- #1
masterofthewave124
- 74
- 0
1. The angles at the base of a triangle are 35° and 65° respectively. If the vertical angle is bisected, calculate the angles that the bisector makes with the base.
First of all, I don't know what is a veritcal angle but I assumed it was the other angle in the triangle. In that case, it was pretty easy, using Angle Sum Triangle Theory, I got 105 and 75. Can someone confirm?
2. The point P lies within the angle ABC and is equidistant from AB and BC. Prove that PB bisects the ∠ABC.
This one I'm struggling with. Especially since the distance PB is equidistant with the two sides is always changing.
3. State the converse of the following:
a. If the sum of the angles in a closed figure is 180 degrees, then the figure is a triangle
b. If the vegetable is green, then it is a lettuce
c. If a month has 28 days, then it is February
d. If an animal has four legs and a tail, then it is a cat
e. If all answers on a test are correct, then no errors have been made
Straight-forward and I have answers, just would like to verify them.
4. A fence post 4.5 m high casts a shadow of 2.75 m. At the same time a nearby lamp post cast a shadow 13.75 m in length. Find the height of the lamp post.
No clue.
First of all, I don't know what is a veritcal angle but I assumed it was the other angle in the triangle. In that case, it was pretty easy, using Angle Sum Triangle Theory, I got 105 and 75. Can someone confirm?
2. The point P lies within the angle ABC and is equidistant from AB and BC. Prove that PB bisects the ∠ABC.
This one I'm struggling with. Especially since the distance PB is equidistant with the two sides is always changing.
3. State the converse of the following:
a. If the sum of the angles in a closed figure is 180 degrees, then the figure is a triangle
b. If the vegetable is green, then it is a lettuce
c. If a month has 28 days, then it is February
d. If an animal has four legs and a tail, then it is a cat
e. If all answers on a test are correct, then no errors have been made
Straight-forward and I have answers, just would like to verify them.
4. A fence post 4.5 m high casts a shadow of 2.75 m. At the same time a nearby lamp post cast a shadow 13.75 m in length. Find the height of the lamp post.
No clue.