Summative Review Part 1 – Triangles Part 2 – Lines, Rays, Angles Part 3 – Polygons Part 4 –...
Transcript of Summative Review Part 1 – Triangles Part 2 – Lines, Rays, Angles Part 3 – Polygons Part 4 –...
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Summative Review
• Part 1 – Triangles• Part 2 – Lines, Rays, Angles• Part 3 – Polygons• Part 4 – Coordinate Geometry• Part 5 – Similarity • Part 6 – Miscellaneous
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Please Take Out Worksheet From Yesterday and Continue Working!
Grab your calculators if needed!
(We will go over Part 1 Today)
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• Part 1 – Triangles
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14. The angle of inclination from an ants eye to the top of 75ft building is 42°, how far is the ant from the building?
15. An equilateral triangle has a side length of 6cm. Find the area of the triangle. Draw a picture and show your computations.
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Part 2 – Lines, Rays, Angles
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m
k
j
m1= 125° m 2= ________
m3= _______ m 4=_________
m5= _______ m 6=_________
m7=________ m 8=__________
87
65
43
2
Line j is parallel to line k.Line m is a transversal.
m1=125°
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1. Find the sum of the measures of the interior angles of a regular hexagon.
• Part 3 – Polygons
**2. Find the measure of an interior angle of a regular pentagon. Show or explain your work.
3. What is the sum of the measures of the exterior angles of any polygon?
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4. Which convex polygon’s interior angles has the same sum as the exterior angles? How do you know?
**5. Find the measure of an exterior angle of a regular octagon. Show or explain your work.
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6. Matt says that every quadrilateral with congruent diagonals is a square. Name a figure that can be used to disprove Matt’s statement.
7. Which quadrilaterals could be classified as parallelograms? (trapezoid, rhombus, square, kite, rectangle)
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8
6
4
2
-2
-4
-6
-8
-10
-10 -5 5 10
R'T'
Y
RT
• Part 4 – Coordinate Geometry
1) a) If triangle TRY is REFLECTED, what are the coordinates of Y?
b) If triangle TRY is TRANSLATED, what are the coordinates of Y?
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2) A circle is drawn on a grid. The endpoints of a diameter of the circle are (-2,17) and (8, 11). What are the coordinates of the center of the circle?
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8
6
4
2
-2
-4
-6
-8
-10 -5 5 10
(2,-6)K
**3) Given the diagram:a) Write an equation of a line that is PARALLEL to the line below and through the point k. b) Write an equation of a line that is PERPENDICULAR to the line below and through k.
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• Part 5 – Similarity 8
4
6
1215
10
G
F
E
D
CB
A
1. In the figure on the right, ABCD is similar to DGFE. Find the length of CD.
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2. Two circles have radii in the ratio 3:2. The larger circle has radii 12, what is the circumference of the smaller circle?
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**3. In the figures below, ABCDE is similar to HIJKL, what is the length of HI? What is the perimeter of HIJKL?
4
2
2.5
8
16
8
12
10
L
K
J
I
H
E
D
C
B
A
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• Part 6 – Miscellaneous
1. In the figure shown, <MQN is congruent to <POQ and segment NQ is congruent to segment OQ.
Explain why ΔMNQ is congruent to ΔPOQ. Use geometric theorems or postulates in your explanation.
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2. A signed Jermaine Dye 2005 World Series baseball is in a cubic display box. The ball has radius 3 inches and is snug in the box. What is the volume of space in the box that is not being occupied by Dye’s ball?