If a perpendicular bisector of all three segments of the following triangle are drawn, where will all three lines intersect?O The three lines will not intersect one anotherO Inside the triangleO Outside the triangleO On the triangleMacBook Air

If a perpendicular bisector of all three segments of the following triangle are drawn, where will all three lines intersect? The three lines will not intersect one another Inside the triangle Outside the triangle On the triangle

If a perpendicular bisector of all three segments of the following triangle are drawn, where will all three lines intersect? The three lines will not intersect one another Inside the triangle Outside the triangle On the triangle

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

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

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

Chapter3: Triangles

Section3.4: Basic Constructions Justified

Problem 38E

See similar textbooks

Related questions

Q: 1. If (0, 0), (3, 0) and (x, y) are the vertices of an equilateral triangle, find x and y.

Q: Prove If a line is drawn parallel to one side of a triangle to intersect the other two points .The…

Q: Prove that in any triangle, the lines joining the endpoints of the three medians form a triangle…

A: Lemma: In ∆ABC:Using this lemma we can say that From 1: ADAB = DFBC=> DFBC = 12 ---------aFrom 2:…

Q: If all perpendicular bisectors of all three segments of the following triangle are drawn, where will…

A: We know that, The circumcenter of a triangle is the point of intersection of the perpendicular…

Q: Suppose that two lines are cut by a transversal in such a way that the pairs of corresponding angles…

A: If the transversal line N of two lines L and M, then formed angles ∠1 & ∠2 and ∠3 & ∠4 are…

Q: If one pair of opposite sides in a quadrilateral is congruent, then the quadrilateral is a…

Q: If the diagonals of a quadrilateral bisect each other, then the quadrilateral is best described as a…

A: We will use the congruent properties of a triangle to prove the statement.

Q: If two sides of one triangle are congruent to two sides of another triangle , the triangles are…

Q: A parallelogram with all four sides congruent is classified as a:

A: Given : A parallelogram with all four sides congruent.

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

Q: Given line segment MN is parallel to line segment QR, prove triangle MNP is similar to triangle QRP

A: Given: The triangle MNP and the triangle QRP as shown in the figure. The line segment MN is…

Q: If all perpendicular bisectors of all three segments of the following triangle are drawn, where will…

A: NOTE: Refresh your page if you can't see any equations. . The perpendicular bisectors intersect…

Q: The fact that a parallelogram has pairs of parallel sides is stated in the definition of a…

Q: Find the lengths of the sides of a triangle, whose vertices are A = (2, 4, -1), B = (4, 5, 1), C =…

Q: If an observer positioned at the vertex of an angle views an object in the direction ofthe…

Q: Determine the relationship between the two triangles and whether or not they proven to be congruent.…

A: Two triangles given have the same length of their sides that means all the sides of first triangle…

Q: In Euclidean geometry, how many lines can be drawn through a point P not on a line that are a)…

A: In Euclidean geometry, how many lines can be drawn through a point P not on a line that is: a)…

Q: Prove that two right triangles are congruent if a leg and the altitude to the hypotenuse of one of…

A: Find: Prove that two right triangles are congruent if a leg and the altitude to the hypotenuse of…

Q: Is it possible to construct a triangle with the given side lengths

Q: Prove that a parallelogram is a rectangle if and only if its diagonals are equal in length. (This…

A: Let ABCD be a parallelogram. Given AC and BD are diagonals of parallelogram in equal length. In…

Q: prove: two isosceles triangles are similar if and only if their angles at the vertex are congruent

Q: If both pairs of adjacent sides and opposite sides are congruent in a parallelogram, then the…

Q: can a given line be in a two planes?in ten planes?

A: Yes, The given statement is true; A line can be drawn in a two planes ;…

Q: Can the following quadrilateral be proven to be a parallelogram based on the given information?

A: We will prove the given quadrilateral is a parallelogram or not in the following step.

Q: A set of points is called concyclic if all the points lie on a common circle. Prove that a…

Q: In any obtuse triangle, the square of the side oppo- site vne obtuse angle is equal to the sum of…

Q: Prove that a quadrilateral can be inscribed in a circle if and only if its opposite angles are…

Q: If line DB is the perpendicular bisector of AC, list all the congruent segments

Q: When parallelograms are rectangles Prove that a parallelogram is a rectangle if and only if its…

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: A cyclic quadrilateral is a quadrilateral whose vertices are on the circle. Are opposite angles of…

A: Given :- A cyclic quadrilateral is a quadrilateral whose vertices are on the circle

Q: Find the lengths of the sides of a triangle, whose vertices are A = (2, 4, –1), B = (4, 5, 1), C =…

Q: 3. Show that the altitudes of the triangle are concurrent.

