AnswersMathematics for College Liberal Arts Sem 2 1207350 BCPS 2026-27Area of Triangles and Parallelograms

Congruent and Similar Triangles in the Coordinate Plane (Sec 9-2) Answers

9 verified answers1 views
1
Free Preview

The vertices of triangle ABC are A(2,3), B(–1,2), and C(3,1). If ΔDEF ∼ ΔABC and DE = 4AB, what is the length of EF?

A
√10
B
√17
C
4√10
D
4√17
2
Free Preview

Question text not available

Question illustration
A
AB = 2AD
B
AD = 2AB
C
BC = 2DE
D
DE = 2BC
3

Triangle ABC is similar to triangle ADE, which is formed with angle A and side AD, as shown.

Question illustration
A
(2,–1)
B
(–1,2)
C
(–3,–1)
D
(–1,–3)
4

Question text not available

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
6

The vertices of ΔABC are A(1,–2), B(1,1), and C(5,–2). Which could be the side lengths of a triangle that is similar but not congruent to ΔABC?

A
3, 4, and 5 units
B
9, 12, and 15 units
C
6, 4, and 5 units
D
9, 12, and 5 units
7

Question text not available

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
8

Question text not available

Question illustration
A
(–2,1)
B
(–3,2)
C
(1,0)
D
(1,2)
9

According to the diagram, which are congruent? Check all that apply.

A
ΔABC and ΔDEF
B
ΔABC and ΔDFE
C
∠BAC ≅ ∠DEF
D
∠ACB ≅ ∠DEF
E
AB and DF
F
AC and DF
10

The side lengths of triangle ABC are 3, 4, and 5. Which set of ordered pairs form a triangle that is congruent to triangle ABC?

A
(−3,1),(−3,5),(0,5)
B
(1,−2),(1,3),(4,3)
C
(6,−3),(1,−3),(6,1)
D
(1,3),(1,4),(5,1)

Did you find these answers helpful?

More from this Course

Quiz
10 verified answers

Figures in the Coordinate Plane

Quiz
10 verified answers

Perimeter and Area of Rhombi, Trapezoids, and Kites

Quiz
10 verified answers

Area of Triangles and Parallelograms

Congruent and Similar Triangles in the…