Similarity
AA, SAS, ASA
Geometric Mean (PAAP/HLLP)
Centroid
Part/Whole
100
Triangle JGR is similar to triangle MST. Which of the following statements is not always true?
A) <J = <M
B) <G = <T
C) <R = <T
D) <G=<S
B
100
What is the difference between SAS for similarity and for congruence?
For similarity the sides are proportional, for congruence they are equal.
100
What is the correct proportion to use PAAP?
x/z = z/y
100
What are the coordinates of the point of
intersection of the medians of ABC?
(-1, 2)
100
In triangle ABC below, D is a point on AB and E is
a point on AC, such that DE is parallel to BC. If AD = 12, DB = 8, and EC = 10, what is the
length of AC?
25
200
If triangle ABC ~ triangle ZXY, the measure of angle A = 50, and the measure of angle C is 30, find the measure of angle X.
100
200
What similarity relation shows the triangles are similar?
SAS
200
The accompanying diagram shows a 24-foot ladder
leaning against a building. A steel brace extends
from the ladder to the point where the building
meets the ground. The brace forms a right angle
with the ladder. What is the correct proportion to find the length of the steel brace?
10/x = x/14
200
In the diagram below of ACE, medians AD, EB,
and CF intersect at G. The length of FG is 12 cm. What is the length of GC?
24
200
Given MRO shown below, with trapezoid PTRO,
MR = 9, MP = 2, and PO = 4. What is the length of TR?
6
300
The sides of a triangle measure 7, 4, and 9. If the longest side of a similar triangle measures 36, determine and state the length of the shortest side of this triangle.
16
300
In the diagram of ABC and EDC below, AE
and BD intersect at C, and ∠CAB ≅ ∠CED. Which method can be used to show that the triangles are similar?
AA
300
In the diagram below of right triangle ABC, altitude
BD is drawn to hypotenuse AC, AC = 16, and
CD = 7. What is the length of BD?
sqrt(63)
300
In the diagram of ABC below, medians AD and
BE intersect at point F. If AD is 9, What is the length of FD?
3
300
In the diagram of ADC below, EB is parallel to DC, AE = 9,
ED = 5, and AB = 9.2. What is the length of AC?
14.3
400
The Rivera family bought a new tent for camping.
Their old tent had equal sides of 10 feet and a floor
width of 15 feet, as shown in the accompanying
diagram. If the new tent has equal sides of 16, find the measure of the base. 
24
400
In the diagram below of triangle PRT, Q is a point on PR, S is a point on TR, QS is drawn and <RPT = <RSQ. What similarity relation justifies the conclusion that the triangles are similar?
AA
400
In the diagram below of right triangle ACB, altitude
CD is drawn to hypotenuse AB. What is the length of DB?
32
400
As shown below, the medians of ABC intersect
at D. If the length of BE is 12, what is the length of BD?
8
400
In the diagram of ABC below, DE is parallel to
AB, CD = 15, AD = 9, and AB = 40. What is the length of DE?
25
500
If the image of A after a dilation of −2 is A′(−8,6), what are the coordinates of A?
(4, -3)
500
In triangles ABC and DEF, AB = 4, AC = 5, DE = 8, DF = 10, and ∠A ≅ ∠D. Which method could be used to prove ABC ∼ DEF?
SAS
500
Triangle ABC shown below is a right triangle with
altitude AD drawn to the hypotenuse BC. Determine the length of AB. 
sqrt(24)
500
The three medians of a triangle intersect at a point. Which measurements could represent the segments of one of the medians?
A) 2 and 3
B) 3 and 4.5
C) 3 and 6
D) 3 and 9
C
500
In the diagram below, BC connects points B and C
on the congruent sides of isosceles triangle ADE,
such that ABC is isosceles with vertex angle A. If AB = 10, BD = 5, and DE = 12, what is the
length of BC?
8