Refer to the attached image.
Given:
The measure of and .
Also, Three rays ML, MK, and MJ share an endpoint M. Ray MK forms a bisector as shown in the attached image and the bisector divides angle JML into two parts.
To Prove: is a right angle.
Proof:
Statements Reasons
1. Given
2. Given
3.
The reason for statement 3 is Angle addition postulate. As angle JML is composed of 2 angles that is angle JMK and angle KML. So by adding the measures of angles JMK and KML, we will get the measure of angle JML which is referred as Angle addition postulate.
4. Substitution property of equality
5. Simplification
6. JML is a right angle. Definition of right angle
Given:
circular merry-go-round that has a diameter of 15 feet.
Find: How much trim does he need to buy to put around the edge of the merry-go-round?
We need to find the circumference of the merry-go-round to get the measurement of the trim needed.
Circumference = π d
π = 3.14
d = diameter = 15 feet
Circumference = 3.14 * 15 feet
Circumference = 47.10 feet.
Mr. Osterhout needs to buy 47.10 feet of trim to put around the circular merry-go-round.
Answer:
A) T'(-2,3), U'(0,5), V'(-1,0)
You must have been taught postulates and theorems that allow you to prove triangles congruent, such as SSS, SAS, ASA, etc. Look at the given information of a proof, and see how from the given information, using definitions, postulates, and theorems you have already learned, you can show pairs of corresponding sides and angles to be congruent that will fit into the above methods. Then use one of the methods to prove the triangles congruent.