Ratios and Proportions
Triangles!
Similarity/Congruency
Perpendicular Bisectors
Potpourri
100
The value of x to make the proportion true.
x = 3
100
Find the measure of the missing angle.
The angle is 53 degrees.
100
The additional information is needed to show these triangles are CONGRUENT by Side-Side-Side.
UT = WX
100
What three (3) side lengths will be congruent to side BC?
AB, AD, and DC
100
Solve for x.
x=109
200
On a map, 1 inch represents 3 miles. Two cities are 12 miles apart.
How far apart are they on the map?
4 inches apart
200
Find the value of x
X= 44
200
The additional information is needed to show these triangles are CONGRUENT by Side-Angle-Side.
Angle GIH = JHI
200
Assume length AC is 12 feet. If length BD is a perpendicular bisector, what is the length of DC?
6 feet
200
Solve for the variable x:
3(2x + 5) - 4x = 22
x= 3.5 or 7/2
300
The value of x to make the proportion true:
x = 0
300
Solve for X
x=14
300
Given that the triangles are SIMILAR, this is the length of line segment KJ.
22 units
300
What is the measure of angle CBD?
19 degrees
300
Find the measure of angle A and angle B
Angle A = 42 degrees
Angle B = 69 degrees
400
The two (2) values for x that makes the proportions true:
x = 35 or -35
400
Solve for x.
x=50
400
The value of x in the SIMILAR triangles shown.
x=4
400
What is the measure of angle BAC?
46 degrees
400
Find the lengths of all three (3) sides
XY = 29
YZ = 29
XZ = 48
500
Two triangular bridge supports are similar. One has a height of 6 ft and a base of 8 ft. The second has a base of 20 ft.
How tall is the second support?
15 feet
500
Solve for the missing angles.
The missing angles are 70 degrees.
500
The value of the variable x to make the triangles SIMILAR.
NOTE: ST and DC are the shortest sides
x=8
500
Assume length AB is 13 meters and length AC is 20 meters. If length BD is a perpendicular bisector, what is the length of BD?
Approx. 8.3 meters long
500
Determine the translation rule for the two triangles shown below:
T(x+3, y-2)