AAS, HL, and Invalid Tests: Practice Level 1 | Geometry

Level 1 · Foundational 0 / 12 answered

Question 1 of 12

1

What extra fact turns two matching angle pairs into three matching angle pairs?

Answer choices for question 1 A The triangle angle sum is 180 degrees B The triangles have equal areas C The triangles are drawn at the same scale D Every triangle has a right angle
2

AAS uses two corresponding angles and which side information?

Answer choices for question 2 A Three equal angles and no side length B Two equal hypotenuses without right angles C One pair of equal corresponding sides not between the given angles D One equal side with any vertex matching
3

In triangle ABC, which two sides are not included between angles A and C?

Answer choices for question 3 A AC only B AB and BC C AB and AC D AC and BC
4

Which side of a right triangle is its hypotenuse?

Answer choices for question 4 A Either side meeting at the right angle B The side drawn horizontally C The side with an unknown length D The side opposite its right angle
5

Which given data are enough for the HL criterion?

Answer choices for question 5 A Two side pairs and any angle pair B Only two right angles C Both triangles are right, with equal hypotenuses and one equal pair of corresponding legs D Three angle pairs and no side lengths
6

Which list is not a triangle congruence criterion in general?

Answer choices for question 6 A AAA B SSS C ASA D AAS
7

What does the failure of SSA as a general congruence criterion mean?

Answer choices for question 7 A No two triangles with SSA data can ever be congruent B SSA data always fit exactly two triangles C SSA and SAS mean the same thing D SSA data can fit two noncongruent triangles
8

In this lesson's HL proof, the equal hypotenuses form two sides of what larger triangle?

Answer choices for question 8 A A triangle with three right angles B An isosceles triangle C An equilateral triangle in every case D A degenerate triangle in every case
9

Two triangles have matching angles of 41 and 82 degrees. What is the third angle in each?

Answer choices for question 9 A 123 degrees B 98 degrees C 57 degrees D 139 degrees
10

Both compared triangles have a right angle, but only their hypotenuses are known equal. Does HL apply?

Answer choices for question 10 A Yes, the right angles are enough additional information B No, an equal pair of corresponding legs is also needed C Yes, the unknown legs can be assumed equal D No right triangles can be congruent
11

Triangles ABC and DEF have the following givens:
$\begin{aligned} AB&=DE. \\ AC&=DF. \end{aligned}$
Which angle pair is the included-angle pair for SAS?

Answer choices for question 11 A Angles BAC and EDF B Angles ABC and DEF C Angles BCA and EFD D Any angle pair
12

In a circle centered at C with radius 9, two points B1 and B2 lie on the circle. Which equality is guaranteed?

Answer choices for question 12 A $AB_1=AB_2$ for every point A B Angle CB1B2 is always 90 degrees C The two points must coincide D
$CB_1=CB_2$

$CB_1=9$