Given: ΔABC is an isosceles triangle where AB = BC.
Prove: m∠BAC = m∠BCA

Proof:
Statement Reason
1. Let ΔABC be an isosceles triangle where AB = BC. given
2. Create point D on so that bisects ∠ABC as shown. constructing an angle bisector
3. m∠ABD = m∠DBC definition of angle bisector
4. BD = BD
5. ΔABD ≅ ΔCBD SAS
6. m∠BAC = m∠BCA Corresponding angles of congruent triangles are equal.
20
What is the reason for statement 4 in this proof?
A.
Transitive Property of Equality
B.
definition of midpoint
C.
definition of parallel lines
D.
Reflexive Property of Equality

- "runner b is moving at a slower rate."

- "the graphs shown are graphs of distance(km) against time(min).

the slopes of this graphs are are given by:

slope = (change in y)/(change in x)

= (change in distance)/(change in time)

this is the formula for finding the speed. so, the slope of these graphs represent the speed of the runner.

taking each division in the graph to represent 1 on both axis:

runner a ⇒ speed = (2-0)/(1-0)

= 2/1

= 2 km/min

runner b ⇒ speed = (3-0)/(3-0)

= 3/3

= 1 km/min

this shows that   runner b is moving at a slower rate."

answer: (yeees, you need a poet.)

//blooming serenity//

beautiful in the morning

mysterious at night

wonderous nature souring

with all it's mystical might

the flower that blooms

to the fox that looms

nocturnal creatures

with various features

a blooming flower soon in sight

as a new little hatchling fears to take flight  

afraid to leave it's calming nest,

but dear little bird, mother knows best

as sure as there are stars in the sky,

life is not about who, where what, when or why-

it's the journey that follows

adventures we swallow

of   nature's deep wonders,

natural disasters and storm's thunders.

blooming serenity

life and nature, truly is heavenly.

-kerstien lehman

step-by-step explanation: