Vocabulary Applications
In a coordinate plane, point A is located at (-3, 4) and point B is at (2, 4). What type of line segment would AB form? a) Vertical b) Horizontal c) Diagonal d) Curved
b) Horizontal
If a triangle has angles measuring 35° and 65°, what is the measure of the third angle?
a) 80°
b) 85°
c) 75°
d) 70°
a) 80°
Given the preimage with vertices at (1,1), (3,1), (2,3), graph the dilated image using a scale factor of 2 and center of dilation at the origin.
(2,2)
(6,2)
(4,6)
The area of a circle is 324(pi) square meters. What is its radius?
A) 18 m
B) 36 m
C) 162 m
D) 9 m
A) 18 m
What statement best describes these triangles?
A) They are congruent
B) They are similar with a scale factor of 1/2
C) They are similar with a scale factor of 2
D) They are not similar
B) They are similar with a scale factor of 1/2
C) They are similar with a scale factor of 2
Which of these angles measures between 0° and 90°?
a) Obtuse angle
b) Acute angle
c) Right angle
d) Straight angle
b) Acute angle
Which pair of angles are complementary?
a) 120° and 60°
b) 45° and 45°
c) 30° and 60°
d) 100° and 80°
b) 45° and 45°
c) 30° and 60°
Given a line segment with endpoints at (0,1) and (0,5), find the length of the dilated segment when using a scale factor of 2 and center at (0,0).
8 units
New image - (0,2) and (0,10)
abs val of 2-10 = 8
The circumference of a circular track is 628 meters. What is its area?
A) 31,400 m²
B) 39,478 m²
C) 49,087 m²
D) 28,952 m²
A) 31,400 m²
C = (pi)(2)(r)...so r = 628/6.28 = 100 m
A = r^2(pi) =(100)^2(3.14) = 31,400 m^2
Which statement correctly describes the relationship between these rectangles?
A) The rectangles share the same perimeter
B) The rectangles are similar with a scale factor of 1/2
C) The rectangles are congruent
D) The rectangles have the same area
B) The rectangles are similar with a scale factor of 1/2
If two angles are complementary, and one angle measures 37°, what is the measure of the other angle?
a) 53°
b) 143°
c) 47°
d) 153°
a) 53°
Complementary = Sum to 90 degrees
53 + 37 = 90
In a right triangle, one acute angle is 25°. What is the measure of the other acute angle?
A) 65°
B) 75°
C) 55°
D) 45°
C) 55°
A dilated triangle has vertices at (6,6), (12,6), (9,12). If the center of dilation was at the origin and the scale factor was 3, graph the preimage.
(2,2)
(4,2)
(3,4)
A circular window has an area of 169(pi) square inches. What is its diameter?
A) 13 in B) 26 in C) 39 in D) 52 in
B) 26 in
If two triangles are similar and corresponding angles are ∠A and ∠D, which statement must be true?
A) ∠A is twice the measure of ∠D
B) ∠A and ∠D are complementary angles
C) ∠A and ∠D are supplementary angles
D) ∠A and ∠D are equal in measure
D) ∠A and ∠D are equal in measure
Two angles are supplementary. If one angle is 125°, what is the measure of the other angle?
a) 55°
b) 65°
c) 35°
d) 45°
a) 55°
Supplementary = sum to 180 degrees
What is the measure of each interior angle in a regular pentagon?
A) 108°
B) 120°
C) 72°
D) 90°
A) 108°
Pentagon 5 interior angles
(n-2)180 = sum of all interior angles
(5-2)180 = 3(180) = 540...540/5 = 108 degrees
A line segment with endpoints at (3,0) and (3,8) is dilated with a scale factor of 1/4 and center at (0,0). What is the length of the dilated segment?
2 units
New image - (3/4,0) and (3/4, 2)
abs val of 0 - 2 = 2
The area of a circle increases from 16(pi) to 64(pi) square meters. By what factor did its radius increase?
A) 2 B) 4 C) 8 D) 16
A) 2
factor of increase = scale factor
4 initial radius to 8 radius...4 * (factor of increase) = 8
Factor of increase = 2
In similar triangles ABC and DEF, if ∠B corresponds to ∠E, and ∠B measures 45°, what must be true about ∠E?
A) ∠E = 90°
B) ∠E = 45°
C) ∠E = 135°
D) ∠E = 60°
B) ∠E = 45°
Two figures are similar if:
a) They have the same size only
b) They have the same shape only
c) They have the same shape and size
d) They have the same shape but may be different sizes
d) They have the same shape but may be different sizes
A quadrilateral has angles of 120°, 80°, and 60°. The fourth angle must be:
A) 90°
B) 100°
C) 110°
D) 120°
B) 100°
(n-2)180 = Sum of interior angles
(4-2)180 = 2(180)= 360 degrees total
120+80+60 + x = 360
260 + x = 360...so x = 100
A dilated triangle has vertices at (10,10), (20,10), (15,20). If the center of dilation was at the origin and the scale factor was 5, graph the preimage.
(2,2)
(4,2)
(3,4)
A circular fountain has a radius of 7 meters. What is the difference between its circumference and area?
A) 153.94 m B) 109.96 m C) 131.95 m D) 144.51 m
B) 109.96
43.98229715= C
153.93804 = A
A - C = 109.96
In similar figures KLMN and PQRS, if KL corresponds to PQ, and KL is 8 units long while PQ is 2 units long, what is the scale factor from figure PQRS to KLMN?
A) 1/4
B) 1/2
C) 2
D) 4
D) 4
PQRS to KLMN = Scale Factor of 4
BE CAREFUL!!! KLMN to PQRS = Scale Factor of 1/4