The answer is false because if you attach to triangles together in a way so that the figure would have 4 straight lines, you will get a rectangle. that means half of a rectangle is a triangle, so the area of both cannot be the same even if they have the same base and height.
for example the base and height of both is 3cm and 5cm.
area of the rectangle then would be,
area= base× height
=3cm×5cm=15cmsquared
then the area of the triangle would be,
area= base×height divided by 2
=3cm×5cm÷2= 7.5cm
so your answer is false
hope this helps....
Step-by-step explanation:
Given:
AD is the bisector of ∠BAC
∠CPD = ∠BPD
1) ∠CAP = ∠BAP
Reason: definition of angle bisector
2) ∠CPD = 180 − ∠APC, ∠BPD = 180 − ∠APB
Reason: definition of supplementary angles
3) 180 − ∠APC = 180 − ∠APB
Reason: substitution
4) ∠APC = ∠APB
Reason: algebra
5) AP = AP
Reason: reflexive property
6) ΔAPC ≅ ΔAPB
Reason: ASA congruence
Answer:
m∡5 = 71°
Step-by-step explanation:
m∡8 = m∡6
m∡6 + m∡5 = 180
180 - m∡6 = m∡5
180 - 109 = 71
