Answer:
I believe it's the last one, if you start from the lowest vertex it would be M'H'I'J'K'L'
Slope: (9+9)/(2+4) = 18/6 = 3
Y- intercept:
9 = 3(2) + b
9 = 6 + b
b = 3
X- intercept:
0 = 3x + 3
-3 = 3x
x = -1
x-intercept: (-1,0)
y-intercept: (0,-3)
Answer:
See the attached figure.
Step by step solution:
<u>Part (1):</u>
When ΔABC is an isosceles triangle with AB = AC
The summing of the three of the triangle = 180°
∴ m∠ABC + m∠BAC + m∠ACB = 180°
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<u>Part (2):</u>
When ΔABC is an isosceles triangle with AB = AC
So, m∠ABC = m∠ACB = x
if m∠BAC = 70
∵ m∠ABC + m∠ACB + m∠BAC= 180°
∴ x + x + 70 = 180 ⇒ x = 55°
∴ m∠ABC = 55°
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<u>Part (3):</u>
When m∠QRP = 30°, and ΔPQR is an isosceles triangle with PQ = QR
So, m∠QPR = m∠QRP = 30°
====================================================
<u>Part (4):</u>
When m∠BAC = 45° and points D and E are the midpoints of AB and BC in ΔABC
∵ Points D and E are the midpoints of AB and BC in ΔABC
∴ DE // AC
∴ m∠BDE = m∠BAC ⇒ the corresponding angles are congruent
∴ m∠BDE = 45°