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Mathematics
10th
grade
Unit 4 Review: Standard 3 and 4 (G.CO.8 and G.CO.11
13 questions
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- 1. Multiple Choice
In the figure below, segments AB || DC and AC || BD. Why are ΔABD and ΔDCA congruent?
SSS≅
SAS≅
ASA≅
AAS≅
- 2. Multiple Choice
Two men are standing by a palm tree and are looking at the exposed treasure located on the rock across from the canyon. They have a map that lists the distances between certain items. Find the distance between the men and the treasure.
93ft
103ft
45ft
60ft
- 3. Multiple Choice
Joe wants to find the height of a pine tree for a math class project. Joe is 6 ft tall. He stands 12 ft away from the tree and his shadow is 8 ft long. What is the correct proportion to find X?
x=15
x=20
x=4
x=6
- 4. Multiple Choice
In the diagram below Δ MNL ≈ Δ XZY. What is the length of ZX?
ZX=7
ZX=35
ZX=40
ZX=10
- 5. Multiple Choice
Analyze the following triangles and determine the similarity postulate that makes the triangles similar.
AA~
SSS~
SAS~
Triangles are not similar.
- 6. Multiple Choice
A building is 33 ft tall and casts a shadow that is 11 ft long. If a neighboring building casts a shadow that is 8 ft long at the same time, how tall is the building?
The height of the building is 33ft
The height of the building is 11ft
The height of the building is 264ft
The height of the building is 24ft
- 7. Drop Down
Prove the following theorem by completing the paragraph proof: "If a quadrilateral is a parallelogram, then the opposite sides are congruent.
By the (a) , AB || CD and BC || AD. Let AC be the transversal of AB and DC. So ∠A ≅ ∠C and ∠B ≅ ∠D by the alternate interior angles theorem. AC ≅ AC by the (b) . ΔABC ≅ ΔCDA by (c) congruence criterion. AB≅CD and BC≅AD by (d) ."
A
congruent parts of congruent triangles
definition of parallelogramReflexive Property of CongruenceSAS≅SSS≅ASA≅Congruent Parts of Congruent Triangles - 8. Drag and Drop
The diagonals of parallelograms bisect each other.
1) Name the two diagonals of the parallelogram at right.
(a)
2) Complete the statement below to show that the diagonals bisect each other. AE≅ (b) and DE≅ (c)
AC and BDECEB - 9. Match
A parallelogram ABCD is shown. Anna is asked to prove that AB≅DC and AD≅BC. Help her complete her proof by using the given statements and reasons under the figure. Fill in the missing steps and reasons in the proof provided.
△ABC≅△CDA
Reflexive Property of Congruence
Congruent Parts of Congruent Triangles
AC is a transversal of AD and BC
Definition of Parallelogram
- 10. Multiple Choice
Use the parallelogram to determine which of the following values are correct. Select three that apply.
x=4.5
y=120
<A=60
<B=120
<c=60
- 11. Multiple Choice
Part of a roof is shaped like a parallelogram, as shown below.
a) What is the measure of ∠A?
a) 60 degrees
a) 45 degreesb) 90 degreesc) 315 degrees
- 12. Multiple Choice
Part of a roof is shaped like a parallelogram, as shown below.
b) What is the measure of ∠B?
270 degrees
45 degrees
90 degrees
135 degrees
- 13. Multiple Choice
Part of a roof is shaped like a parallelogram, as shown below.
c) What is the length of side AD?
28 ft
45 ft
15ft
90 ft
- Answer choicesTagsAnswer choicesTags