Ch.4 Review Part 3

Triangle ABC is congruent to Triangle DEF. What is the measure of ∠EDF?

Mathematical Equivalence

ON

Which triangle is congruent to ΔABC?

• ΔFED

• ΔKLM

• ΔGHJ

A business owner, Anna, wants to build a distribution center. Following are the possible methods Anna could use to find  a spot:

I.       Draw the three medians and find the land close to where the medians intersect.

II.     Draw the three perpendicular bisectors and find the land close to where the perpendicular bisectors intersect.

III.   Draw the three angle bisectors and choose the plot of land where the angle bisectors intersect.

IV. Find the distance between two of the stores and divide the distance by three and find the land nearby.

Anna wants to choose a spot that is equidistant from the 3 stores located at (2,4), (8,2), and (7,8). To accomplish this, she draws the triangle that connects the three points, which method would help her accomplish her goal?

• I.

• II.

• III.

• IV.

A business owner, Anna, wants to build a distribution center. Following are the possible methods Anna could use to find  a spot:

I.       Draw the three medians and find the land close to where the medians intersect.

II.     Draw the three perpendicular bisectors and find the land close to where the perpendicular bisectors intersect.

III.   Draw the three angle bisectors and choose the plot of land where the angle bisectors intersect.

IV. Find the distance between two of the stores and divide the distance by three and find the land nearby.

Anna wants to choose a spot surrounded by three streets that form a triangle. If she wants the distribution center to be equidistant from each street, which method would help her accomplish her goal?

• I.

• II.

• III.

• IV.

What is the value of x?

Mathematical Equivalence

ON

If ∆MNP is an equilateral triangle, find x and y.

x = ​ (a)  

y = ​ ​ (b)  

• 13
• 5
• 4
• -2
• 12
• 6
• 15