Q: In ASTU, mZS = 14° and mZT = 50°. Which list has the sides of ASTU in order from shortest to…

Q: Show that if a line is drawn from the vertex of an isosceles triangle that bisects the base of the…

A: Let ABC is an isosceles triangle such that AB=AC. Let AD is the bisector of angle A. To prove BD=BC…

Q: If a parallelogram contains a 105° angle, then one of the other angles must also be 105°. O True O…

A: If a parallelogram contains a 105∘ angle , then one of the other angle must also be 105∘ a)…

Q: Prove that the line segment joining the midpoints of two sides of a triangle determines a triangle…

A: Let draw the triangle △ABC and the midpoints of the two sides as follows.

Q: Consider any eight points such that no three are collinear.How many triangles are determined?

A: Given: Eight point such that no three are collinear, To determine: The number of triangle that can…

Q: If the number of sides of a regular polygon is 8, then each exterior angle is equal to of its…

Q: If two segments are congruent then their lengths are

A: We have to check

Q: Determine the relationship between the two triangles and whether or not they can be proven to be…

A: topic - triangles the AAA (angle-angle-angle) similarity theorem: if two triangles have their…

Q: If the diagonals of a quadrilateral meet in a right angle, then the quadrilateral is best described…

A: The diagonals of a parallelogram does not always meet at 90 degrees

Q: According to the Angle-Angle Similarity Postulate, if two triangles have two corresponding angles…

A: If two angles of a triangle are congruent to two angles of another triangle, then the two triangles…

Q: Suppose that A, B, C, D and A′, B′, C′, D′ (in those orders) form the vertices of convex…

A: Consider the given: Given:AB=A'B'In a parallelogram, parallel sides have equal length.In…

Q: 4. If each pre-image point is connected to its image point, write a statement showing which segments…

Q: Suppose you are given a line l and a triangle AABC such that A, B, and C do not lie on l. Prove that…

Q: How many different direct routes are there from point A to point B in the following figure? A

Q: Draw an inscribed quadrilateral ABCD and its diagonals intersecting at E. Name two pairs of similar…

A: Clearly from the below daigram we can see thatthe two pairs of…

Q: A diagonal may be inserted onto a diagram of a parallelogram to complete a proof involving the…

A: A parallelogram is a closed figure with 2 pairs of opposite sides parallel to each other.

Question

If a perpendicular bisector of all three segments of the following triangle are drawn, where will all three lines intersect?
O The three lines will not intersect one another
O Inside the triangle
O Outside the triangle
O On the triangle
MacBook Air

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Basics (types, similarity, etc)$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.

Similar questions

Prove that the segment that joins the midpoints of two sides of a triangle has a length equal to one-half the length of the third side. HINT: In the drawing, MN is extended to D , a point on CD . Also, CD is a parallel to AB .
a What is the general name of the point of concurrence for the three perpendicular bisectors of the sides of a triangle? b What is the general name of the point of concurrence for the three medians of a triangle?
CM is the median for ABC from vertex C to side AB. a Name two line segments that must be congruent. b Is 1 necessarily congruent to 2?.
a Argue that the midpoint of the hypotenuse of a right triangle is equidistant from the three vertices of the triangle. Use the fact that the congruent diagonals of a rectangle bisect each other. Be sure to provide a drawing. bUse the relationship from part a to find CM, the length of the median to the hypotenuse of right ABC, in which mC=90, AC = 6, and BC = 8.
HA hypotenuse-angle is also a valid method for proving that two right triangles are congruent a Given that AD and ABDE in the right triangles shown, can HA be used to verify that ABCDEF? b Name another method SSS, SAS. etc. that can be used to verify that these triangles are congruent.
A line segment joins the midpoints of two opposite sides of a rectangle as shown. What can you conclude regarding MN,AB,DCandMN,AB,DC?
In ABC and DEF, you know that AD, CF, and ABDE. Before concluding that the triangles are congruent by ASA, you need to show that BE. State the postulate or theorem that allows you to confirm this statement (BE).
With reference to 1, name each of the sides of the following triangles as opposite, adjacent, or hypotenuse. Name sides m, p, and s.