WorksheetsGeometry Semester 1 Review (Part 2) Best Standards
Total questions: 30
Worksheet time: 24mins
ΔMNP ≅ ΔSTU. Which of the following statements are true? Select all that apply.
∠M ≅ ∠S
NP≅ST
ΔPMN ≅ ΔUST
ΔMPN ≅ ΔUTS
MP≅ST
Given ∠R ≅ ∠T, ∠RSU ≅ ∠TUS, then ΔRUS ≅ Δ____?
SUT
STU
TSU
TUS
Which theorem can you use to prove that the triangles are congruent?
SSS Congruence Theorem
SAS Congruence Theorem
ASA Congruence Theorem
AAS Congruence Theorem
What additional information do you need to prove that ΔPQR ≅ ΔSRQ by the ASA Congruence Theorem?
∠P ≅ ∠Q
PQ≅SR
∠QRS ≅ ∠RQP
SQ≅PR
Given the figure shown to the right, write a two-column proof to prove ∠CAE ≅ ∠CEA
Given: || , ||
Prove: ΔABC ≅ ΔCDA
(a)
III, II, V, I, IV
III, II, V, IV, I
II, V, III, IV, I
I, II, III, IV, V
Why is ΔABC ≅ ΔGHJ?
Choose the correct answer below.
Since ΔABC ≅ ΔDEF by SAS and ΔDEF ≅ ΔGHJ by SSS, ΔABC ≅ ΔGHJ by the Transitive Property of Congruence.
Since ΔABC ≅ ΔDEF by SSS and ΔDEF ≅ ΔGHJ by SAS, ΔABC ≅ ΔGHJ by the Transitive Property of Congruence.
Since AC≅GJ and CB≅JH , ∠C must be congruent to ∠J. So, ΔABC ≅ ΔGHJ by SAS.
Since. AC≅GJ and CB≅CB must be congruent to
GH - So, ΔABC ≅ ΔGHJ by SSS.
Solve for the value of y.
(a)
What is the measure of the exterior angle?
(a)
What is the value of x?
6
9.75
17.25
30
A triangle has two sides measuring 8.5 cm and 15 cm. What is the greatest whole number length possible for the third side? Explain.
23; the third side length must be greater than 8.5 + 15 = 23.5. The smallest whole number greater than 23.5 is 23.
24; the third side length must be less than 8.5 + 15 = 23.5. The greatest whole number less than 23.5 is 24.
23; the third side length must be less than 8.5 + 15 = 23.5. The greatest whole number less than 23.5 is 23.
24; the third side length must be greater than 8.5 + 15 = 23.5. The smallest whole number greater than 23.5 is 24.
You construct a stage prop of a triangular mountain, ΔABC.
AB
is about 28 feet long,
BC
is about 26 feet long, and
AC
is about 35 feet long. Order the angles of ΔABC in order from smallest to largest. (Answer: Angle ?, Angle ?, Angle ?)
(a)
The angle measures of ABC are ∠A =35°, ∠B =42°, and ∠C =103°. List the sides of the triangle in order from longest to shortest.
(a)
Given
GF
≅
HJ
, how does GJ compare to HJ?
GJ > HJ
GJ < HJ
GJ = HJ
Not enough information to determine
If F, B, and D are midpoints of EC, AC, and AE respectively, then ...
(a)
Point N is the incenter of ΔABC. ND = 4x + 5 and NE = 8x – 3. What is NF?
1
2
9
13
Point D is the centroid of ΔABC, BD = 5x+2, and DF = 3x. Find the value of x.
(a)
Find the coordinates of the the circumcenter of ΔABC with vertices A (1, 0), B (7, −6), C (7, −4).
(a)
Find the coordinates of the the centroid of ΔRST with vertices R (−5, −9), S (6, −3), T (−1, 6).
(a)
DE is a midsegment to ΔABC. What is BC?
6
17.5
35
50
What is the perimeter of the triangle?
(a)
Which point of concurrency is point C?
Circumcenter
Incenter
Centroid
Orthocenter
Which of the following statements is false?
The incenter of a triangle is equidistant from the sides of the triangle.
The circumcenter of a right triangle is on the triangle.
The incenter of an obtuse triangle is outside the triangle.
The circumcenter of a triangle is equidistance from the vertices of the triangle.
The triangles in the diagram below are congruent.
If ΔJKL ≅ ΔONM then what is m∠N?
(a)
ΔFGH ≅ ΔJKL. What is the value of y?
(a)
Point P is located at (4, 8) on a coordinate plane. If a reflection is preformed, identify the transformation that would map Point P to the coordinate P’ (4, −8)?
A reflection over the line y = x
A reflection over the y−axis
A reflection over the x−axis
A reflection over the line y = − x
A triangle has vertices at A (−3, −1), B (−6, −5), C (−1, −4).
Which transformations would produce an image with vertices A’ (3, −1), B’ (6, −5), C’ (1, −4)?
A reflection over the x−axis
A reflection over the y−axis
A rotation 90° clockwise
A rotation 90° counterclockwise
The graph of a figure and its image are shown below. Identify the transformation to map the image back onto the figure.
Reflection
Rotation
Translation
Which transformation of the line x = 3 results in an image that is perpendicular to the given line?
A reflection over the line x = 1
A reflection over the y−axis
A reflection over the x−axis
A reflection over the line y = x
