Jamar and his family frequently drive from their home in Riverside, California, to Jamar’s grandparents’ house in Tucson,

Arizona. Because much of the drive is across the desert, Jamar’s

parents are usually able to drive at a constant rate for the entire

trip. Some data about a typical one-way trip are shown below.

Data for a Typical One-Way Trip

• The car’s gas tank holds 11 gallons of gas.

•

It takes 1

4 tank of gas to make 1

6 of the trip.

• The car uses 2

5 gallon of gas to travel 111

5 miles.

• The car travels 51

2 miles in 6 minutes.

1. Write a unit rate that describes the number of tanks of gas

required per trip.

2. Write a unit rate that describes how far the car travels per

a gallon of gas.

3. Explain how you can determine th

In δabc shown below, ∠bac is congruent to ∠bca: triangle abc, where angles a and c are congruent given: base ∠bac and ∠acb are congruent. prove: δabc is an isosceles triangle. when completed (fill in the blanks), the following paragraph proves that line segment ab is congruent to line segment bc making δabc an isosceles triangle. (4 points) construct a perpendicular bisector from point b to line segment ac . label the point of intersection between this perpendicular bisector and line segment ac as point d: m∠bda and m∠bdc is 90° by the definition of a perpendicular bisector. ∠bda is congruent to ∠bdc by the definition of congruent angles. line segment ad is congruent to line segment dc by by the definition of a perpendicular bisector. δbad is congruent to δbcd by the line segment ab is congruent to line segment bc because consequently, δabc is isosceles by definition of an isosceles triangle. 1. corresponding parts of congruent triangles are congruent (cpctc) 2. the definition of a perpendicular bisector 1. the definition of a perpendicular bisector 2. the definition of congruent angles 1. the definition of congruent angles 2. the definition of a perpendicular bisector 1. angle-side-angle (asa) postulate 2. corresponding parts of congruent triangles are congruent (cpctc)