАBCDa. Find the coordinates of P, Q, R and Sb. Find the midpoints of PR and QSc. What does that tell you about quadrilateral PQRS?A(3; 2)B(- 4; 5)D(0; -3)RC(-7;-2)Find the length of AB if A and B are the points of intersection of line2x-3y +6 = 0 with the axes.8.A straight line cuts the axes at points (0; a) and (a; 0) and passes through thepoint (3; -1). What is the equation of this line?9.

Name: Mixed examplesEXERCISE 81. Prove that A(-3; 2), B(1; -6) and C(1; 2)
Uploaded: 2024-03-20T06:47:08.000Z
Channel: Bartleby
Description: Mixed examplesEXERCISE 81. Prove that A(-3; 2), B(1; -6) and C(1; 2) are the vertices of a right-angled trianglea. By showing that two of its sides are perpendicularb. By using the lengths of the sides onlyA(3; 4) B(1; 1) C(6; 2)a. Determine the mid

As per bartleby answering guidelines, we are supposed to answer only one question at a time. In case…

Answered: 1. Prove that A(-3; 2), B(1; -6) and…

Math

Geometry

1. Prove that A(-3; 2), B(1; -6) and C(1; 2) are the vertices of a right-angled triangle a. By showing that two of its sides are perpendicular b. By using the lengths of the sides only CI6 2)

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter10: Analytic Geometry

Section10.CT: Test

Problem 20CT

See similar textbooks

Similar questions

The point mid ay between (a, b) and (c, d) _____________. So the point midway between (1, 2) and (7, 10) is ___________.
Which part hypothesis or conclusion of a theorem determines the a Drawing? b Given? c Prove?
Given these four points: A(1,3),B(3,5),C(4,7),andD(5,4) , find the coordinates of the midpoint of line segments AB and CD.
Square RSTV has diagonals RT and SV not shown. If the diagonals are drawn, how will their lengths compare? Do the diagonals of a square appear to be perpendicular?
a Does the similarity relationship have a reflexive property for triangles and polygons in general? b Is there a symmetric property for the similarity of triangles and polygons? c Is there a transitive property for the similarity of triangles and polygons?
Classify as true or false: a If the vertex angles of two isosceles triangles are congruent, the triangles are similar. b Any two equilateral triangles are similar.