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Given the statement: Elmwood st. and oak Dr. are the same distance.

All intersection are perpendicular.

To prove that: Peach Dr. tree is the same distance as Sycamore Ln.

It given that all the intersection are perpendicular which means each interior angles are of

By rectangle properties:

Since, Elmwood st. and oak Dr. are the same distance.

then, by rectangle properties;

Peach Dr. tree is the same distance as Sycamore Ln            proved!

6.10

(11)

Given: ,

To prove:

In ΔMAX and ΔHTX

   [Angle]               [Given]

     [Side]     [Given]

Vertical angle theorem states that angles that are opposite each other.

Since, these angles are formed when two lines cross each other.

And also vertical angles are congruent to each other.

Since,   ,  are vertical angles

     [Vertical angles are congruent]

AAS (Angle-Angle-Side) theorem states that if two angles and a non-included side in one triangle are congruent to two corresponding angles and a non-included side in another triangle, then those triangles are congruent.

Then, by AAS theorem,

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Given: ,

Prove that:  

In and

  [Side]          [Given]

      [Angle]                  [Given]

     [Vertical angles are congruent]

ASA (Angle -Side-Angle) theorem states that if two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, then these triangles are congruent.

then by ASA theorem;

CPCT [Corresponding Part of Congruent triangles are congruent.]

⇒ [By CPCT]        proved!

the thermometer is precise but not accurate

step-by-step explanation:

- 70

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