Question

1. what does sas stand for in the context of triangle similarity?

a. angle-side-angle
b. side-angle-side
c. side-side-side
d. side-side-angle

1. what does the distance formula calculate?

a. the angle between two points
b. the area between two points
c. the straight-line distance between two points
d. the midpoint between two points

1. what is the purpose of constructing rays when using the asa method?

a. to label the sides of the triangle
b. to measure the longest side
c. to find the intersection point of the angles
d. to verify the angle measurements

1. a city planner creates a scaled map of a residential area. the actual area is a rectangle by having a length of 800 meters and width of 1000 meters. using a scale factor of 0.01, what is the width of the scaled map?

a. 8 meters
b. 10 meters
c. 12 meters
d. 5 meters

1. what is the slope of a line through points (3, 4) and (7, 4)?

a. -1
b. 1
c. 0
d. 4

1. which proof method is best for comparing proofs with multiple triangles?

a. indirect proof
b. paragraph proof
c. flowchart proof
d. two-column proof

1. if a figure is dilated by a scale factor of 0.25, what happens to the distance between points in the figure?

a. they reduce to one-fourth their original lengths.
b. they remain the same as their original lengths.
c. they become congruent.
d. they increase by 25%.

Explanation:

Question 15

In triangle similarity/congruence, SSS stands for Side - Side - Side, which is a criterion for triangle congruence (if three sides of one triangle are equal to three sides of another triangle, the triangles are congruent). So we check the options: option c is Side - Side - Side.

The distance formula is used to calculate the straight - line (shortest) distance between two points in a coordinate plane. The formula is $d=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$, which gives the length of the line segment connecting two points, i.e., the straight - line distance. So the distance formula calculates the straight - line distance between two points. Among the options, option c says "The straight - line distance between two points".

When using the ASA (Angle - Side - Angle) method in triangle construction, overlapping rays are used to find the intersection point of the angles. This intersection point helps in determining the vertex of the triangle and constructing the triangle accurately. So the purpose of overlapping rays in ASA method is to find the intersection point of the angles. Option c is the correct one.

Answer:

c. Side - Side - Side

Question 16