All categories

2 years ago

Given: QM is the angle bisector of ∠LMP QM is the angle bisector of ∠PQL Prove: LM ≅PQ

Mathematics

2 answers:

photoshop1234 [79]2 years ago

8 0

Answer:

Step-by-step explanation:

QM is the angle bisector of ∠LMP

∠LMQ = ∠QMP

QM is the angle bisector of ∠PQL

∠PQM = ∠MQL

MQ = QM as common

By ASA, triangle MQP ≅ MQL

LM = PM and LQ = PQ as they are same side of congruent triangles

Triangle LPQ and LPM are isosceles

By angle bisector theorem, LP is perpendicular to MQ

By properties of rhombus, the two diagonals are perpendicular proves that LMPQ is a rhombus.

LM ≅ PQ

lbvjy [14]2 years ago

5 0

Answer:

Step-by-step explanation:

∠LMQ = ∠QMP QM is the angle bisector of ∠LMP

∠PQM = ∠MQL QM is the angle bisector of ∠PQL

MQ = QM common

MQP ≅ MQL ASA

LP ⊥ MQ angle bisector theorem

LMPQ is rhombus property of rhombus

LM ≅ PQ property of rhombus

You might be interested in

Rose is making greeting cards, which she will sell by the box at an arts fair. She paid $50 for a booth at the fair, and the mat

dusya [7]

Answer:multiply

Step-by-step explanation:6x4 but i aint sure tho

5 0

2 years ago

Need a answer ASAP!!!!!!!

cluponka [151]

The function of the inverse is
Option.A k(x)=3x-7/18 I gotcha

3 0

2 years ago

You saved $140 on your new laptop because you bought it online. If this was a 20% savings from the original price, Find the orig

Elenna [48]

Let the original cost of laptop=x
Savings=20% = 20/100
Saved amount = $140
Original cost = saved amount * 1/savings
x = 140* 100/20
x = $7000

5 0

2 years ago

Find the scale factor of the dilation shown A. 1/2 B. 3/2 C. 2 D. 2/3

AleksandrR [38]

Answer:

Step-by-step explanation:

To go from 6 to 9 you'd first have to divide 6 by 2 and the multiply by 3,

so $\frac{1}{2}$ x 3 = $\frac{3}{2}$

8 0

3 years ago

Read 2 more answers

Solve for x. Bx (4x + 30) F bisects <CDE.

EleoNora [17]

Answer:

8x = 4x+30

x=7.5

Hope this helps!! Have a good day and remember to be tiger fierce!! :)

5 0

2 years ago