# Geometry

30. PLis the angle bisector of KPM.Which can you conclude from this statement? You also can see this question number 30 on this website.Please add hyperlink.

1. 👍 0
2. 👎 0
3. 👁 147
1. Because PL bisects ∡KPM,
∡LPJ ≅ ∡LPN
Since both are right triangles, and they share hypotenuse LL, ∆ LPJ ≅ ∆ LPN by ASA. So, LJ ≅ LN
Using similar reasoning, using SAS, ∆LJK ≅ ∆LNM.
So, LN ≅ LJ

1. 👍 0
2. 👎 0
2. oops. typo. they share hypotenuse PL

1. 👍 0
2. 👎 0

## Similar Questions

1. ### Geometry

c. Given angle ABC has angle bisector BD, where AB = CB, find the value of x if AD = 5x + 10 and DC = 28 - x. Do I just set them equal to each other ?

asked by shelby on July 4, 2019
2. ### Geometry H

If BD is the angle bisector of

asked by Cody on September 21, 2016
3. ### trig

ABC is rightangled triangle. AD is the bisector of angle BAC. Angle DAC=15 degrees. X=CD. Find X. I know the answer is 7.1 but do not know how to do the actual sum. Can you please help AB = 23 CM

asked by jane on May 5, 2011
4. ### MAth

ina given parallelogram ABCD THE ANGLE BISECTOR OF ANGLE A BISECTS BC .WILL ANGLE BISECTOR OF B ALSO BISECT AD?GIVE REASON.

asked by DEEPI on May 1, 2017
1. ### Geometry

1) What are the converse, inverse, and contrapositive of the statement? Which statements are true? If the figure is a rectangle with sides 2 cm and 3 cm, then it has a perimeter of 10cm. My A: the statement is not true. 2) What

asked by Mary on October 7, 2016
2. ### MMATH08

IN PARALLELOGRAM ABCD, BISECTOR OF ANGLE A BISECTS BC,WILL BISECTOR OF ANGLE B BISECT AD,EXPLAIN HOW.

asked by DIPI on May 2, 2017
3. ### MATH_URGENT

Let M be the midpoint of side \overline{AB} of \triangle ABC. Angle bisector \overline{AD} of \angle CAB and the perpendicular bisector of side \overline{AB} meet at X. If AB = 40 and MX = 9, then how far is X from line {AC}?

asked by RhUaNg on April 12, 2014
4. ### Math

Construct a triangle xyz in which xy=8cm, angle xyz=60° angle yxz=90°. A perpendicular bisector of xy and let it cut xy at p. Measure and state the length of pq

asked by Anonymous on September 4, 2019
1. ### Geometry

a. Find the length of the midsegment of an equilateral triangle with side lengths of 12.5 cm. b. Given that UT is the perpendicular bisector of AB, where T is on AB, find the length of AT given AT = 3x + 6 and TB = 42 - x. c.

asked by shelby on July 4, 2019

Which of the statements about the picture below is true? Choose 3. postimg(.)org/image/qb71bjkjh/f11870c4/ A. F is the circumcenter of the triangle

asked by Ren on December 20, 2016
3. ### Geometry

Which of the following must be true about a perpendicular bisector and the segment it bisects? a. the perpendicular bisector and the segment bisect each other b. the angle of intersection depends on the length of the line segment

asked by Anonymous on August 16, 2018
4. ### math

2. Which statement can you conclude is true from the given information? Given: the perpendicular bisector of .

asked by dashima on November 27, 2011