Mathematics, 20.01.2021 23:40 kitttimothy55
Given: M is the midpoint of
Prove: ΔPKB is isosceles
Triangle P B K is cut by perpendicular bisector B M. Point M is the midpoint of side P K.
It is given that M is the midpoint of and . Midpoints divide a segment into two congruent segments, so . Since and perpendicular lines intersect at right angles, and are right angles. Right angles are congruent, so . The triangles share , and the reflexive property justifies that . Therefore, by the SAS congruence theorem. Thus, because . Finally, ΔPKB is isosceles because it has two congruent sides.
corresponding parts of congruent triangles are congruent
base angles of isosceles triangles are congruent
of the definition of congruent segments
of the definition of a right triangle
Answers: 2
Mathematics, 21.06.2019 18:30
Select the lengths in centimeters that would form a right triangle
Answers: 1
Mathematics, 21.06.2019 18:30
If you have the following equation, 2/3x+5/6-x=2-3/4x what would you multiply each term by to get rid of all the fractions
Answers: 3
Mathematics, 21.06.2019 19:30
Two corresponding sides of two similar triangles are 3cm and 5cm. the area of the first triangle is 12cm^2. what is the area of the second triangle?
Answers: 1
Mathematics, 21.06.2019 23:00
Find the dimensions of the circle. area = 64π in.² r= in.
Answers: 1
Given: M is the midpoint of
Prove: ΔPKB is isosceles
Triangle P B K is cut by perpendic...
Triangle P B K is cut by perpendic...
Mathematics, 27.01.2021 04:30
Computers and Technology, 27.01.2021 04:30
Mathematics, 27.01.2021 04:30
Arts, 27.01.2021 04:30
Chemistry, 27.01.2021 04:30
Mathematics, 27.01.2021 04:30
Mathematics, 27.01.2021 04:30
Mathematics, 27.01.2021 04:30
Arts, 27.01.2021 04:30
History, 27.01.2021 04:30
Biology, 27.01.2021 04:30
Mathematics, 27.01.2021 04:30