Question

Hi! Please answer these all. (Spam answers will be reported.)

1. The Senate rejects the President’s appointment, Judge Smith, to the Supreme Court because of her anti-environmental views.
This shows the _____(1)________ branch checking the____(2)_______ branch.


2. The President calls a special session of Congress, requiring all the members to return to Washington, D.C. from their July recess.
This shows the ________(1)______ branch checking the _____(2)______ branch.


3. The House and Senate override the President’s veto of an education bill with a two-thirds vote.
This shows the _______(1)___________ branch checking the ____(2)_____ branch.

4. The U.S. Supreme Court rules that a federal law is unconstitutional because it violates Americans’ first amendment rights.
This shows the _______(1)_______________ branch checking the _________(2)__________ branch.

5. Congress impeaches the President for speeding through the streets of Washington in his limo at 100 miles an hour just for fun. The reckless driving kills several citizens.
This shows the ________(1)___________ branch checking the ________(2)_________________ branch.

6. The Senate rejects the President’s appointment for Secretary of Labor because he does not believe in the minimum wage.
This shows the _______(1)_________ branch checking the ________(2)________ branch.

7. In 1996, Congress rejects the President’s budget proposal and the federal government is temporarily shut down as a result.
This shows the ________(1)______________ branch checking the _________(2)_____________ branch.

Answer 1

Answer:

Given -

BE and CF are 2 equal altitudes.

To find -

That ∆ABC is an isosceles triangle.

Solution -

In ∆BCF and ∆CBE

→ \angle∠ BFC = \angle∠ CBE (Both 90°)

→ BC = BC (common)

→ FC = CB (Given)

\therefore∴ ∆BCF ≈ ∆CBE (RHS rule)

So,

\angle∠ FCB = \angle∠ ECB (CPCT)

Similarly -

AB = AC (Side opposite to the equal angles of a triangle are also equal)

\therefore∴ ∆ABC is an isosceles triangle.

Hence, proved!

Some more rules of a Triangle -

ASA rule

When 2 angles and one side of a Triangle are equal to the 2 angles and one side of another Triangle. Then Triangles are congurent.

SAS rule

When 2 sides and one angle of a triangle are equal to the 2 sides and one angle of another Triangle. Then Triangles are congurent.

SSS rule

If 3 sides of a Triangle are equal to the 3 sides of another Triangle. Then Triangles are congurent.

RHS rule

If in 2 right triangles the hypotenuse and one side of one Triangle are equal to the hypotenuse and one angle of another Triangle. Then Triangles are congurent.

AAS rule

When 2 angles and one sides are equal to 2 angles and one side of a Triangle. Then Triangles are congurent.

______________________________________