31.6k views
4 votes
Can't figure out the other ones. There are two inages for this. Use the square to answer the following questions. DC=8.5 and DW=6

Can't figure out the other ones. There are two inages for this. Use the square to-example-1
Can't figure out the other ones. There are two inages for this. Use the square to-example-1
Can't figure out the other ones. There are two inages for this. Use the square to-example-2

1 Answer

8 votes

Answer:

6; 12; 8.5; 90°; 90°; 45°; 45°

Explanation:

A square has all sides the same length, and diagonals the same length. The diagonals bisect the right angles in the corners, and they cross at right angles.

__

As you have already observed, ...

BW = DW = 6

AC = BD = 2(DW) = 2(6) = 12

Further, ...

DA = DC = 8.5 . . . . sides of a square are the same length

∠DWA = 90° . . . . . diagonals cross at right angles

∠ABC = 90° . . . . . corner angles are right angles

∠ABD = 45° . . . . . the diagonal cuts the corner angle in half

∠DCA = 45° . . . . . all of the acute angles are congruent

_____

Additional comment

A square is a rhombus that is also a rectangle. The relevant characteristics are ...

  • all sides of a rhombus are congruent
  • the diagonals of a rhombus cross at right angles. Each bisects the vertex angles at either end, which are congruent.
  • the corner (vertex) angles of a rectangle are right angles
User Dtjmsy
by
8.1k points

Related questions

asked Dec 15, 2023 195k views
Logicalmind asked Dec 15, 2023
by Logicalmind
8.8k points
1 answer
4 votes
195k views
asked Sep 11, 2024 32.7k views
MohammadHossein R asked Sep 11, 2024
by MohammadHossein R
7.9k points
1 answer
1 vote
32.7k views