Geometry PARCC

Congruence

100

Name 4 things that two congruent shapes will have in common 

size

shape

angles

area

perimeter

side lengths

segment lengths

200

What transformation is happening here?

a) Rotate 180 degrees clockwise about the origin

a) Rotate 180 degrees counter-clockwise about the origin

c) Reflect over x axis

d) Reflect over y axis

c) Reflect over x axis

300

What transformation happened here?

a) Rotate 90 degrees clockwise about the origin

b) Rotate 90 degrees counter-clockwise about the origin

c) Reflect over x axis

d) Reflect over y axis

b) Rotate 90 degrees counter-clockwise about the origin

400

Write a congruence statement for the triangle that is congruent to triangle TSR

https://encrypted-tbn0.gstatic.com/images?q=tbn:ANd9GcQKfydO01uDZ3SQ3CtNsBC5ShL2FSmKXY8PrXkrNqQAOcKXd9ghRWl09Hs5N75j7en0Kz0:https://dr282zn36sxxg.cloudfront.net/datastreams/f-d%253A1696800e8e5225105fa555cd6d3db3a7c3fd99fbbfb06824a6b2b09c%252BIMAGE_TINY%252BIMAGE_TINY.1&usqp=CAU

Triangle TSR = Triangle DEF

500

Which of the following transformations will have an image that is CONGRUENT to the preimage?

a)  (x, y) -> (x + 3,  y - 3)

b) (x, y) -> (2x, 2y)

c) (x, y) -> (-x, y + 3)

d) (x, y) -> (y, x)

a)  (x, y) -> (x + 3,  y - 3)

b) (x, y) -> (2x, 2y)

c) (x, y) -> (-x, y + 3)

d) (x, y) -> (y, x)

Similarity

100

What does it mean if two shapes are SIMILAR but NOT CONGRUENT

Same shape, different sizes

200

For each scale factor, would the dilation be an enlargement, reduction, or neither?

a) k = 2/3

b) k = 1.01

c) k = 4/3

a) reduction

b) enlargement

c) enlargement

300

What is the scale factor from the SMALL SHAPE to the LARGE SHAPE?  Make sure your answer is fully simplified

https://encrypted-tbn0.gstatic.com/images?q=tbn:ANd9GcSxNwCkb2wi3BEKGeQEPskjMrOYcRVzYgGfk78EfzEc_IRsgc3vFnFvnZB7uSjnkh_N1EI:https://www.wikihow.com/images/thumb/5/56/Find-Scale-Factor-Step-2-Version-4.jpg/v4-460px-Find-Scale-Factor-Step-2-Version-4.jpg&usqp=CAU

3/2 

400

Calculate the scale factor from the LARGE shape to the SMALL shape

https://study.com/cimages/multimages/16/similar2.jpg

1/2 or 0.5

500

What is the value of f?

https://i.ytimg.com/vi/QRDKS2rE8yA/maxresdefault.jpg

4.5

Trigonometry

100

How do we remember which trigonometric ratio is which?

SOH   CAH   TOA

200

What is cos(B) in this triangle?

https://i.ytimg.com/vi/SqFQZWRALGc/maxresdefault.jpg

5/13

300

Write the equation that would allow you to solve for c:

sin(31 degrees) = 5.12/c

400

Solve for x.  Round to two decimal places

https://encrypted-tbn0.gstatic.com/images?q=tbn:ANd9GcQmYdrSI_tSWsOJel1u99SRqNRxXph86tDcYF4V2yO662OgLQpBWt0L2HPZWogj9F_tY4U:https://mathbitsnotebook.com/Algebra2/TrigConcepts/setup1.jpg&usqp=CAU

16.73

500

Solve for x.  Round to one decimal place

https://dr282zn36sxxg.cloudfront.net/datastreams/f-d%3Ace9b97f3f090ebdb04933a317a14040a0fdce977a305fcc55827c0e2%2BIMAGE_TINY%2BIMAGE_TINY.1

22.9

Area/Volume

100

The volume of a prism is V = Bh.  What does B stand for?

AREA of the base

200

V = (1/3) Bh  represents the equation for volume of this type of figure:

Pyramid

300

What is the volume of this figure?

https://cdn-academy.pressidium.com/academy/wp-content/uploads/2023/10/volume-and-surface-area-of-a-prism-example-three.webp

750in^3

400

What is the volume of this figure?  Leave your answer in terms of pi.

https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1600014548172-DPF1PCLU6QKVFVL74UI9/volume+of+a+cylinder+from+the+diameter+of+the+base

32pi in^3

500

What is the volume of this figure?  Leave your answer in terms of pi:

https://encrypted-tbn0.gstatic.com/images?q=tbn:ANd9GcRrVMMhH_7n1orMA0CPJIAuRB5YvMhJE7vMphof8Tu2wa3vkuUQW1l2jPg4bAnYmE7mYw8:https://www.ixl.com/~media/1/zFot9GL2os68GJJqVit3XSYSr3V4EbeOlRpG5fJW1nJNAiFhJax7CMub0CVi85plCSo6cJSuQdfjK0gxzqTIPYoTyOa1vVu43HHz3AgtQVw.svg&usqp=CAU

288pi cm^3